Numerical analysis Books
World Scientific Publishing Co Pte Ltd Antieigenvalue Analysis: With Applications To
Book SynopsisKarl Gustafson is the creator of the theory of antieigenvalue analysis. Its applications spread through fields as diverse as numerical analysis, wavelets, statistics, quantum mechanics, and finance.Antieigenvalue analysis, with its operator trigonometry, is a unifying language which enables new and deeper geometrical understanding of essentially every result in operator theory and matrix theory, together with their applications. This book will open up its methods to a wide range of specialists.Table of ContentsThe Essentials of Antieigenvalue Theory; Convexity in Norm Geometry; The Min-Max Theorem; The Euler Equation; Higher Antieigenvalues; Applications in Numerical Analysis; Applications in Wavelets, Control, and Scattering; The Trigonometry of Matrix Statistics; Bell's Inequalities, Penrose Twistors, and Quantum Trigonometry; Trigonometry of Financial Instruments.
£75.05
World Scientific Publishing Co Pte Ltd Fitted Numerical Methods For Singular
Book SynopsisSince the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global errors in the numerical approximations are measured in the pointwise maximum norm. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these numerical methods work is far from simple. This book can be used as an introductory text to the theory underpinning fitted mesh methods.Table of ContentsMotivation for the Study of Singular Perturbation Problems; Simple Examples of Singular Perturbation Problems; Numerical Methods for Singular Perturbation Problems; Fitted Operator Methods; Simple Fitted Mesh Methods in One Dimension; Fitted Mesh Methods for Reaction-Diffusion Problems; Properties of Upwind Operators on Piecewise Uniform Meshes; Fitted Mesh Methods for Convection-Diffusion Problems; Fitted Element Methods for Convection-Diffusion Problems; Schwarz Iterative Methods in One Dimension; Convection-Diffusion Problems in Two Dimensions; Bounds on Derivatives of Solutions of Convection-Diffusion Problems; Convergence of Fitted Mesh Methods in Two Dimensions; Limitations of Fitted Operators for Parabolic Boundary Layers; Initial and Parabolic Boundary Layers.
£71.25
World Scientific Publishing Co Pte Ltd Guide To Pamir, The: Theory And Use Of
Book SynopsisPAMIR (Parameterized Adaptive Multidimensional Integration Routines) is a suite of Fortran programs for multidimensional numerical integration over hypercubes, simplexes, and hyper-rectangles in general dimension p, intended for use by physicists, applied mathematicians, computer scientists, and engineers. The programs, which are available on the internet at www.pamir-integrate.com and are free for non-profit research use, are capable of following localized peaks and valleys of the integrand. Each program comes with a Message-Passing Interface (MPI) parallel version for cluster use as well as serial versions.The first chapter presents introductory material, similar to that on the PAMIR website, and the next is a “manual” giving much more detail on the use of the programs than is on the website. They are followed by many examples of performance benchmarks and comparisons with other programs, and a discussion of the computational integration aspects of PAMIR, in comparison with other methods in the literature. The final chapter provides details of the construction of the algorithms, while the Appendices give technical details and certain mathematical derivations.Table of ContentsIntroduction; Using PAMIR; Benchmark Examples and Comparisons; Computational Integration Theory and PAMIR; Details of Construction of the PAMIR Algorithms and Programs; Appendices: Test Integrals; Derivation of the Simplex Generating Function; Derivation of the Hypercube Generating Function; Mappings Between Base Regions; Rule for Determining Where a Point Lies with Respect to a Simplex; Expansion for ∑4; Fourth Order Simplex Formula; Ninth Order Simplex Formula; Ninth Order Hypercube Formula.
£45.60
World Scientific Publishing Co Pte Ltd Guide To Pamir, The: Theory And Use Of
Book SynopsisPAMIR (Parameterized Adaptive Multidimensional Integration Routines) is a suite of Fortran programs for multidimensional numerical integration over hypercubes, simplexes, and hyper-rectangles in general dimension p, intended for use by physicists, applied mathematicians, computer scientists, and engineers. The programs, which are available on the internet at www.pamir-integrate.com and are free for non-profit research use, are capable of following localized peaks and valleys of the integrand. Each program comes with a Message-Passing Interface (MPI) parallel version for cluster use as well as serial versions.The first chapter presents introductory material, similar to that on the PAMIR website, and the next is a “manual” giving much more detail on the use of the programs than is on the website. They are followed by many examples of performance benchmarks and comparisons with other programs, and a discussion of the computational integration aspects of PAMIR, in comparison with other methods in the literature. The final chapter provides details of the construction of the algorithms, while the Appendices give technical details and certain mathematical derivations.Table of ContentsIntroduction; Using PAMIR; Benchmark Examples and Comparisons; Computational Integration Theory and PAMIR; Details of Construction of the PAMIR Algorithms and Programs; Appendices: Test Integrals; Derivation of the Simplex Generating Function; Derivation of the Hypercube Generating Function; Mappings Between Base Regions; Rule for Determining Where a Point Lies with Respect to a Simplex; Expansion for ∑4; Fourth Order Simplex Formula; Ninth Order Simplex Formula; Ninth Order Hypercube Formula.
£21.85
World Scientific Publishing Co Pte Ltd Scientific Programming: C-language, Algorithms
Book SynopsisThe book teaches a student to model a scientific problem and write a computer program in C language to solve that problem. To do that, the book first introduces the student to the basics of C language, dealing with all syntactical aspects, but without the pedantic content of a typical programming language manual. Then the book describes and discusses many algorithms commonly used in scientific applications (e.g. searching, graphs, statistics, equation solving, Monte Carlo methods etc.).This important book fills a gap in current available bibliography. There are many manuals for programming in C, but they never explain programming technicalities to solve a given problem. This book illustrates many relevant algorithms and shows how to translate them in a working computer program.Table of ContentsNumbers and Non-Numbers; Programming Languages; Basic Elements in C Programs; Logic Elements; Basic Data Structures; Pointers; Functions; Numeric Interpolation and Integration; Differential Equations Integration; More on Differential Equations; Pseudo Random Numbers; Random Walks; Lists, Dictionaries and Percolation; Bits and Boolean Variables; Recursion and Data Sorting; Dynamic Data Structures; Graphs and Algorithms on Graphs; Optimization Methods; Monte Carlo Methods; Stochastic Methods.
£207.00
World Scientific Publishing Co Pte Ltd Dirichlet-dirichlet Domain Decomposition Methods
Book SynopsisDomain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems of algebraic equations arising from the discretization of partial differential equations. These methods are well-established and belong to a fast developing area. In this volume, the reader will find a brief historical overview, the basic results of the general theory of domain and space decomposition methods as well as the description and analysis of practical DD algorithms for parallel computing. It is typical to find in this volume that most of the presented DD solvers belong to the family of fast algorithms, where each component is efficient with respect to the arithmetical work. Readers will discover new analysis results for both the well-known basic DD solvers and some DD methods recently devised by the authors, e.g., for elliptic problems with varying chaotically piecewise constant orthotropism without restrictions on the finite aspect ratios.The hp finite element discretizations, in particular, by spectral elements of elliptic equations are given significant attention in current research and applications. This volume is the first to feature all components of Dirichlet-Dirichlet-type DD solvers for hp discretizations devised as numerical procedures which result in DD solvers that are almost optimal with respect to the computational work. The most important DD solvers are presented in the matrix/vector form algorithms that are convenient for practical use.Table of ContentsFundamentals of the Schwarz Methods; Overlapping Domain Decomposition Methods; Nonoverlapping DD Methods for h FE Discretizations in 2d; BPS-type DD Preconditioners for 3d Elliptic Problems; DD Algorithms for Discretizations with Orthotropism; Nonoverlapping DD Methods for hp Discretizations of 2d Elliptic Equations; Fast Dirichlet Solvers for 2d Reference Elements; Nonoverlapping Dirichlet - Dirichlet Methods for hp Discretizations of 3d Elliptic Equations.
£139.50
World Scientific Publishing Co Pte Ltd Introduction To Computational Mathematics (2nd
Book SynopsisThis unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and/or reference book.
£85.50
World Scientific Publishing Co Pte Ltd Introduction To Computational Mathematics (2nd
Book SynopsisThis unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and/or reference book.
£51.30
World Scientific Publishing Co Pte Ltd Matrix Functions And Matrix Equations
Book SynopsisMatrix functions and matrix equations are widely used in science, engineering and social sciences due to the succinct and insightful way in which they allow problems to be formulated and solutions to be expressed. This book covers materials relevant to advanced undergraduate and graduate courses in numerical linear algebra and scientific computing. It is also well-suited for self-study. The broad content makes it convenient as a general reference to the subjects.
£71.25
World Scientific Publishing Co Pte Ltd Classical Orthogonal Polynomials, The
Book SynopsisThis book defines sets of orthogonal polynomials and derives a number of properties satisfied by any such set. It continues by describing the classical orthogonal polynomials and the additional properties they have.The first chapter defines the orthogonality condition for two functions. It then gives an iterative process to produce a set of polynomials which are orthogonal to one another and then describes a number of properties satisfied by any set of orthogonal polynomials. The classical orthogonal polynomials arise when the weight function in the orthogonality condition has a particular form. These polynomials have a further set of properties and in particular satisfy a second order differential equation.Each subsequent chapter investigates the properties of a particular polynomial set starting from its differential equation.
£71.25
World Scientific Publishing Co Pte Ltd Numerical Differential Equations: Theory And
Book SynopsisThis text presents numerical differential equations to graduate (doctoral) students. It includes the three standard approaches to numerical PDE, FDM, FEM and CM, and the two most common time stepping techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting theory.The applied techniques include those that arise in the present literature. The supporting mathematical theory includes the general convergence theory. This material should be readily accessible to students with basic knowledge of mathematical analysis, Lebesgue measure and the basics of Hilbert spaces and Banach spaces. Nevertheless, we have made the book free standing in most respects. Most importantly, the terminology is introduced, explained and developed as needed.The examples presented are taken from multiple vital application areas including finance, aerospace, mathematical biology and fluid mechanics. The text may be used as the basis for several distinct lecture courses or as a reference. For instance, this text will support a general applications course or an FEM course with theory and applications. The presentation of material is empirically-based as more and more is demanded of the reader as we progress through the material. By the end of the text, the level of detail is reminiscent of journal articles. Indeed, it is our intention that this material be used to launch a research career in numerical PDE.Table of ContentsODE, Population Models, Runge-Kutta; FDM: Parabolic PDE; Hyperbolic PDE; Stability; Neumann Stability; Lax Equivalence; Elliptical PDE; Extended Difference Formulations; FEM: Laplace Equation; Helmholtz Equation; Cell Chemotaxis; Navier-Stokes Equation; Stokes Equation; Basic FEM Models; Sobolev Spaces; Density Theorems; Traces; Sobolev Imbedding; Lax-Milgram Theorem; Piecewise Polynomial Interpolation; Convergence For Uniformly Elliptical PDE; CM: Black-Scholes Equation; Diffusion-Reaction Equation; OCE Collocation; Spectral Collocation; Convergence;
£108.00
World Scientific Publishing Co Pte Ltd Algorithms: Design Techniques And Analysis
Book SynopsisProblem solving is an essential part of every scientific discipline. It has two components: (1) problem identification and formulation, and (2) the solution to the formulated problem. One can solve a problem on its own using ad hoc techniques or by following techniques that have produced efficient solutions to similar problems. This requires the understanding of various algorithm design techniques, how and when to use them to formulate solutions, and the context appropriate for each of them.Algorithms: Design Techniques and Analysis advocates the study of algorithm design by presenting the most useful techniques and illustrating them with numerous examples — emphasizing on design techniques in problem solving rather than algorithms topics like searching and sorting. Algorithmic analysis in connection with example algorithms are explored in detail. Each technique or strategy is covered in its own chapter through numerous examples of problems and their algorithms.Readers will be equipped with problem solving tools needed in advanced courses or research in science and engineering.
£162.00
World Scientific Publishing Co Pte Ltd Discrete Fourier And Wavelet Transforms: An
Book SynopsisThis textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.
£76.95
World Scientific Publishing Co Pte Ltd Discrete Fourier And Wavelet Transforms: An
Book SynopsisThis textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.
£38.00
World Scientific Publishing Co Pte Ltd Introduction To Numerical Computation, An
Book SynopsisDeveloped during ten years of teaching experience, this book serves as a set of lecture notes for an introductory course on numerical computation, at the senior undergraduate level. These notes contain the material that can be covered in a semester, together with a few optional sections for additional reading. Rather than surveying a large number of algorithms, the book presents the most important computational methods and emphasizes the underlying mathematical ideas. In most chapters, graphs and drawings are relied on, to build up intuition. The notes are written in a rather colloquial style, presenting the subject matter in the same form as it can be explained in a classroom. For instructors, this will minimize the amount of effort required to prepare their blackboard presentations.As prerequisites, the book only relies on standard calculus, an introductory course on matrices, and some basic computer programming skills. As a new feature, these notes are supplemented by two sets of videos from the author's Youtube channel. These videos contain a complete set of live lectures given in Spring 2015, together with a complete set of short tutorials, from 5 to 15 minutes each.A set of homework problems is included at the end of each chapter. Homework projects cover a variety of applications, in connection with population dynamics, engineering, mechanics, image reconstruction, etc. A complete set of solutions is available for instructors, upon request.Table of ContentsComputer Arithmetic; Polynomial Interpolation; Piecewise Polynomial Interpolation: Splines; Numerical Integration; Numerical Solution of Nonlinear Equations; Direct Methods for Systems of Linear Equations; Fixed Point Iterative Solvers for Linear Systems; The Method of Least Squares; Numerical Methods for ODEs; Two-Point Boundary Value Problems; FDM for Partial Differential Equations;
£48.45
Springer Nature Singapore Efficient Online Learning Algorithms for Total
Book SynopsisThis book reports the developments of the Total Least Square (TLS) algorithms for parameter estimation and adaptive filtering. Specifically, it introduces the authors' latest achievements in the past 20 years, including the recursive TLS algorithms, the approximate inverse power iteration TLS algorithm, the neural based MCA algorithm, the neural based SVD algorithm, the neural based TLS algorithm, the TLS algorithms under non-Gaussian noises, performance analysis methods of TLS algorithms, etc. In order to faster the understanding and mastering of the new methods provided in this book for readers, before presenting each new method in each chapter, a specialized section is provided to review the closely related several basis models. Throughout the book, large of procedure of new methods are provided, and all new algorithms or methods proposed by us are tested and verified by numerical simulations or actual engineering applications. Readers will find illustrative demonstration examples on a range of industrial processes to study. Readers will find out the present deficiency and recent developments of the TLS parameter estimation fields, and learn from the the authors' latest achievements or new methods around the practical industrial needs. In my opinion, this book can be assimilated by advanced undergraduates and graduate students, as well as statisticians, because of the new tools in data analysis, applied mathematics experts, because of the novel theories and techniques that we propose, engineers, above all for the applications in control, system identification, computer vision, and signal processing.
£107.99
World Scientific Publishing Co Pte Ltd Advanced Mathematical And Computational Tools In
Book Synopsis
£112.50
Springer Verlag, Singapore Mathematics and Computation: IACMC 2022, Zarqa,
Book SynopsisThis book collects select papers presented at the 7th International Arab Conference on Mathematics and Computations (IACMC 2022), held from 11–13 May 2022, at Zarqa University, Zarqa, Jordan. These papers discuss a new direction for mathematical sciences. Researchers, professionals and educators will be exposed to research results contributed by worldwide scholars in fundamental and advanced interdisciplinary mathematical research such as differential equations, dynamical systems, matrix analysis, numerical methods and mathematical modelling. The vision of this book is to establish prototypes in completed, current and future mathematical and applied sciences research from advanced and developing countries. The book is intended to make an intellectual contribution to the theory and practice of mathematics. This proceedings would connect scientists in this part of the world to the international level.Table of ContentsA. S. Salama and R. Abu Gdair: Generalized Neighborhood Systems Approach for Information Retrieval Systems.- Emad A. Kuffi, E. S. Abbas and S. F. Maktoof: Applying “Emad–Sara” Transform on Partial Differential Equations.- A. Al-Swaftah, A. Burqan and M. Khandaqji: Estimations of the Bounds for the Zeros of Polynomials Using Matrices.- B. Ghazal, R. Saadeh and G. Gharib: Applications on Formable Transform in Solving Integral Equations.- O. Tug: On the Eigenvalue of a Norlund Type Matrix as an Operator on the Sequence Spaces L1 and bv.- N. Tahat, Obaida M. Al-hazaimeh and S. Shatnawi: A New Authentication Scheme Based on Chaotic Maps and Factoring Problems.- R. B. Albadarneh, A. M. Adawi, Sa'ud Al-Sa'di, I. M. Batiha and S. Momani: A pro rata Definition of the Fractional-order Derivative.- S. Ibrahim, M. Muhammed Al-Kassab and M. Qasim Al-Awjar: Investigating Multicollinearity in Factors Affecting Number of Born Children in Iraq.- T. Alkharabsheh, K. shebrawi and M. Abu-sSaleem: Hilbert–Schmidt Numerical Radius Inequalities For Certain 2 x 2 Operator Matrices.- Y. A. Sabawi, Mardan A. Pirdawood, Hemn M. Rasool and S. Ibrahim: Model Reduction and Implicit–Explicit Runge–Kutta Schemes for Nonlinear Stiff Initial-value Problems.- G. M. Gharib, Maha S. Alsauodi, A. Guiatni, Mohammad A. Al-Omari and A. Al-Rahman M. Malkawi: Using Atomic Solution Method to Solve the Fractional Equations.- S. Ramadan: Analysis in the Algebra A(E).- S. rasem, A. Dababneh and Ma’mon Abu Hammad: Applications of Conformable Fractional Weibull Distribution.- O. Ramadan: Stable Second-order Explicit Runge–Kutta Finite Difference Time Domain Formulations for Modeling Graphene Nano-material Structures.- Ali Shehab, Ahmed M. R. El-Baz and A. M. Elmarhomy: Hydrodynamic Analysis and CFD Modeling of PAWEC Interacted with Regular Waves Using CFX.- M. Muhammed Al-Kassab and S. Ibrahim: Using Ridge Regression to Estimate Factors Affecting the Number of Births: A Comparative Study.- T. Hamadneh, J. Merker and G. Schuldt: Discrete Maximum Principle and Positivity Certificates for the Bernstein Dual Petrov–Galerkin Method.- A. Burqan, A. Sarhan and R. Saadez: Analytical Solutions of the Fractional Riccati Differential Equations Using Laplace Residual Power Series Method.- D. Andrica and O. Bagdasa: On the Dynamic Geometry of Kasner Triangles with Complex Parameter.- D. Amr and Ma’mon Abu Hammad: Application of Conformable Fractional Nakagami Distribution.- Rawya Al-deiakeh, Maha S. Alsauodi, S. Momani, Gharib M. Gharib and T. B. Salameh: Application of Laplace Residual Series Method for Solving Time-fractional Fisher Equation.- M. Hassen Eid Abu-Sei'leek: Self-consistent Single-particle Spectra with Delta Excitations.- I. M. Batiha, N. Djenina, A. Ouannas and T. E. Oussaeif: Fractional-order SEIR Covid-19 Model: Discretization and Stability Analysis.- A. Alsoboh and M. Darus: A q-Starlike Class of Harmonic Meromorphic Functions Defined by q-Derivative Operator.- J. Oudetallah, Z. Chebana, Taki-Eddine Oussaeif, A. Ouannas and I. M. Batiha: Theoretical Study of Explosion Phenomena for a Semi-parabolic Problem.- L. Szala: Explicit Formulae of Linear Recurrences.- R. Abu Sallik, J. Al Jaraden: The Influence of S-quasinormal Subgroups on the Structure of Finite Groups.- S. J. Ansari and V. R. Lakshmi Gorty: Two-sided Clifford Wavelet Function in Cl(p, q).- L. Nemeth and L. Szalay: Generalizations of the Fibonacci Sequence with Zig-zag Walks.- D. Wafula Waswa and M. Muhammed Al-Kassab: Mathematics Learning Challenges and Difficulties: A Students’ Perspective.- V.R. Ibrahimov, G.Yu. Mehdiyeva, Xiao-Guang Yue and M.N. Imanova: Finding Solution to the Initial Value Problem for ODEs First and Second Order by One and the Same Method.- Doaa Al-Saan: On Symmetric Matrices with One Positive Eigenvalue and the Interval Property of Some Matrix Classes.- N. Anakira, A. Hioual, A. Ouannas, Taki-Eddine Oussaeif and Iqbal M. Batiha: Global Asymptotic Stability for Discrete-time SEI Reaction-diffusion Model.- G. Eid, I. Jebril, Ma’mon Abu Hammad and D. AbuJudeh: Atomic Solution of Euler Equation.- Worood A. AL-hakim, Maha S. Alsauodi, Gharib M. Gharib, Fatima Alqasem and May Abu Jalbosh: Solving Nonlinear Fractional Coupled Burgers Equation by Sub-equation Method.- S. M. Alshorm: Groups in which the Commutator Subgroup is Cyclic.- M. A. Amleh: On Point Prediction of New Lifetimes under a Simple Step-stress Model for Censored Lomax Data.- Tareq M. Al-shami and Radwan Abu-Gdairi: Infra Soft B-open Sets and Their Applications on Infra Soft Topological Spaces.- Raed M. Khalil: An Algorithm of the Prey and Predator Struggle to Survive as a Random Walk Simulation Case Study.- W. Beghami, B. Maayah and S. Bushnaq: Numerical Study of a Nonlinear Fractional Mathematical Model of the Tumor Cells Chemotherapy Effect.- O. Ababneh and K. Al-Boureeny: New Modification Methods for Finding Zeros of Nonlinear Function.- Ioan-Lucian Popa, T. Ceausu, L. Elena Biris and A. Zada: On Tempered Exponential Trisplitting for Random Semi-Dynamical Systems.- H. El-Metwally, F. M. Masood, R. Abu-Gdairi and Tareq M. Al-shami: On q-Laplace Transforms.- N. R. Anakira, G.F. Bani-Hani and O. Ababneh: An Effective Procedure for Solving Linear and Non-linear Volterra Integro-differential Equations.- S. Alkhalely, A. Burqan and M. Muhammed Al-Kassab: New Estimations for Zeros of Polynomials Using Numerical Radius and Similarity of Matrices.- J. Jawdat: Strong Coproximinal Subspaces in Köthe Function Spaces.- E. Savas: A New Paranormed Sequence Spaces and Invariant Means.
£125.99
Springer Verlag, Singapore Space–Time Conservation Element and Solution Element Method: Advances and Applications in Engineering Sciences
Book SynopsisThis open access book introduces the fundamentals of the space–time conservation element and solution element (CESE) method, which is a novel numerical approach for solving equations of physical conservation laws. It highlights the recent progress to establish various improved CESE schemes and its engineering applications. With attractive accuracy, efficiency, and robustness, the CESE method is particularly suitable for solving time-dependent nonlinear hyperbolic systems involving dynamical evolutions of waves and discontinuities. Therefore, it has been applied to a wide spectrum of problems, e.g., aerodynamics, aeroacoustics, magnetohydrodynamics, multi-material flows, and detonations. This book contains algorithm analysis, numerical examples, as well as demonstration codes. This book is intended for graduate students and researchers who are interested in the fields such as computational fluid dynamics (CFD), mechanical engineering, and numerical computation.Table of ContentsIntroduction.- Non-dissipative Core Scheme of CESE Method.- CESE Schemes with Numerical Dissipation.- Multi-Dimensional CESE Schemes on Cartesian Meshes.- CESE Schemes on Unstructured Meshes.- High-Order CESE Schemes.- Numerical Features of CESE Schemes.- Application: Hypersonic Aerodynamics.- Application: Compressible Multi-Fluid.- Other Applications.- Summary.
£38.84
Springer Verlag, Singapore Space–Time Conservation Element and Solution
Book SynopsisThis open access book introduces the fundamentals of the space–time conservation element and solution element (CESE) method, which is a novel numerical approach for solving equations of physical conservation laws. It highlights the recent progress to establish various improved CESE schemes and its engineering applications. With attractive accuracy, efficiency, and robustness, the CESE method is particularly suitable for solving time-dependent nonlinear hyperbolic systems involving dynamical evolutions of waves and discontinuities. Therefore, it has been applied to a wide spectrum of problems, e.g., aerodynamics, aeroacoustics, magnetohydrodynamics, multi-material flows, and detonations. This book contains algorithm analysis, numerical examples, as well as demonstration codes. This book is intended for graduate students and researchers who are interested in the fields such as computational fluid dynamics (CFD), mechanical engineering, and numerical computation.Table of ContentsIntroduction.- Non-dissipative Core Scheme of CESE Method.- CESE Schemes with Numerical Dissipation.- Multi-Dimensional CESE Schemes on Cartesian Meshes.- CESE Schemes on Unstructured Meshes.- High-Order CESE Schemes.- Numerical Features of CESE Schemes.- Application: Hypersonic Aerodynamics.- Application: Compressible Multi-Fluid.- Other Applications.- Summary.
£30.66
