Numerical analysis Books
World Scientific Publishing Co Pte Ltd Numerical Linear Algebra
Book Synopsis'The numerical algorithms presented are written in pseudocode and based on MATLAB, a programming and numeric computing platform widely used in STEM fields. Thus, no formal training in computer science or knowledge of any specific programming language is needed to parse the algorithms. Summing up: Recommended.'CHOICEMany students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds.
£71.25
World Scientific Publishing Co Pte Ltd Numerical Linear Algebra
Book Synopsis'The numerical algorithms presented are written in pseudocode and based on MATLAB, a programming and numeric computing platform widely used in STEM fields. Thus, no formal training in computer science or knowledge of any specific programming language is needed to parse the algorithms. Summing up: Recommended.'CHOICEMany students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds.
£42.75
World Scientific Publishing Co Pte Ltd Explorations In Numerical Analysis: Python
Book SynopsisThis textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations.Topics covered include computer arithmetic, error analysis, solution of systems of linear equations, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language.This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.Table of ContentsPreface; Preliminaries: What is Numerical Analysis?; Understanding Error; Numerical Linear Algebra: Direct Methods for Linear Systems; Least Squares Problems; Iterative Methods for Linear Systems; Eigenvalue Problems; Data Fitting and Function Approximation: Polynomial Interpolation; Approximation of Functions; Differentiation and Integration; Nonlinear Equations and Optimization: Zeros of Nonlinear Functions; Optimization; Differential Equations: Initial Value Problems; Two-Point Boundary Value Problems; Partial Differential Equations; Appendices: Review of Calculus; Review of Linear Algebra; Bibliography; Index;
£121.50
World Scientific Publishing Co Pte Ltd Explorations in Numerical Analysis: Python
Book SynopsisThis textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations. Topics covered include computer arithmetic, error analysis, solution of systems of linear equations, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language. This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.Table of ContentsPreface; Preliminaries: What is Numerical Analysis?; Understanding Error; Numerical Linear Algebra: Direct Methods for Linear Systems; Least Squares Problems; Iterative Methods for Linear Systems; Eigenvalue Problems; Data Fitting and Function Approximation: Polynomial Interpolation; Approximation of Functions; Differentiation and Integration; Nonlinear Equations and Optimization: Zeros of Nonlinear Functions; Optimization; Differential Equations: Initial Value Problems; Two-Point Boundary Value Problems; Partial Differential Equations; Appendices: Review of Calculus; Review of Linear Algebra; Bibliography; Index;
£61.75
World Scientific Publishing Co Pte Ltd Practical Numerical Mathematics With Matlab: A
Book SynopsisThis workbook and solutions manual is intended for advanced undergraduate or beginning graduate students as a supplement to a traditional course in numerical mathematics and as preparation for independent research involving numerical mathematics. The solutions manual provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. It is also valuable for classroom instructors to help pinpoint the author's intent in each exercise and to provide a model for graders. Upon completion of this material, students will have a working knowledge of MATLAB programming, they will have themselves programmed algorithms encountered in classwork and textbooks, and they will know how to check and verify their own programs against hand calculations and by reference to theoretical results, special polynomial solutions and other specialized solutions. No previous programming experience with MATLAB is necessary.
£108.00
World Scientific Publishing Co Pte Ltd Practical Numerical Mathematics With Matlab:
Book SynopsisThis workbook and solutions manual is intended for advanced undergraduate or beginning graduate students as a supplement to a traditional course in numerical mathematics and as preparation for independent research involving numerical mathematics. The solutions manual provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. It is also valuable for classroom instructors to help pinpoint the author's intent in each exercise and to provide a model for graders. Upon completion of this material, students will have a working knowledge of MATLAB programming, they will have themselves programmed algorithms encountered in classwork and textbooks, and they will know how to check and verify their own programs against hand calculations and by reference to theoretical results, special polynomial solutions and other specialized solutions. No previous programming experience with MATLAB is necessary.
£99.00
World Scientific Publishing Co Pte Ltd Advanced Mathematical And Computational Tools In
Book SynopsisThis volume contains original, refereed contributions by researchers from national metrology institutes, universities and laboratories across the world involved in metrology and testing. The volume has been produced by the International Measurement Confederation Technical Committee 21, Mathematical Tools for Measurements and is the twelfth in the series. The papers cover topics in numerical analysis and computational tools, statistical inference, regression, calibration and metrological traceability, computer science and data provenance, and describe applications in a wide range of application domains. This volume is useful to all researchers, engineers and practitioners who need to characterize the capabilities of measurement systems and evaluate measurement data. It will also be of interest to scientists and engineers concerned with the reliability, trustworthiness and reproducibility of data and data analytics in data-driven systems in engineering, environmental and life sciences.
£148.50
World Scientific Publishing Co Pte Ltd Practical Numerical Mathematics With Matlab: A
Book SynopsisThis workbook and solutions manual is intended for advanced undergraduate or beginning graduate students as a supplement to a traditional course in numerical mathematics and as preparation for independent research involving numerical mathematics. The solutions manual provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. It is also valuable for classroom instructors to help pinpoint the author's intent in each exercise and to provide a model for graders. Upon completion of this material, students will have a working knowledge of MATLAB programming, they will have themselves programmed algorithms encountered in classwork and textbooks, and they will know how to check and verify their own programs against hand calculations and by reference to theoretical results, special polynomial solutions and other specialized solutions. No previous programming experience with MATLAB is necessary.
£85.50
World Scientific Publishing Co Pte Ltd Practical Numerical Mathematics With Matlab: A
Book SynopsisThis workbook and solutions manual is intended for advanced undergraduate or beginning graduate students as a supplement to a traditional course in numerical mathematics and as preparation for independent research involving numerical mathematics. The solutions manual provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. It is also valuable for classroom instructors to help pinpoint the author's intent in each exercise and to provide a model for graders. Upon completion of this material, students will have a working knowledge of MATLAB programming, they will have themselves programmed algorithms encountered in classwork and textbooks, and they will know how to check and verify their own programs against hand calculations and by reference to theoretical results, special polynomial solutions and other specialized solutions. No previous programming experience with MATLAB is necessary.
£61.75
World Scientific Publishing Co Pte Ltd Practical Numerical Mathematics With Matlab:
Book SynopsisThis workbook and solutions manual is intended for advanced undergraduate or beginning graduate students as a supplement to a traditional course in numerical mathematics and as preparation for independent research involving numerical mathematics. The solutions manual provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. It is also valuable for classroom instructors to help pinpoint the author's intent in each exercise and to provide a model for graders. Upon completion of this material, students will have a working knowledge of MATLAB programming, they will have themselves programmed algorithms encountered in classwork and textbooks, and they will know how to check and verify their own programs against hand calculations and by reference to theoretical results, special polynomial solutions and other specialized solutions. No previous programming experience with MATLAB is necessary.
£52.25
World Scientific Publishing Co Pte Ltd Practical Numerical Mathematics With Matlab: A
Book SynopsisThis workbook and solutions manual is intended for advanced undergraduate or beginning graduate students as a supplement to a traditional course in numerical mathematics and as preparation for independent research involving numerical mathematics. The solutions manual provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. It is also valuable for classroom instructors to help pinpoint the author's intent in each exercise and to provide a model for graders. Upon completion of this material, students will have a working knowledge of MATLAB programming, they will have themselves programmed algorithms encountered in classwork and textbooks, and they will know how to check and verify their own programs against hand calculations and by reference to theoretical results, special polynomial solutions and other specialized solutions. No previous programming experience with MATLAB is necessary.
£162.00
World Scientific Publishing Co Pte Ltd Functional Distribution Of Anomalous And
Book SynopsisThis volume presents a pedagogical review of the functional distribution of anomalous and nonergodic diffusion and its numerical simulations, starting from the studied stochastic processes to the deterministic partial differential equations governing the probability density function of the functionals. Since the remarkable theory of Brownian motion was proposed by Einstein in 1905, it had a sustained and broad impact on diverse fields, such as physics, chemistry, biology, economics, and mathematics. The functionals of Brownian motion are later widely attractive for their extensive applications. It was Kac, who firstly realized the statistical properties of these functionals can be studied by using Feynman's path integrals.In recent decades, anomalous and nonergodic diffusions which are non-Brownian become topical issues, such as fractional Brownian motion, Lévy process, Lévy walk, among others. This volume examines the statistical properties of the non-Brownian functionals, derives the governing equations of their distributions, and shows some algorithms for solving these equations numerically.
£85.50
World Scientific Publishing Co Pte Ltd Numerical Methods For Engineers: A Practical
Book SynopsisThe unique compendium is an introductory reference to learn the most popular numerical methods cohesively. The text focuses on practical applications rather than on abstract and heavy analytical concepts. The key elements of the numerical methods are Taylor series and linear algebra. Based on the authors' years of experience, most materials on the text are tied to those elements in a unified manner.The useful reference manual benefits professionals, researchers, academics, senior undergraduate and graduate students in chemical engineering, civil engineering, mechanical engineering and aerospace engineering.
£85.50
World Scientific Publishing Co Pte Ltd Harmonic Analysis On Hypergroups: Approximation
Book SynopsisThe book aims at giving a monographic presentation of the abstract harmonic analysis of hypergroups, while combining it with applied topics of spectral analysis, approximation by orthogonal expansions and stochastic sequences. Hypergroups are locally compact Hausdorff spaces equipped with a convolution, an involution and a unit element. Related algebraic structures had already been studied by Frobenius around 1900. Their axiomatic characterisation in harmonic analysis was later developed in the 1970s. Hypergoups naturally emerge in seemingly different application areas as time series analysis, probability theory and theoretical physics.The book presents harmonic analysis on commutative and polynomial hypergroups as well as weakly stationary random fields and sequences thereon. For polynomial hypergroups also difference equations and stationary sequences are considered. At greater extent than in the existing literature, the book compiles a rather comprehensive list of hypergroups, in particular of polynomial hypergroups. With an eye on readers at advanced undergraduate and graduate level, the proofs are generally worked out in careful detail. The bibliography is extensive.
£148.50
World Scientific Publishing Co Pte Ltd Numerical Methods For Engineers: A Practical
Book SynopsisThe unique compendium is an introductory reference to learn the most popular numerical methods cohesively. The text focuses on practical applications rather than on abstract and heavy analytical concepts. The key elements of the numerical methods are Taylor series and linear algebra. Based on the authors' years of experience, most materials on the text are tied to those elements in a unified manner.The useful reference manual benefits professionals, researchers, academics, senior undergraduate and graduate students in chemical engineering, civil engineering, mechanical engineering and aerospace engineering.
£52.25
World Scientific Publishing Company Numbers and Functions
Book Synopsis
£85.50
World Scientific Publishing Company Introduction To Applied Numerical Analysis An
Book Synopsis
£66.50
World Scientific Publishing Co Pte Ltd Introduction To The Method Of Fundamental
Book SynopsisOver the past two decades, the method of fundamental solutions (MFS) has attracted great attention and has been used extensively for the solution of scientific and engineering problems. The MFS is a boundary meshless collocation method which has evolved from the boundary element method. In it, the approximate solution is expressed as a linear combination of fundamental solutions of the operator in the governing partial differential equation.One of the main attractions of the MFS is the simplicity with which it can be applied to the solution of boundary value problems in complex geometries in two and three dimensions. The method is also known by many different names in the literature such as the charge simulation method, the de-singularization method, the virtual boundary element method, etc.Despite its effectiveness, the original version of the MFS is confined to solving boundary value problems governed by homogeneous partial differential equations. To address this limitation, we introduce various types of particular solutions to extend the method to solving general inhomogeneous boundary value problems employing the method of particular solutions.This book consists of two parts. Part I aims to provide theoretical support for beginners. In the spirit of reproducible research and to facilitate the understanding of the method and its implementation, several MATLAB codes have been included in Part II.This book is highly recommended for use by post-graduate researchers and graduate students in scientific computing and engineering.
£147.25
Springer Verlag, Singapore Monte Carlo Methods
Book SynopsisThis book seeks to bridge the gap between statistics and computer science. It provides an overview of Monte Carlo methods, including Sequential Monte Carlo, Markov Chain Monte Carlo, Metropolis-Hastings, Gibbs Sampler, Cluster Sampling, Data Driven MCMC, Stochastic Gradient descent, Langevin Monte Carlo, Hamiltonian Monte Carlo, and energy landscape mapping. Due to its comprehensive nature, the book is suitable for developing and teaching graduate courses on Monte Carlo methods. To facilitate learning, each chapter includes several representative application examples from various fields. The book pursues two main goals: (1) It introduces researchers to applying Monte Carlo methods to broader problems in areas such as Computer Vision, Computer Graphics, Machine Learning, Robotics, Artificial Intelligence, etc.; and (2) it makes it easier for scientists and engineers working in these areas to employ Monte Carlo methods to enhance their research.Trade Review“This monograph ... is intended to be a textbook for graduate students in statistics, computer science and engineering. It covers a very broad range of topics ... . Each chapter is finished by a rather long list of relevant references. Thus, it can be used also as a reference book by researches in the fields of machine learning, pattern recognition ... . it can be a useful reference to many important Monte Carol methods.” (Jaromír Antoch, zbMATH 1483.65001, 2022)“True to its goal, the text offers a comprehensive overview on Monte Carlo methods. … this text is a quality reference for researchers interested in computer vision, computer graphics, machine learning, artificial intelligence and related fields.” (Grant Innerst, MAA Reviews, July 18, 2021)Table of Contents1 Introduction to Monte Carlo Methods.- 2 Sequential Monte Carlo.- 3 Markov Chain Monte Carlo - the Basics.- 4 Metropolis Methods and Variants.- 5 Gibbs Sampler and its Variants.- 6 Cluster Sampling Methods.- 7 Convergence Analysis of MCMC.- 8 Data Driven Markov Chain Monte Carlo.- 9 Hamiltonian and Langevin Monte Carlo.- 10 Learning with Stochastic Gradient.- 11 Mapping the Energy Landscape.
£89.99
Springer Verlag, Singapore Numerical Methods of Mathematics Implemented in
Book SynopsisThis book systematically classifies the mathematical formalisms of computational models that are required for solving problems in mathematics, engineering and various other disciplines. It also provides numerical methods for solving these problems using suitable algorithms and for writing computer codes to find solutions. For discrete models, matrix algebra comes into play, while for continuum framework models, real and complex analysis is more suitable. The book clearly describes the method–algorithm–code approach for learning the techniques of scientific computation and how to arrive at accurate solutions by applying the procedures presented. It not only provides instructors with course material but also serves as a useful reference resource. Providing the detailed mathematical proofs behind the computational methods, this book appeals to undergraduate and graduate mathematics and engineering students.The computer codes have been written in the Fortran programming language, which is the traditional language for scientific computation. Fortran has a vast repository of source codes used in real-world applications and has continuously been upgraded in line with the computing capacity of the hardware. The language is fully backwards compatible with its earlier versions, facilitating integration with older source codes.Table of ContentsChapter 1. Computation in Fortran.- Chapter 2. Equations.- Chapter 3. System of Equations.- Chapter 4. Interpolation.- Chapter 5. Differentiation and Integration.- Chapter 6. Ordinary Differential Equations.- Chapter 7. Partial Differential Equations.- Chapter 8. Approximation.- Chapter 9. Matrix Eigenvalues.- Chapter 10. Fast Fourier Transform.
£49.49
Springer Verlag, Singapore Numerical Methods for Fractional Differentiation
Book SynopsisThis book discusses numerical methods for solving partial differential and integral equations, as well as ordinary differential and integral equations, involving fractional differential and integral operators. Differential and integral operators presented in the book include those with exponential decay law, known as Caputo–Fabrizio differential and integral operators, those with power law, known as Riemann–Liouville fractional operators, and those for the generalized Mittag–Leffler function, known as the Atangana–Baleanu fractional operators. The book reviews existing numerical schemes associated with fractional operators including those with power law, while also highlighting new trends in numerical schemes for recently introduced differential and integral operators. In addition, the initial chapters address useful properties of each differential and integral fractional operator. Methods discussed in the book are subsequently used to solved problems arising in many fields of science, technology, and engineering, including epidemiology, chaos, solitons, fractals, diffusion, groundwater, and fluid mechanics. Given its scope, the book offers a valuable resource for graduate students of mathematics and engineering, and researchers in virtually all fields of science, technology, and engineering, as well as an excellent addition to libraries.Table of Contents1. Review of Fractional Differentiation.- 2. Finite Difference Approximations.- 3. Numerical Approximation of Riemann-Liouville Differentiation.- 4. Numerical Approximation of Caputo Differentiation.- 5. Numerical Approximation of Caputo-Fabrizio Differentiation.- 6. Numerical Approximation of Atangana-Baleanu Differentiation.- 7. Application to Ordinary Fractional Differential Equations.- 8. Application to Partial Fractional Differential Equation.
£82.49
Springer Verlag, Singapore Introduction to Unconstrained Optimization with R
Book SynopsisThis book discusses unconstrained optimization with R—a free, open-source computing environment, which works on several platforms, including Windows, Linux, and macOS. The book highlights methods such as the steepest descent method, Newton method, conjugate direction method, conjugate gradient methods, quasi-Newton methods, rank one correction formula, DFP method, BFGS method and their algorithms, convergence analysis, and proofs. Each method is accompanied by worked examples and R scripts. To help readers apply these methods in real-world situations, the book features a set of exercises at the end of each chapter. Primarily intended for graduate students of applied mathematics, operations research and statistics, it is also useful for students of mathematics, engineering, management, economics, and agriculture.Table of Contents1. Introduction.- 2. Mathematical Foundations.- 3. Basics of R.- 4. First Order and Second Order Necessary Conditions.- 5. One Dimensional Optimization Methods.- 6. Steepest Descent Method.- 7. Newton’s Method.- 8. Conjugate Direction Methods.- 9. Quasi-Newton Methods.
£40.49
Springer Verlag, Singapore Soft Computing for Problem Solving: Proceedings
Book SynopsisThis two-volume book provides an insight into the 10th International Conference on Soft Computing for Problem Solving (SocProS 2020). This international conference is a joint technical collaboration of Soft Computing Research Society and Indian Institute of Technology Indore. The book presents the latest achievements and innovations in the interdisciplinary areas of soft computing. It brings together the researchers, engineers and practitioners to discuss thought-provoking developments and challenges, in order to select potential future directions. It covers original research papers in the areas including but not limited to algorithms (artificial immune system, artificial neural network, genetic algorithm, genetic programming and particle swarm optimization) and applications (control systems, data mining and clustering, finance, weather forecasting, game theory, business and forecasting applications). The book will be beneficial for young as well as experienced researchers dealing across complex and intricate real-world problems for which finding a solution by traditional methods is a difficult task.Table of ContentsSwarm Programming using Multi-Verse Optimizer.- Muzzle Pattern based Cattle Identification Using Generative Adversarial Networks.- Diverse Sports Video Classification Using Large Space MPEG Features.- An Intelligent Method for Plastic Money Fraud Detection using Isolation Forest Classifier.- Mixed Differential Evolution and Genetic Algorithm Hybridization for Solving Global Optimization Problems.- Energy Neutral Classroom.
£161.99
Springer Verlag, Singapore Soft Computing for Problem Solving: Proceedings
Book SynopsisThis two-volume book provides an insight into the 10th International Conference on Soft Computing for Problem Solving (SocProS 2020). This international conference is a joint technical collaboration of Soft Computing Research Society and Indian Institute of Technology Indore. The book presents the latest achievements and innovations in the interdisciplinary areas of soft computing. It brings together the researchers, engineers and practitioners to discuss thought-provoking developments and challenges, in order to select potential future directions. It covers original research papers in the areas including but not limited to algorithms (artificial immune system, artificial neural network, genetic algorithm, genetic programming and particle swarm optimization) and applications (control systems, data mining and clustering, finance, weather forecasting, game theory, business and forecasting applications). The book will be beneficial for young as well as experienced researchers dealing across complex and intricate real-world problems for which finding a solution by traditional methods is a difficult task.Table of ContentsA deep semi-supervised approach for multi-label land-cover classification under scarcity of labelled images.- Role of individual samples in Modified Possibilistic c-Means classifier for handling heterogeneity within mustard crop.- Specially Structured Flow Shop Scheduling Models with processing times as Trapezoidal Fuzzy Numbers to optimize Waiting time of Jobs.- Potential Fishing Zone Characterization in the Indian Ocean by Machine Learning Approach.- A novel method to optimize interval length for intuitionistic fuzzy time series.- Low Altitude Unmanned Aerial Vehicle For Real Time Green House Plant Disease Monitoring Using Convolutional Neural Network.
£143.99
Springer Verlag, Singapore Mathematical and Computational Studies on
Book SynopsisThis book’s aim is to study the mathematical and computational models to analyze the progress, prognosis, prevention, and panacea of breast cancer. The book discusses application of Markov chains and transient mappings, Charlie–Simpson numerical algorithm, models represented by nonlinear reaction–diffusion-type partial differential equations, and related techniques. The book also attempts to design mathematical model of targeted strategic treatments by using Skilled Killer Drugs (SKD1 and SKD2) to suggest the improvisation of future cancer treatments. Both graduate students and researchers of computational biology and oncologists will benefit by studying this book. Researchers of cancer studies and biological sciences will also find this work helpful.Table of ContentsIntroduction.- Statistics: The Backgrounds & The Basis.- Attacker & Defender Model: The Dynamics of the Immune System.- Mathematical Modeling of Metastatic Cancer.- Mathematical/Computational Modeling of Advanced Immunotherapy.- Mathematical Modeling & Computational Studies On The War Against Breast Cancer.- Gene Therapy.- The Smartest Fighters.- Nutritional Therapy.- The Fateful Code & The Future Course.- Conclusion.
£56.99
Springer Verlag, Singapore Differential Equations and Applications: ICABS
Book SynopsisThis book collects select papers presented at the International Conference on Applications of Basic Sciences, held at Tiruchirappalli, Tamil Nadu, India, from 19-21 November 2019. The book discusses topics on singular perturbation problems, differential equations, numerical analysis, fuzzy logics, fuzzy differential equations, and mathematical physics, and their interdisciplinary applications in all areas of basic sciences: mathematics, physics, chemistry, and biology. It will be useful to researchers and scientists in all disciplines of basic sciences. This book will be very useful to know the different scientific approaches for a single physical system.Table of Contents1. Virtual Element Method for Singularly Perturbed Reaction-Diffusion Problems on Polygonal Domains: J.L. Gracia and D. Irisarri.- 2. Global Uniform Convergence for Weakly Coupled System of Singularly Perturbed Convection Diffusion Problems: S. Chandra Sekhara Rao, Varsha Srivastava, and Abhay Kumar Chaturvedi.- 3. A Parameter Uniform Fitted Mesh Method for a Weakly Coupled System of Three Partially Singularly Perturbed Convection-Diffusion Equations: Valarmathi Sigamani, Saravana Sankar Kalaiselvan, John J H Miller.- 4. Numerical Method for a Boundary Value Problem for a Linear System of Partially Singularly Perturbed Parabolic Delay Differential Equations of Reaction-Diffusion Type: Parthiban Saminathan and Franklin Victor.- 5. A First-Order Convergent Parameter Uniform Numerical Method for a Singularly Perturbed Second-Order Delay-Differential Equation of Reaction-Diffusion Type with a Discontinuous Source Term: Manikandan Mariappan, John J H Miller, Valarmathi Sigamani.- 6. Fitted Numerical Method with Linear Interpolation for Third-Order Singularly Perturbed Delay Problems: R. Mahendran and V. Subburayan.- 7. A Parameter Uniform Essentially First-Order Convergence of a Fitted Mesh Method for a Class of Parabolic Singularly Perturbed Robin Problem for a System of Reaction-Diffusion Equations: R. Ishwariya, Valarmathi Sigamani, John J H Miller.- 8. Finite Difference Method and Analysis for First-Order Hyperbolic Delay Differential Equations: S. Karthick and V. Subburayan.- 9. Fitted Mesh Methods for a Class of Weakly Coupled System of Singularly Perturbed Convection-Diffusion Equations: Saravana Sankar Kalaiselvan, Valarmathi Sigamani, John J H Miller.- 10. Numerical Analysis of a Finite Difference Method for a Linear System of Singularly Perturbed Parabolic Delay Differential Reaction-Diffusion Equations with Discontinuous Source Terms: Parthiban Saminathan and Franklin Victor.
£116.99
Springer Verlag, Singapore Synergies in Analysis, Discrete Mathematics, Soft
Book SynopsisThis book contains select papers on mathematical analysis and modeling, discrete mathematics, fuzzy sets, and soft computing. All the papers were presented at the international conference on FIM28-SCMSPS20 virtually held at Sri Sivasubramaniya Nadar (SSN) College of Engineering, Chennai, India, and Stella Maris College (Autonomous), Chennai, from November 23–27, 2020. The conference was jointly held with the support of the Forum for Interdisciplinary Mathematics. Both the invited articles and submitted papers were broadly grouped under three heads: Part 1 on analysis and modeling (six chapters), Part 2 on discrete mathematics and applications (six chapters), and Part 3 on fuzzy sets and soft computing (three chapters).Table of ContentsPART I ANALYSIS AND MODELLINGThe Second- and Third-order Hermitian Toeplitz Determinants for Some Subclasses of Analytic Functions Associated with Exponential Function,P.Gurusamy, R. Jayasankar and S. SivasubramanianSome Results on a Starlike Class with Respect to $(j, m) $-symmetric FunctionsK. Renuka Devi, S. Sivasubramanian, Hamid Shamsan and S. LathaExperimental Evaluation of Four Intermediate Filters to Improve the Motion Field EstimationVanel Lazcano and Claudio Isa-MohorOn the $s^{th}$ Derivative of a PolynomialBarchand Chanam and Kshetrimayum KrishnadasOn the Problem of Pricing a Double Barrier Option in a Modified Black–Scholes Environment G. Venkiteswaran and S. UdayabaskaranCaputo Sequential Fractional Differential Equations with ApplicationsAghalaya S. Vatsala and Govinda PageniPART II DISCRETE MATHEMATICS AND APPLICATIONSHerscovici’s Conjecture on Product of Some Complete Bipartite GraphsA. Lourdusamy and S. Saratha NellainayakiOn Fault-Tolerant Metric Dimension of Heptagonal Circular Ladder and Its Related GraphsSunny Kumar Sharma and Vijay Kumar BhatBKS Fuzzy Inference Employing h-ImplicationsSayantan Mandal and Balasubramaniam Jayaram Note on Distributivity of Different String Operations over Language SetsUjjwal Kumar Mishra, Kalpana Mahalingam and Rama RaghavanA Generalization of Chi-binding FunctionsM. A. Shalu and T. P. SandhyaA Short Proof of Ore’s f-factor Theorem using FlowsSriraman Sridharan and Patrick VilamajoPART III FUZZY SETS AND SOFT COMPUTINGA Decision-making Problem Involving Soft Fuzzy Number Valued Information System: Energy Efficient Light Emitting Diode BlubsFelbin C. Kennedy, Masilla Moses Kennedy, Arul Roselet Meryline S. andJayachandiran M.Role of Single-valued Linear Octagonal Neutrosophic Numbers in Multi-attribute Decision-making ProblemsSubasri S., Arul Roselet Meryline S. and Felbin C. Kennedy
£98.99
Springer Verlag, Singapore Frontiers in Industrial and Applied Mathematics:
Book SynopsisThis book publishes select papers presented at the 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2021), held at the Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India, from 21–22 December 2021. Most of the papers deal with mathematical theory embedded with its applications to engineering and sciences. This book illustrates numerical simulation of scientific problems and the state-of-the-art research in industrial and applied mathematics, including various computational and modeling techniques with case studies and concrete examples. Graduate students and researchers, who are interested in real applications of mathematics in the areas of computational and theoretical fluid dynamics, solid mechanics, optimization and operations research, numerical analysis, bio-mathematics, fuzzy, control and systems theory, dynamical systems and nonlinear analysis, algebra and approximation theory, will find the book useful. Table of ContentsC. Özman, T. Saner, F. Gül, M. Diederich, A. C. Benim, and U. Janoske, Computational and Experimental Investigation of Flow and Convective Heat Transfer along Rough Surfaces.- M. Kumar, Neelesh S. Upadhye, and A. K. B. Chand, Distribution of Noise in Linear Recurrent Fractal Interpolation Functions for Data Sets with α-Stable Noise.- Maggie E. Habeeb, Oblivious Transfer using Non-abelian Groups.- P. Kushwah and J. Saha, Solution of Population Balance Equation using Homotopy Analysis Method.- V. Singh, Waseem A. Khan, and A. Sharma, Certain Properties and their Volterra Integral Equation Associated with the Second-Kind Chebyshev Matrix Polynomials in Two Variables.- R. Saranya, N. Annapoorani, and J. Saha, Blow-up Analysis and Global Existence of Solutions for a Fractional Reaction-Diffusion Equation.- N. Rani and V. Mishra, Ways of Constructing Multiplicative Magic Cubes.- S. Singh Rawat and Komal, Novel q-Rung Orthopair Fuzzy Hamacher Dual Muirhead Mean Operator for Multi-Attribute Decision Making.- A. Srivastava and B. S. Bhadauria, Convective Instability in a Composite Nanofluid Layer under Local Thermal Non-equilibrium.- N. Madaan and S. Sharma, Investigation of Traffic Dynamics Considering Driver’s Characteristics and Downstream Traffic Conditions.- R. Pasupathi, M. A. Navascués, and A. K. B. Chand, Fractal Convolution Bessel Sequences on Rectangle.- S. Devaiya and S. K. Srivastava, Uniform Approximation of Functions Belonging to L[0,∞)-space Using Cγ.T Means of Fourier-Laguerre Series.- M. Diederich, F. Gül, C. Özman, A. C. Benim, L. Ihringer, and D. Möller, Numerical Modelling and Experimental Validation of Mechanical Separation of Helminth Eggs for Wastewater Purification.- H. A. Kumara Swamy, Sankar Mani, N. Keerthi Reddy, and S. R. Sudheendra, Heat Transfer and Second Law Analysis of Ag-water Nanoliquid in a Non-Uniformly Heated Porous Annulus.- Anjali and M. K. Singh, Qualitative Analysis of Peer Influence Effects on Testing of Infectious Disease Model.- R. Goel, R. C. Mittal, and N. Ahlawat, B-Splines Collocation Approach to Simulate Secondary Dengue Virus (DENV) Infection Model with Diffusion.- A. Kumar, B.S Bhadauria, and A. Srivastava, Study of Heat and Mass Transfer in a Composite Nanofluid Layer.- Bhagwat R. Yewale and Deepak B. Pachpatte, On the Existence and Stability Analysis for Ψ-Caputo Fractional Boundary-value Problem.- R. Rath and K. Sharma, Alternative Crack-tip Enrichment Functions for XFEM in Arbitrary Polarized Piezoelectric Media.- S. C. Sekhara Rao and A. K. Chaturvedi, Convergence Analysis of a Layer Resolving Numerical Technique for a Class of Coupled System of Singularly Perturbed Parabolic Convection-Diffusion Equations having an Interface.- P. Megha and G. Chandhini, Filtering in Time-dependent Problems.- N. Gupta and N. Kanth, Heat Transfer Model for Silk Finishing Calendar.- H. D. Arora, A. Naithani, and Aakanksha, A Multi-attribute Decision Making Approach for Fuzzy Divergence Measure in Selection of Covid-19 Vaccine.- N. Singh and Manish K. Khandelwal, Magnetohydrodynamic Mixed Convection Flow in a Vertical Channel Filled with Porous Media.- A. Ali, R. P. Sharma, and A. Zishan, Group Action on Fuzzy Ideals of Near-Rings.- R. Revathi, D. Narsimhulu, and A. Ramu, Effect of Viscosity on the Spherical Shock Wave Propagation in a Dusty Gas with Radiation Heat Flux and Exponentially Varying Density.- M. Arora and R. Bajaj, On the Stability of a Heated Inclined Fluid Layer with Gravity Modulation.- S. C. Srivastava, N. K. Thakur, and A. Pramanayagam, Dynamical Study of an Epidemiological Model with Harvesting and Infection in Prey Population.- G. Raiya and M. Mittal, Joint Decisions on Imperfect Production Process and Carbon Emission Reduction Under Carbon Regulations.- S. Naskar, N. Islam, R. Gayen, and R. Datta, Propagation of Water Waves in the Presence of a Horizontal Plate Submerged in a Two-layer Fluid.- P. Saini, Transversely Isotropic Homogeneous Medium with Absorbing Boundary Conditions: Elastic Wave Propagation using Spectral Element Method.- K. B. Devi, Reingachan N., and T. B. Singh, Growth of Polynomials having No-zero Inside a Circle.- V. Siwach, Manju S. Tonk, and H. Poonia, Simulation of Queues in Sugar Mills using Monte-Carlo Technique.- R. Singla, G. Singh, and V. Kanwar, An Adaptive Step-size Optimized Seventh-order Hybrid Block Method for Integrating Differential Systems Efficiently.- M. Diederich, L. Di Bartolo, and A. C. Benim, Comparison of Prediction Accuracy between Interpolation and Artificial Intelligence Application of CFD Data for 3D Cavity Flow.- J. Tushar, A. Kumar, and S. Kumar, Virtual Element Methods for Optimal Control Problems Governed by Elliptic Interface Problems.- Vijay and A.K.B. Chand, Positivity Preserving Rational Quartic Spline Zipper Fractal Interpolation Functions.- Z. Mkhize, N. Parumasurand, and P. Singh, Heptic Hermite Collocation on Finite Elements.- J. Raj Sharma and H. Singh, A Computationally Efficient Sixth-order Method for Nonlinear Models.- S. Panday, W. H. Chanu, and Y. N. Devi, New Higher Order Iterative Method for Multiple Roots of Nonlinear Equations.- M. Singh and A. Gupta, Separation Axioms in Bipolar Fuzzy Topological Spaces.- V. Singh and B. Singh, A Study of Ciric Type Generalized Contraction via B-contraction with Application.- D. Amin and D. B. Singh, Evolution of Weak Discontinuities in a Perfectly Conducting Mixture of Gas and Dust Particles.- S. Chawla and S. C. Sekhara Rao, Numerical Treatment for a Coupled System of Singularly Perturbed Reaction Diffusion Equations with Robin Boundary Conditions and having Boundary and Interior Layers.- M. Arora, M. Danesh, and A. Rana, Double-Diffusive Convection with the Effect of Rotation in Magnetic Nanofluids.- R. Sasikumar and P. Arriyamuthu, Modeling for Implications of Covid-19 Pandemic on Healthcare System in India.
£170.99
Springer Verlag, Singapore Symplectic Integration of Stochastic Hamiltonian Systems
Book SynopsisThis book provides an accessible overview concerning the stochastic numerical methods inheriting long-time dynamical behaviours of finite and infinite-dimensional stochastic Hamiltonian systems. The long-time dynamical behaviours under study involve symplectic structure, invariants, ergodicity and invariant measure. The emphasis is placed on the systematic construction and the probabilistic superiority of stochastic symplectic methods, which preserve the geometric structure of the stochastic flow of stochastic Hamiltonian systems. The problems considered in this book are related to several fascinating research hotspots: numerical analysis, stochastic analysis, ergodic theory, stochastic ordinary and partial differential equations, and rough path theory. This book will appeal to researchers who are interested in these topics.Table of Contents
£999.99
Springer Verlag, Singapore Getting Started in Mathematical Life Sciences:
Book SynopsisThis book helps the reader make use of the mathematical models of biological phenomena starting from the basics of programming and computer simulation. Computer simulations based on a mathematical model enable us to find a novel biological mechanism and predict an unknown biological phenomenon. Mathematical biology could further expand the progress of modern life sciences. Although many biologists are interested in mathematical biology, they do not have experience in mathematics and computer science. An educational course that combines biology, mathematics, and computer science is very rare to date. Published books for mathematical biology usually explain the theories of established mathematical models, but they do not provide a practical explanation for how to solve the differential equations included in the models, or to establish such a model that fits with a phenomenon of interest. MATLAB is an ideal programming platform for the beginners of computer science. This book starts from the very basics about how to write a programming code for MATLAB (or Octave), explains how to solve ordinary and partial differential equations, and how to apply mathematical models to various biological phenomena such as diabetes, infectious diseases, and heartbeats. Some of them are original models, newly developed for this book. Because MATLAB codes are embedded and explained throughout the book, it will be easy to catch up with the text. In the final chapter, the book focuses on the mathematical model of the proneural wave, a phenomenon that guarantees the sequential differentiation of neurons in the brain. This model was published as a paper from the author’s lab (Sato et al., PNAS 113, E5153, 2016), and was intensively explained in the book chapter “Notch Signaling in Embryology and Cancer”, published by Springer in 2020. This book provides the reader who has a biological background with invaluable opportunities to learn and practice mathematical biology.Table of Contents1. Preparation.- 2. Introduction to MATLAB programming .- 3. Simulating time variations in life phenomena.- 4. Simulating temporal and spatial changes in biological phenomena.
£44.99
Springer Verlag, Singapore Numerical Analysis of Ordinary and Delay
Book SynopsisThis book serves as a concise textbook for students in an advanced undergraduate or first-year graduate course in various disciplines such as applied mathematics, control, and engineering, who want to understand the modern standard of numerical methods of ordinary and delay differential equations. Experts in the same fields can also learn about the recent developments in numerical analysis of such differential systems. Ordinary differential equations (ODEs) provide a strong mathematical tool to express a wide variety of phenomena in science and engineering. Along with its own significance, one of the powerful directions toward which ODEs extend is to incorporate an unknown function with delayed argument. This is called delay differential equations (DDEs), which often appear in mathematical modelling of biology, demography, epidemiology, and control theory. In some cases, the solution of a differential equation can be obtained by algebraic combinations of known mathematical functions. In many practical cases, however, such a solution is quite difficult or unavailable, and numerical approximations are called for. Modern development of computers accelerates the situation and, moreover, launches more possibilities of numerical means. Henceforth, the knowledge and expertise of the numerical solution of differential equations becomes a requirement in broad areas of science and engineering.One might think that a well-organized software package such as MATLAB serves much the same solution. In a sense, this is true; but it must be kept in mind that blind employment of software packages misleads the user. The gist of numerical solution of differential equations still must be learned. The present book is intended to provide the essence of numerical solutions of ordinary differential equations as well as of delay differential equations. Particularly, the authors noted that there are still few concise textbooks of delay differential equations, and then they set about filling the gap through descriptions as transparent as possible. Major algorithms of numerical solution are clearly described in this book. The stability of solutions of ODEs and DDEs is crucial as well. The book introduces the asymptotic stability of analytical and numerical solutions and provides a practical way to analyze their stability by employing a theory of complex functions.Table of ContentsChapter 1. Introduction.- Chapter 2. Initial-value Problems.- Chapter 3. Runge-Kutta Methods for ODEs.- Chapter 4. Polynomial Interpolation.- Chapter 5. Linear Multistep Methods for ODEs.- Chapter 6. Analytical Theory of Delay Differential Equations.- Chapter 7. Numerical DDEs and Their Stability.- Bibliography.- References.
£37.99
Springer Verlag, Singapore Sine Cosine Algorithm for Optimization
Book SynopsisThis open access book serves as a compact source of information on sine cosine algorithm (SCA) and a foundation for developing and advancing SCA and its applications. SCA is an easy, user-friendly, and strong candidate in the field of metaheuristics algorithms. Despite being a relatively new metaheuristic algorithm, it has achieved widespread acceptance among researchers due to its easy implementation and robust optimization capabilities. Its effectiveness and advantages have been demonstrated in various applications ranging from machine learning, engineering design, and wireless sensor network to environmental modeling. The book provides a comprehensive account of the SCA, including details of the underlying ideas, the modified versions, various applications, and a working MATLAB code for the basic SCA.Table of ContentsIntroduction.- Sine Cosine Algorithm.- Sine Cosine Algorithm for Multi-Objective Optimization.- Sine Cosine Algorithm for Discrete Optimization Problems.- Advancements in the Sine Cosine Algorithm.- Conclusion and Further Research Directions.
£23.74
World Scientific Publishing Co Pte Ltd Decomposition Methodology For Knowledge Discovery
Book SynopsisData Mining is the science and technology of exploring data in order to discover previously unknown patterns. It is a part of the overall process of Knowledge Discovery in Databases (KDD). The accessibility and abundance of information today makes data mining a matter of considerable importance and necessity. This book provides an introduction to the field with an emphasis on advanced decomposition methods in general data mining tasks and for classification tasks in particular. The book presents a complete methodology for decomposing classification problems into smaller and more manageable sub-problems that are solvable by using existing tools. The various elements are then joined together to solve the initial problem.The benefits of decomposition methodology in data mining include: increased performance (classification accuracy); conceptual simplification of the problem; enhanced feasibility for huge databases; clearer and more comprehensible results; reduced runtime by solving smaller problems and by using parallel/distributed computation; and the opportunity of using different techniques for individual sub-problems.Table of ContentsIntroduction to Data Mining; Decision Trees; Clustering Techniques; Ensemble Methods; Decomposition Methodology in Data Mining; Feature Set Decomposition; Space Decomposition; Sample Decomposition; Function Decomposition; Concept Decomposition; Automatic Decomposition; Conclusions, Advanced Issues and Open Questions.
£89.10
World Scientific Publishing Co Pte Ltd Landau-lifshitz Equations
Book SynopsisThis is a comprehensive introduction to Landau-Lifshitz equations and Landau-Lifshitz-Maxwell equations, beginning with the work by Yulin Zhou and Boling Guo in the early 1980s and including most of the work done by this Chinese group led by Zhou and Guo since. The book focuses on aspects such as the existence of weak solutions in multi dimensions, existence and uniqueness of smooth solutions in one dimension, relations with harmonic map heat flows, partial regularity and long time behaviors.The book is a valuable reference book for those who are interested in partial differential equations, geometric analysis and mathematical physics. It may also be used as an advanced textbook by graduate students in these fields.Table of ContentsPhysical Background of Landau-Lifshitz Equations and Landau-Lifshitz-Maxwell Equations; Existence of Weak Solutions to Landau-Lifshitz Equations and Landau-Lifshitz-Maxwell Equations in Multi-Dimensions; Existence and Uniqueness of Smooth Solutions for Landau-Lifshitz Equations with or without Gilbert Damping in One Dimension; Discovery of the Relations with Harmonic Map Heat Flows and Partial Regularity for Chen-Struwe Solutions on Two Dimensional Riemannian Manifolds; Partial Regularity for Weak Solutions to Landau-Lifshitz Equations and Landau-Lifshitz-Maxwell Equations in Higher Dimensions; Long Time Behaviors and Attractors.
£110.70
World Scientific Publishing Co Pte Ltd Linear Operator Equations: Approximation And
Book SynopsisMany problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be.This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.Table of ContentsBasic Results from Functional Analysis; Well-Posed Equations and Their Approximations; Ill-Posed Equations and Their Regularization; Regularized Approximation Methods.
£80.75
World Scientific Publishing Co Pte Ltd Matrix Methods: Theory, Algorithms And
Book SynopsisCompared to other books devoted to matrices, this volume is unique in covering the whole of a triptych consisting of algebraic theory, algorithmic problems and numerical applications, all united by the essential use and urge for development of matrix methods. This was the spirit of the 2nd International Conference on Matrix Methods and Operator Equations from 23-27 July 2007 in Moscow that was organized by Dario Bini, Gene Golub, Alexander Guterman, Vadim Olshevsky, Stefano Serra-Capizzano, Gilbert Strang and Eugene Tyrtyshnikov.Matrix methods provide the key to many problems in pure and applied mathematics. However, linear algebra theory, numerical algorithms and matrices in FEM/BEM applications usually live as if in three separate worlds. In this volume, maybe for the first time ever, they are compiled together as one entity as it was at the Moscow meeting, where the algebraic part was impersonated by Hans Schneider, algorithms by Gene Golub, and applications by Guri Marchuk. All topics intervened in plenary sessions are specially categorized into three sections of this volume.The soul of the meeting was Gene Golub, who rendered a charming “Golub's dimension” to the three main axes of the conference topics. This volume is dedicated in gratitude to his memory.Table of ContentsAlgebra and Matrices: Operators Preserving Primitivity for Matrix Pairs (L B Beasley & A Guterman); Determining the Schein Rank of Boolean Matrices (E Marenich); Matrix Algebras and Their Length (O Markova); Matrices and Algorithms: Some Relationships Between Optimal Preconditioner and Superoptimal Preconditioner (J-B Chen et al.); Separated Variables in Nonlinear Equation Fermi (Yu I Kuznetsov); Faster Multipoint Polynomial Evaluation (B Murphy & R E Rosholt); Matrices and Applications: Multilevel Algorithm for Graphs Partitioning (N Bochkarev et al.); Operator Equations for Eddy Currents on Singular Carriers (J Naumenko); Matrix Approach to Modeling of Polarized Radiation Transfer in Heterogeneous Systems (T Sushkevich et al.); and other papers.
£171.00
World Scientific Publishing Co Pte Ltd Birth Of Numerical Analysis, The
Book SynopsisThe 1947 paper by John von Neumann and Herman Goldstine, “Numerical Inverting of Matrices of High Order” (Bulletin of the AMS, Nov. 1947), is considered as the birth certificate of numerical analysis. Since its publication, the evolution of this domain has been enormous. This book is a unique collection of contributions by researchers who have lived through this evolution, testifying about their personal experiences and sketching the evolution of their respective subdomains since the early years.Table of ContentsComments on Multidimensional Extrapolation Quadrature (J Lyness); Some Pioneers of Extrapolation Methods (C Brezinski); On the History of Numerical Methods for Stiff Differential Equations (R Jeltsch); Numerics of Non-stiff Differential Equations (G Wanner); A Personal Perspective on the History of the Numerical Analysis of Fredholm Integral Equations of the Second Kind (K Atkinson); Building the NAG Library (B Ford); Nonnegativity Constraints in Numerical Analysis (R Plemmons); The Development of Algorithms for Nonlinear Optimization (M J D Powell); The History and Development of Numerical Analysis in Scotland: A Personal Perspective (G A Watson); My Early Experience with Scientific Computing (Ph Davis).
£85.50
World Scientific Publishing Co Pte Ltd Further Progress In Analysis - Proceedings Of The
Book SynopsisThe ISAAC (International Society for Analysis, its Applications and Computation) Congress, which has been held every second year since 1997, covers the major progress in analysis, applications and computation in recent years. In this proceedings volume, plenary lectures highlight the recent research results, while 17 sessions organized by well-known specialists reflect the state of the art of important subfields. This volume concentrates on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, inverse problems, functional differential and difference equations and integrable systems.Table of ContentsSome Interrelated Results in Different Branches of Geometry and Analysis (G A Barsegian); Recent Results on Hardy and Rellich Inequalities (W D Evans); Some Results on Nonselfadjoint Operators: A Survey (J Sjostrand); The Distribution of Primes: Conjectures vs Hitherto Provables (C Y Yildirim); On Bloch and Normal Functions on Complex Banach Manifolds (P V Dovbush); Criteria for Monogenicity of Clifford-Algebra-Valued Functions (R Abreu Blaya et al.); The Geometry of Blaschke Product Mappings (I Barza & D Ghisa); Some Problems for Elliptic Systems on the Plane (G Akhalaia et al.); Generalized Energy Conservation (B Bohme & M Reissig); Eventually Positive Solutions of Second-Order Superlinear Dynamic Equations (R Mert & A Zafer); Reproducing Kernels for Harmonic Functions on Some Balls (K Fujita); On Interpolation Properties of Generalized Besov Spaces (A Almeida); Exact Embedding Theorems for Traces and Extensions (M D Ramazanov); Cohen p-Nuclear Multilinear Mappings (D Achour); and other papers.
£243.00
World Scientific Publishing Co Pte Ltd Singular Bilinear Integrals
Book Synopsis'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.'Mathematical ReviewsThe integration of vector valued functions with respect to vector valued measures, especially spectral measures, is developed in view of applications in operator theory, scattering theory and semiclassical approximation in quantum physics. New techniques are developed for bilinear integration in cases where the classical approach does not apply.
£76.95
World Scientific Publishing Co Pte Ltd Elements Of Numerical Analysis With Mathematica
Book SynopsisHere we present numerical analysis to advanced undergraduate and master degree level grad students. This is to be done in one semester. The programming language is Mathematica. The mathematical foundation and technique is included. The emphasis is geared toward the two major developing areas of applied mathematics, mathematical finance and mathematical biology.
£26.60
World Scientific Publishing Co Pte Ltd Elements Of Numerical Analysis With Mathematica
Book SynopsisHere we present numerical analysis to advanced undergraduate and master degree level grad students. This is to be done in one semester. The programming language is Mathematica. The mathematical foundation and technique is included. The emphasis is geared toward the two major developing areas of applied mathematics, mathematical finance and mathematical biology.
£57.00
World Scientific Publishing Co Pte Ltd First Course In Partial Differential Equations, A
Book SynopsisThis textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered.This textbook includes an introduction to Fourier series and their properties, an introduction to regular Sturm-Liouville boundary value problems, special functions of mathematical physics, a treatment of nonhomogeneous equations and boundary conditions using methods such as Duhamel's principle, and an introduction to the finite difference technique for the numerical approximation of solutions. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects.The textbook includes material from which instructors could create a one- or two-semester course in PDEs. Students may also study this material in preparation for a graduate school (masters or doctoral) course in PDEs.
£108.90
World Scientific Publishing Co Pte Ltd Probability And Random Number: A First Guide To
Book SynopsisThis is a book of elementary probability theory that includes a chapter on algorithmic randomness. It rigorously presents definitions and theorems in computation theory, and explains the meanings of the theorems by comparing them with mechanisms of the computer, which is very effective in the current computer age.Random number topics have not been treated by any books on probability theory, only some books on computation theory. However, the notion of random number is necessary for understanding the essential relation between probability and randomness. The field of probability has changed very much, thus this book will make and leave a big impact even to expert probabilists.Readers from applied sciences will benefit from this book because it presents a very proper foundation of the Monte Carlo method with practical solutions, keeping the technical level no higher than 1st year university calculus.
£39.90
World Scientific Publishing Co Pte Ltd Quantized Number Theory, Fractal Strings And The
Book SynopsisStudying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This book contributes to the literature on the subject in several different and new ways. In particular, the authors provide a rigorous and detailed study of the spectral operator, a map that sends the geometry of fractal strings onto their spectrum. To that effect, they use and develop methods from fractal geometry, functional analysis, complex analysis, operator theory, partial differential equations, analytic number theory and mathematical physics.Originally, M L Lapidus and M van Frankenhuijsen 'heuristically' introduced the spectral operator in their development of the theory of fractal strings and their complex dimensions, specifically in their reinterpretation of the earlier work of M L Lapidus and H Maier on inverse spectral problems for fractal strings and the Riemann hypothesis.One of the main themes of the book is to provide a rigorous framework within which the corresponding question 'Can one hear the shape of a fractal string?' or, equivalently, 'Can one obtain information about the geometry of a fractal string, given its spectrum?' can be further reformulated in terms of the invertibility or the quasi-invertibility of the spectral operator.The infinitesimal shift of the real line is first precisely defined as a differentiation operator on a family of suitably weighted Hilbert spaces of functions on the real line and indexed by a dimensional parameter c. Then, the spectral operator is defined via the functional calculus as a function of the infinitesimal shift. In this manner, it is viewed as a natural 'quantum' analog of the Riemann zeta function. More precisely, within this framework, the spectral operator is defined as the composite map of the Riemann zeta function with the infinitesimal shift, viewed as an unbounded normal operator acting on the above Hilbert space.It is shown that the quasi-invertibility of the spectral operator is intimately connected to the existence of critical zeros of the Riemann zeta function, leading to a new spectral and operator-theoretic reformulation of the Riemann hypothesis. Accordingly, the spectral operator is quasi-invertible for all values of the dimensional parameter c in the critical interval (0,1) (other than in the midfractal case when c =1/2) if and only if the Riemann hypothesis (RH) is true. A related, but seemingly quite different, reformulation of RH, due to the second author and referred to as an 'asymmetric criterion for RH', is also discussed in some detail: namely, the spectral operator is invertible for all values of c in the left-critical interval (0,1/2) if and only if RH is true.These spectral reformulations of RH also led to the discovery of several 'mathematical phase transitions' in this context, for the shape of the spectrum, the invertibility, the boundedness or the unboundedness of the spectral operator, and occurring either in the midfractal case or in the most fractal case when the underlying fractal dimension is equal to ½ or 1, respectively. In particular, the midfractal dimension c=1/2 is playing the role of a critical parameter in quantum statistical physics and the theory of phase transitions and critical phenomena.Furthermore, the authors provide a 'quantum analog' of Voronin's classical theorem about the universality of the Riemann zeta function. Moreover, they obtain and study quantized counterparts of the Dirichlet series and of the Euler product for the Riemann zeta function, which are shown to converge (in a suitable sense) even inside the critical strip.For pedagogical reasons, most of the book is devoted to the study of the quantized Riemann zeta function. However, the results obtained in this monograph are expected to lead to a quantization of most classic arithmetic zeta functions, hence, further 'naturally quantizing' various aspects of analytic number theory and arithmetic geometry.The book should be accessible to experts and non-experts alike, including mathematics and physics graduate students and postdoctoral researchers, interested in fractal geometry, number theory, operator theory and functional analysis, differential equations, complex analysis, spectral theory, as well as mathematical and theoretical physics. Whenever necessary, suitable background about the different subjects involved is provided and the new work is placed in its proper historical context. Several appendices supplementing the main text are also included.
£121.50
World Scientific Publishing Co Pte Ltd Numerical Conformal Mapping: Domain Decomposition
Book SynopsisThis is a unique monograph on numerical conformal mapping that gives a comprehensive account of the theoretical, computational and application aspects of the problems of determining conformal modules of quadrilaterals and of mapping conformally onto a rectangle. It contains a detailed study of the theory and application of a domain decomposition method for computing the modules and associated conformal mappings of elongated quadrilaterals, of the type that occur in engineering applications.The reader will find a highly useful and up-to-date survey of available numerical methods and associated computer software for conformal mapping. The book also highlights the crucial role that function theory plays in the development of numerical conformal mapping methods, and illustrates the theoretical insight that can be gained from the results of numerical experiments.This is a valuable resource for mathematicians, who are interested in numerical conformal mapping and wish to study some of the recent developments in the subject, and for engineers and scientists who use, or would like to use, conformal transformations and wish to find out more about the capabilities of modern numerical conformal mapping.Table of ContentsStandard Conformal Mappings and Software; Conformal Modules of Quadrilaterals; Domain Decomposition for Special Quadrilaterals; Domain Decomposition for General Quadrilaterals.
£76.95
World Scientific Publishing Co Pte Ltd Some Problems On Nonlinear Hyperbolic Equations
Book SynopsisThis volume is composed of two parts: Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models and Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications. It presents recent progress and results obtained in the domains related to both subjects without attaching much importance to the details of proofs but rather to difficulties encountered, to open problems and possible ways to be exploited. It will be very useful for promoting further study on some important problems in the future.Table of ContentsMathematical and Numerical Analysis for Strongly Nonlinear Plasma Models: Open Boundary Conditions and Computational Schemes for Schrodinger Equations with General Potentials and Nonlinearities; On Hydrodynamic Models for LEO Spacecraft Charging; Asymptotic Regimes for Plasma Physics with Strong Magnetic Fields; The Zero-Electron-Mass Limit in the Hydrodynamic Model (Euler-Poisson System); Modeling and Simulation of Fluid-Particles Flows; Well-Posedness and Stability of Quantum Hydrodynamics for Semiconductors in R3; Bloch Decomposition Based Method for High Frequency Waves in Periodic Media; Some Results on the Euler-Poisson System for Plasmas and Semiconductors; Behavior of Discontinuities in Thermoelasticity with Second Sound; The Convergence of Euler-Poisson System to the Incompressible Euler Equations; On the Relaxation-Time Limits in Bipolar Hydrodynamic Models for Semiconductors; Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications: Observability in Arbitrary Small Time for Discrete Approximations of Conservative Systems; Logarithmic Decay of Hyperbolic Equations with Arbitrary Small Boundary Dampin; A Remark on the Controllability of a System of Conservation Laws in the Context of Entropy Solutions; Introduction to the Control of PDE's; Exact Controllability and Exact Observability for Quasilinear Hyperbolic Systems: Known Results and Open Problems; Waves, Damped Wave and Observation; Control Problems for Fluid Equations; Global Existence of Adegenerate Kirchho(R) System with Boundary Dissipation; Remarks on the Controllability of Some Quasilinear Equation.
£130.50
World Scientific Publishing Co Pte Ltd Finite Element Method, The: Its Fundamentals And
Book SynopsisThis Finite Element Method offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering. Every concept is introduced in the simplest possible setting, while maintaining a level of treatment that is as rigorous as possible without being unnecessarily abstract. Various finite elements in one, two, and three space dimensions are introduced, and their applications to elliptic, parabolic, hyperbolic, and nonlinear equations and to solid mechanics, fluid mechanics, and porous media flow problems are addressed. The variants include the control volume, multipoint flux approximation, nonconforming, mixed, discontinuous, characteristic, adaptive, and multiscale finite element methods. Illustrative computer programs in Fortran and C++ are described. An extensive set of exercises are provided in each chapter. This book serves as a text a for one-semester course for upper-level undergraduates and beginning graduate students and as a professional reference for engineers, mathematicians, and scientists.Table of ContentsOne-Dimensional Model Problems; Two-Dimensional Model Problems; General Variational Formulation; One-Dimensional Elements and Their Properties; Two-Dimensional Elements and Their Properties; Three-Dimensional Elements and Their Properties; Finite Elements for Transient and Nonlinear Problems; Application to Solid Mechanics; Application to Fluid Mechanics; Application to Porous Media Flow; Other Finite Element Methods.
£67.50
World Scientific Publishing Co Pte Ltd Finite Element Method, The: Its Fundamentals And
Book SynopsisThis Finite Element Method offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering. Every concept is introduced in the simplest possible setting, while maintaining a level of treatment that is as rigorous as possible without being unnecessarily abstract. Various finite elements in one, two, and three space dimensions are introduced, and their applications to elliptic, parabolic, hyperbolic, and nonlinear equations and to solid mechanics, fluid mechanics, and porous media flow problems are addressed. The variants include the control volume, multipoint flux approximation, nonconforming, mixed, discontinuous, characteristic, adaptive, and multiscale finite element methods. Illustrative computer programs in Fortran and C++ are described. An extensive set of exercises are provided in each chapter. This book serves as a text a for one-semester course for upper-level undergraduates and beginning graduate students and as a professional reference for engineers, mathematicians, and scientists.Table of ContentsOne-Dimensional Model Problems; Two-Dimensional Model Problems; General Variational Formulation; One-Dimensional Elements and Their Properties; Two-Dimensional Elements and Their Properties; Three-Dimensional Elements and Their Properties; Finite Elements for Transient and Nonlinear Problems; Application to Solid Mechanics; Application to Fluid Mechanics; Application to Porous Media Flow; Other Finite Element Methods.
£31.35
