Mathematical modelling Books
Springer New York Statistical Methods for the Analysis of Repeated Measurements Springer Texts in Statistics
Book SynopsisA comprehensive introduction to a wide variety of statistical methods for the analysis of repeated measurements. It is designed to be both a useful reference for practitioners and a textbook for a graduate-level course focused on methods for the analysis of repeated measurements.Trade ReviewFrom the reviews: MATHEMATICAL REVIEWS "…the book covers a wide range of topics, including inference based on normal theory, repeated categorical outcomes and missing values. The book is based on lecture notes used by the author since 1991. Hence, the material and the structure of the book have been well tested by different audiences. Another feature of the book is the inclusion of a very rich collection of problems with excellent real data. Thus, it is a nice textbook for a semester course on repeated measurements and longitudinal data." SHORT BOOK REVIEW "Each major topic is introduced logically; background theory is clearly elucidated, and at least one example is carefully worked in detail. The use of eighty real sets of data, given in full, is a most attractive feature. Attention is concentrated on those techniques that are most readily available in software. ... This should prove to be a very useful text for teacher, student and practitioner alike." JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION "Most other books on repeated measurements tend to focus on specialized topics. In my opinion, [this] book is the most comprehensive and readable of the lot. I would highly recommend its use as a text for a semester-length graduate course for biostatistics and statistics students and also as resource book for consulting biostatisticians and statisticians. In addition, this book would be a valuable resource for students from other fields of study (e.g., the health sciences) who have a statistical aptitude. The book is definitely worth the price." "The intention of the book is ‘to provide a reasonably comprehensive overview of methods for the analysis of repeated measurements’ with focus on standard statistical methods … . In my opinion the book gives a nice, comprehensive overview of methods for the analysis of repeated measurements. … The availability of data sets, overheads, etc. is a very valuable supplement for both teachers and students. … The book … could be a natural choice for a course in repeated measurements for graduate students in (bio-) statistics." (Niels Trolle Andersen, Statistics in Medicine, Vol. 24 (5), 2005) "This book is a very interesting and comprehensive summary of a wide selection of statistical methods for the analysis of repeated measurements. It is indeed an ideal and carefully written text to be used as a reference guide for practitioners and, in addition, as a great, up to date and very complete textbook for a graduate-level course in Statistics and/or Biostatistics. … I highly recommend Statistical Methods … as a good reference book for anyone interested in looking into the different available methodologies … ." (Vicente Núñez-Antón, Journal of Applied Statistics, Vol. 30 (10), December, 2003) "This book provides a comprehensive introduction to a wide variety of statistical methods for the analysis of repeated measurements. … In conclusion, as a course text on repeated measurements this book clearly has major strengths over others in that it provides coverage on a wide range of topics and provides extensive further reading material. … I would recommend this text as a general reference book on repeated measurements which would make a worthwhile addition to a departmental library." (Fiona Holland, Pharmaceutical Statistics, 2003) "Most other books on repeated measurements … tend to focus on specialized topics. In my opinion, Statistical Methods for the Analysis of Repeated Measurements book is the most comprehensive and readable of the lot. I would highly recommend its use as a text for a semester-length graduate course for biostatistics and statistics students and … for consulting biostatisticians and statisticians. … a valuable resource for students from other fields of study … who have a statistical aptitude. The book is definitely worth the price." (Melvin L. Moeschberger, Journal of the American Statistical Association, March, 2003) "The book aims at describing, discussing and demonstrating a variety of statistical methods for the analysis of repeated measurements … . the book covers a very wide range of topics, including inference based on normal theory, repeated categorical outcomes and missing values. … Another feature of the book is the inclusion of a very rich collection of problems with excellent real data. Thus, it is a nice textbook for a semester course on repeated measurements and longitudinal data." (Jack C. Lee, Mathematical Reviews, 2003 e) "This book is intended to provide a comprehensive introduction to a wide range of statistical methods for the analysis of repeated measurements. … For use in a course, I would use it for an applied graduate-level statistics course on linear models for analysis of repeated measurements. This text is useful not only with regards to the statistical methods, but also for the real data examples that can be explored with the various models and methods under study." (James R. Kenyon, Technometrics, Vol. 45 (1), 2003) "This book provides a reasonably comprehensive overview of a wide variety of statistical methods for the analysis of repeated measurements … . The important features of this book include a summary of both classical and recent methods for continuous and categorical outcome variables, numerous homework problems, and the extensive use of real data sets in examples. … This book will be of interest to graduate students in statistics and biostatistics as well as to practicing statisticians in academic, industry and research institutions.” (Ivan Krivý, Zentralblatt MATH, Vol. 985, 2002)Table of ContentsIntroduction * Univariate Methods * Normal-Theory Methods: Unstructured Multivariate Approach * Normal Theory Methods: Multivariate Analysis of Variance * Normal-Theory Methods: Repeated Measures ANOVA * Normal Theory Methods: Linear Mixed Models * Weighted Least Squares Analysis of Repeated Categorical Outcomes * Randomization Model Methods for One-Sample Repeated Measurements * Methods Based on Extensions of Generalized Linear Models * Nonparametric Methods
£44.99
Springer Cost Analysis and Estimating
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£44.99
Springer InputOutput Analysis Current Developments International Studies in Economic Modelling
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£197.99
Springer Modelling the Structure of the Economy International Studies in Economic Modelling
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£152.05
Wiley Empirical Model Building
Book SynopsisPraise for the First Edition This...novel and highly stimulating book, which emphasizes solving real problems...should be widely read. It will have a positive and lasting effect on the teaching of modeling and statistics in general. - Short Book Reviews This new edition features developments and real-world examples that showcase essential empirical modeling techniques Successful empirical model building is founded on the relationship between data and approximate representations of the real systems that generated that data. As a result, it is essential for researchers who construct these models to possess the special skills and techniques for producing results that are insightful, reliable, and useful. Empirical Model Building: Data, Models, and Reality, Second Edition presents a hands-on approach to the basic principles of empirical model building through a shrewd mixture of differential equations, computer-intensive methods, and data. The Trade Review“It is also an excellent reference for applied statisticians and researchers who carry out quantitative modeling in their everyday work.” (Mathematical Reviews, 2012) "Empirical Model Building, Second Edition is an excellent reference for applied statisticians and researchers who carry out quantitative modeling in their everyday work." (TMCnet.com, 18 January 2012) Table of ContentsPreface. 1.Models of Growth and Decay. 2. Models of Competition, Survival, and Combat. 3. Epidemics. 4. Bootstrapping. 5. Monte-Carlo Solution of Differential Equations. 6. SIMEST, SMIDAT, and Psuedoreality. 7. Exploratory Data Analysis. 8. Noise Killing Chaos. 9. Bayesian Approaches. 10. Multivariate and Robust Procedures in Statistical Process Control. 11. Optimization and Estimation in the Real (Noisy) World. 12. Utility and Group Preference. 13. A Primer in Sampling. 14. Stock Market: Strategies Based on Data versus Strategies Based on Ideology. Appendix A. A Brief Introduction to Probability and Statistics. Appendix B. Statistical Tables.
£120.60
Springer Homogenisation Averaging Processes in Periodic Media Mathematical Problems in the Mechanics of Composite Materials 36 Mathematics and its Applications
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£85.49
Springer Theory of Fluid Flows Through Natural Rocks 3 Theory and Applications of Transport in Porous Media
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£170.99
Springer The RAINS Model of Acidification Science and Strategies in Europe Nonlinear Topices in the Mathematical
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£85.49
Springer Nematics Mathematical and Physical Aspects 332 Nato Science Series C
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£170.99
Springer Instabilities and Nonequilibrium Structures III Workshop Proceedings 64 Mathematics and Its Applications
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£44.99
Springer Mathematical Models in Electrical Circuits Theory and Applications 66 Mathematics and Its Applications
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£44.99
Springer Interactive Dynamics of Convection and Solidification Proceedings of the NATO Advanced Study Institute Chamonix France March 813 1992 219 Nato Science Series E
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£170.99
Springer Wave Kinematics and Environmental Forces Papers presented at a conference organized by the Society for Underwater Technology and held in London Ocean Science and Offshore Engineering
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£123.49
Springer Difference Equations and Their Applications 250 Mathematics and Its Applications
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£85.49
Springer Advances in Turbulence IV Proceedings of the fourth European Turbulence Conference 30th June 3rd July 1992 18 Fluid Mechanics and Its Applications
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£237.49
Springer Predictability and Nonlinear Modelling in Natural Sciences and Economics
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£83.25
Springer Advances in Robot Kinematics and Computational Geometry
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£313.49
Springer Inverse Problems in Groundwater Modeling 6 Theory and Applications of Transport in Porous Media
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£189.99
Springer Adjoint Equations and Analysis of Complex Systems 295 Mathematics and Its Applications
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£85.49
Springer Flash Reaction Processes Proceedings of the NATO Advanced Research Workshop Istanbul Turkey May 68 1994 282 Nato Science Series E
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£170.99
Springer Numerical Simulation of Viscous Shock Layer Flows 33 Fluid Mechanics and Its Applications
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£170.99
Springer Global Optimization in Action Continuous and Lipschitz Optimization Algorithms Implementations and Applications 6 Nonconvex Optimization and Its Applications
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£123.49
Springer Probability Theory Random Processes and Mathematical Statistics 344 Mathematics and Its Applications
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£44.99
Springer Lifetime Data Models in Reliability and Survival Analysis
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£123.49
Springer Moving Loads on Ice Plates 45 Solid Mechanics and Its Applications
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£123.49
Springer Distributed Hydrological Modelling 22 Water Science and Technology Library
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£152.05
Springer Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications 1 Mathematical Modelling Theory and Applications
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£151.99
Springer The Eastern Mediterranean as a Laboratory Basin for the Assessment of Contrasting Ecosystems 51 Nato Science Partnership Subseries 2
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£85.49
Springer The Eastern Mediterranean as a Laboratory Basin for the Assessment of Contrasting Ecosystems
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£85.49
Springer Nonlinear System Identification InputOutput Modeling Approach
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£85.49
Springer Applied and Industrial Mathematics Venice2 1998 Selected Papers from the Venice2Symposium on Applied and Industrial Mathematics June 1116 1998 Venice Italy
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£85.49
Springer Macroscale Models of Flow Through Highly Heterogeneous Porous Media 16 Theory and Applications of Transport in Porous Media
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£123.49
Springer Analysis and Control of AgeDependent Population Dynamics 11 Mathematical Modelling Theory and Applications
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£85.49
Springer Quality Improvement with Design of Experiments A Response Surface Approach 7 Topics in Safety Risk Reliability and Quality
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£170.99
Springer Dynamo and Dynamics a Mathematical Challenge Proceedings of the NATO Advanced Research Workshop Cargese France 2126 August 2000 NATO Science Series II Mathematics Physics Chemistry
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£85.49
Springer Dynamo and Dynamics a Mathematical Challenge
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£85.49
Springer IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics Fluid Mechanics Its Applications Proceedings of the IUTAM 61 Fluid Mechanics and Its Applications
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£123.49
Springer Mechanics for a New Millennium Proceedings of the 20th International Congress on Theoretical and Applied Mechanics Held in Chicago USA 27 Congress of Theoretical Applied Mechani
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£170.99
Springer A Mathematical Approach to Proportional Representation Duncan Black on Lewis Carroll
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£85.49
Springer Distributed LargeScale Dimensional Metrology
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£152.05
Cambridge University Press Wildlife Disease Ecology
Book SynopsisJust like humans, animals and plants suffer from infectious diseases, which can critically threaten biodiversity. This book describes key studies that have driven our understanding of the ecology and evolution of wildlife diseases. Each chapter introduces the host and disease, and explains how that system has aided our general understanding of the evolution and spread of wildlife diseases, through the development and testing of important epidemiological and evolutionary theories. Questions addressed include: How do hosts and parasites co-evolve? What determines how fast a disease spreads through a population? How do co-infecting parasites interact? Why do hosts vary in parasite burden? Which factors determine parasite virulence and host resistance? How do parasites influence the spread of invasive species? How do we control infectious diseases in wildlife? This book will provide a valuable introduction to students new to the topic, and novel insights to researchers, professionals and pTrade Review'Overall, this is a fascinating collection of studies that showcases why wildlife diseases are worthy of study and how combining field observations, experiments, mathematical models and the latest in genomic and molecular research provides not only research insight, but also contributes to effective conservation and management efforts.' Rob Robinson, British Trust for Ornithology'Advances in modeling, epidemiologic techniques, and genetics have been crucial in some examples treated by contributors, and the importance of long-term field studies, essential for understanding dynamic systems, is emphasized throughout the volume. Some studies are observational, some experimental, and some largely theoretical. All contributions are extensively referenced and effectively illustrated.' M. Gochfeld, Choice'Overall, this well-written book is, in my opinion, a valuable contribution that will encourage further collecting and analysing long-term data in the study of wildlife diseases. It also gives hope. The advances in our understanding of wildlife disease dynamics enable better planning of conservation and management efforts, as shown in the case of wild and farmed salmon or the bighorn sheep pneumonia. As such, it is undoubtedly of high value for researchers and managers working in the field of wildlife disease ecology, but also for advanced undergraduate students or academic lecturers who would like to broaden their knowledge. The book was a great company during the coronavirus lockdown and a fascinating journey through the realm of wildlife diseases. I highly recommend it!' Agata Mrugala, Basic and Applied Ecology'This book comes to fill an important niche in disease ecology: synthesizing the state of knowledge about wildlife disease ecology while integrating theoretical models with a wide variety empirical case studies … this book presents an invaluable synthesis of our knowledge of disease ecology in wildlife hosts.' Miguel A. Acevedo, The Quarterly Review of BiologyTable of ContentsPreface: wildlife disease ecology; Glossary of terms; Part I. Understanding Within-Host Processes: 1. Pollinator diseases: the Bombus-Crithidia system; 2. Genetic diversity and disease spread: epidemiological models and empirical studies of a snail-trematode system; 3. Wild rodents as a natural model to study within-host parasite interactions; 4. From population to individual host scale and back again: testing theories of infection and defence in the Soay sheep of St Kilda; 5. The causes and consequences of parasite interactions: African buffalo as a case study; 6. Effects of host lifespan on the evolution of age-specific resistance: a case study of anther-smut disease on wild carnations; 7. Sexually transmitted infections in natural populations: what have we learnt from beetles and beyond?; Part II. Understanding Between-Host Processes: 8. Using insect baculoviruses to understand how population structure affects disease spread; 9. Infection and invasion: study cases from aquatic communities; 10. Parasite mediated selection in red grouse – consequences for population dynamics and mate choice; 11. Emergence, transmission and evolution of an uncommon enemy: Tasmanian devil facial tumour disease; 12. Bovine tuberculosis in badgers: sociality, infection and demography in a social mammal; 13. Mycoplasma ovipneumoniae in bighorn sheep: from exploration to action; 14. Manipulating parasites in an Arctic herbivore: gastrointestinal nematodes and the population regulation of Svalbard reindeer; Part III. Understanding Wildlife Disease Ecology at the Community and Landscape Level: 15. The ecological and evolutionary trajectory of oak powdery mildew in Europe; 16. Healthy herds or predator spreaders? Insights from the plankton into how predators suppress and spread disease; 17. Multi-trophic interactions and migration behaviour determine the ecology and evolution of parasite infection in monarch butterflies; 18. When chytrid fungus invades: integrating theory and data to understand disease- induced amphibian declines; 19. Ecology of a marine ectoparasite in farmed and wild salmon; 20. Mycoplasmal conjunctivitis in house finches: the study of an emerging disease; 21. Heterogeneities in infection and transmission in a parasite-rabbit system: key issues for understanding disease dynamics and persistence; 22. Sylvatic plague in Central Asia: a case study of abundance thresholds.
£99.75
John Wiley & Sons Inc Financial Modeling with Crystal Ball and Excel
Book SynopsisUpdated look at financial modeling and Monte Carlo simulation with software by Oracle Crystal Ball This revised and updated edition of the bestselling book on financial modeling provides the tools and techniques needed to perform spreadsheet simulation. It answers the essential question of why risk analysis is vital to the decision-making process, for any problem posed in finance and investment. This reliable resource reviews the basics and covers how to define and refine probability distributions in financial modeling, and explores the concepts driving the simulation modeling process. It also discusses simulation controls and analysis of simulation results. The second edition of Financial Modeling with Crystal Ball and Excel contains instructions, theory, and practical example models to help apply risk analysis to such areas as derivative pricing, cost estimation, portfolio allocation and optimization, credit risk, and cash flow analysis. It includes the resouTable of ContentsPreface xi Acknowledgments xvii About the Author xix Chapter 1 Introduction 1 1.1 Financial Modeling 2 1.2 Risk Analysis 2 1.3 Monte Carlo Simulation 4 1.4 Risk Management 8 1.5 Benefits and Limitations of Using Crystal Ball 9 Chapter 2 Analyzing Crystal Ball Forecasts 11 2.1 Simulating a 50–50 Portfolio 11 2.2 Varying the Allocations 22 2.3 Presenting the Results 27 Chapter 3 Building A Crystal Ball Model 29 3.1 Simulation Modeling Process 29 3.2 Defining Crystal Ball Assumptions and Forecasts 30 3.3 Running Crystal Ball 33 3.4 Sources of Error 34 3.5 Controlling Model Error 36 Chapter 4 Selecting Crystal Ball Assumptions 37 4.1 Crystal Ball’s Basic Distributions 37 4.2 Using Historical Data to Choose Distributions 55 4.3 Specifying Correlations 64 Chapter 5 Using Decision Variables 79 5.1 Defining Decision Variables 79 5.2 Decision Table with One Decision Variable 81 5.3 Decision Table with Two Decision Variables 87 5.4 Using OptQuest 98 Chapter 6 Selecting Run Preferences 105 6.1 Trials 105 6.2 Sampling 109 6.3 Speed 111 6.4 Options 113 6.5 Statistics 115 Chapter 7 Net Present Value and Internal Rate of Return 117 7.1 Deterministic NPV and IRR 117 7.2 Simulating NPV and IRR 119 7.3 Capital Budgeting 123 7.4 Customer Net Present Value 133 Chapter 8 Modeling Financial Statements 137 8.1 Deterministic Model 137 8.2 Tornado Chart and Sensitivity Analysis 138 8.3 Crystal Ball Sensitivity Chart 139 8.4 Conclusion 143 Chapter 9 Portfolio Models 145 9.1 Single-period Crystal Ball Model 145 9.2 Single-period Analytical Solution 148 9.3 Multi-period Crystal Ball Model 149 Chapter 10 Value at Risk 155 10.1 VaR 155 10.2 Shortcomings of VaR 157 10.3 Conditional Value at Risk 157 Chapter 11 Simulating Financial Time Series 163 11.1 White Noise 163 11.2 Random Walk 165 11.3 Autocorrelation 166 11.4 Additive Random Walk with Drift 170 11.5 Multiplicative Random Walk Model 173 11.6 Geometric Brownian Motion Model 176 11.7 Mean-reverting Model 180 Chapter 12 Financial Options 187 12.1 Types of Options 187 12.2 Risk-neutral Pricing and the Black-Scholes Model 188 12.3 Portfolio Insurance 192 12.4 American Option Pricing 194 12.5 Exotic Option Pricing 197 12.6 Bull Spread 201 12.7 Principal-protected Instrument 201 Chapter 13 Real Options 205 13.1 Financial Options and Real Options 205 13.2 Applications of Real Options Analysis 206 13.3 Black-Scholes Real Options Insights 209 13.4 Real Options Valuation Tool 211 Chapter 14 Credit Risk 221 14.1 Expected Loss 221 14.2 Credit Risk Simulation Model 223 14.3 Conditional Value at Risk 225 14.4 Using CVaR to Manage Credit Risk 227 Chapter 15 Construction Project Management 229 15.1 Project Description 229 15.2 Choosing Construction Methods 231 15.3 Risk Analysis 231 15.4 Stochastic Optimization 234 Chapter 16 Oil and GasExploration 235 16.1 Well Properties 235 16.2 Statistical Models 236 16.3 Conclusion 239 Appendix A Crystal Ball’s Probability Distributions 241 A.1 Bernoulli 241 A.2 Beta 243 A.3 Beta PERT 244 A.4 Binomial 246 A.5 Custom 247 A.6 Discrete Uniform 251 A.7 Exponential 252 A.8 Gamma 254 A.9 Geometric 255 A.10 Hypergeometric 257 A.11 Logistic 259 A.12 Lognormal 260 A.13 Maximum Extreme 262 A.14 Minimum Extreme 263 A.15 Negative Binomial 264 A.16 Normal 266 A.17 Pareto 267 A.18 Poisson 269 A.19 Student’s t 270 A.20 Triangular 272 A.21 Uniform 273 A.22 Weibull 275 A.23 Yes-No 276 Appendix B Generating Assumption Values 279 B.1 Generating Random Numbers 279 B.2 Generating Random Variates 282 B.3 Latin Hypercube Sampling 284 Appendix C Variance Reduction Techniques 287 C.1 Using Crystal Ball to Value an Asian Option 288 C.2 Antithetic Variates 289 C.3 Control Variates 289 C.4 Comparison 290 C.5 Conclusion 292 Appendix D About the Download 293 Glossary 297 References 301 Index 311
£52.50
Wiley-Blackwell Solutions Manual to Accompany Applied Mathematics and Modeling for Chemical Engineers
Book SynopsisThis book is a Solutions Manual to Accompany Applied Mathematics and Modeling for Chemical Engineers. There are many examples provided as homework in the original text and the solution manual provides detailed solutions of many of these problems that are in the parent book Applied Mathematics and Modeling for Chemical Engineers.
£37.95
Springer-Verlag New York Inc. Linear Optimization
Book SynopsisThe Simplex Algorithm.- Geometry.- The Duality Theorem.- Matrix Environment.- General Form.- Unsolvable Systems.- Geometry Revisited.- Game Theory.- Network Environment.- Combinatorics.- Economics.- Integer Optimization.Trade ReviewFrom the reviews:“In an effort at reform, Hurlbert (Arizona State) dubs his subject ‘linear optimization’ … . the author designs his work for discovery-based learning. … Ideally, this volume offers students the opportunity to recapitulate the Socratic process for reinforcement … . Summing Up: Recommended. Lower-division undergraduates.” (D. V. Feldman, Choice, Vol. 47 (9), May, 2010)“Hurlbert’s textbook focuses on the mathematics of linear programming and important connections to linear algebra, graph theory, convexity, and game theory. The author has adopted the Moore method in which students are given some basic terminology and definitions and are then asked to develop the subject by proving a series of theorems. … This textbook would be very suitable for an undergraduate course in linear programming that uses the Moore method.” (Brian Borchers, The Mathematical Association of America, February, 2010)“This text is … oriented toward duality as central to solving and understanding linear optimization problems. … Sequential steps in the ‘Workouts’ help guide the student through the discovery process. … this book would be an excellent choice for an instructor wishing to teach linear optimization to a motivated class. There is enough in here to sustain every taste and approach and create an excellent first course in optimization.” (Steven R. Dunbar, SIAM Review, Vol. 53 (3), 2011)Table of ContentsIntroduction.- The Simplex Algorithm.- Geometry.- The Duality Theorem.- Matrix Implementation.- General Form.- Unsolvable Systems.- Geometry Revisited.- Game Theory.- Network Implementation.- Combinatorics.- Economics.- Integer Optimization.- Appendix A: Linear Algebra Overview.- Appendix B: The Equivalence of the Auxiliary and Shortcut Methods.- Appendix C: Complexity.- Appendix D: LOP Catalog.
£49.99
Emerald Publishing Limited Choice Modelling: The State-of-the-art and the
Book SynopsisThis book contains a selection of the best theoretical and applied papers from the inaugural International Choice Modelling Conference. The conference was organised by the Institute for Transport Studies at the University of Leeds and held in Harrogate, North Yorkshire on 30 March to 1 April 2009. The conference brought together leading researchers and practitioners from across the many different areas in which choice modelling is a key technique for understanding behaviour and evaluating policy. The diversity of the field was reflected in presentations by both academics and practitioners, coming from six continents and a variety of fields including transport and economics. Key contributions include papers from Professor Daniel McFadden, from the University of California, Berkeley - Nobel Prize laureate in Economics and chief architect of random utility modelling. The conference also included keynote presentations by five other leading choice modellers, namely Professor Moshe Ben-Akiva, Professor Chandra Bhat, Professor Michel Bierlaire, Professor David Hensher, and Professor Riccardo Scarpa.Trade ReviewAn important collection of papers by many of the world's leading researchers in choice modeling. With topics that range from the conceptual basis of choice to the pragmatics of data collection, this volume provides a vivid snapshot of the current state of the field.A" Kenneth Train, University of California, Berkeley.Table of ContentsPART I: Guest Speaker Papers 1. Sociality, Rationality, and the Ecology of Choice - Daniel McFadden 2. Planning and Action in a Model of Choice - Moshe Ben-Akiva 3. Attribute Processing, Heuristics, and Preference Construction in Choice Analysis - David Hensher 4. The Multiple Discrete-Continuous Extreme Value (MDCEV) Model: Formulation and Applications - Chandra R. Bhat & Naveen Eluru 5. Capturing Human Perception of Facial Expressions by Discrete Choice Modelling - Matteo Sorci,Thomas Robin, Javier Cruz, Michel Bierlaire, J.-P. Thiran and Gianluca Antonini Part II: Data Collection 6. Serial Choice Conjoint Analysis for Estimating Discrete Choice Models - Michiel C.J. Bliemer and John M. Rose 7. Observed Efficiency of a D-Optimal Design in an Interactive Agency Choice Experiment - Sean M. Puckett and John M. Rose 8. Effects of Stated Choice Design Dimensions on Model Estimates - Phani Kumar Chintakayala, Stephane Hess, John M. Rose and Mark Wardman 9. Stated Choice Experimental Designs for Scheduling Models - Paul Koster and Yin-Yen Tseng Part III: Concepts & Methodology 10. Systematically Heterogeneous Covariance in Network GEV Models - Jeffrey P. Newman 11. On Estimation of Hybrid Choice Models - Denis Bolduc and Ricardo Alvarez-Daziano 12. A Model of Travel Happiness and Mode Switching - Maya Abou-Zeid and Moshe Ben-Akiva 13. On Path Generation Algorithms for Route Choice Models - Emma Frejinger and Michel Bierlaire Part IV: Endogeneity and Heterogeneity 14. Mode Choice Endogeneity in Value of Travel Time Estimation - Stefan L. Mabit and Mogens Fosgerau 15. Accommodating Coefficient Outliers in Discrete Choice Modelling: A Comparison of Discrete and Continuous Mixing Approaches - Danny Campbell, Stephane Hess, Riccardo Scarpa and John M. Rose 16. Addressing Endogeneity in Discrete Choice Models: Assessing Control-Function and Latent-Variable Methods - Cristian Angelo Guevara and Moshe Ben-Akiva 17. Latent Class and Mixed Logit Models with Endogenous Choice Set Formation Based on Compensatory Screening Rules - Matthieu de Lapparent Part V: Transport Matters 18. Transport Welfare Benefits in the Presence of an Income Effect - James Laird 19. Which Commuters will Car Share? An Examination of Alternative Approaches to Identifying Market Segments - Jon Crockett, Gerard Andrew Whelan, Caroline Louise Sinclair and Hugh Gillies 20. Modelling Choice in a Changing Environment: Assessing the Shock Effects of a New Transport System - Maria Francisca Yanez and Juan de Dios Ortuzar 21. What do We Really Know About Travellers' Response to Unreliability? - Yaron Hollander Part VI: Beyond Transport 22. Optimizing Product Portfolios Using Discrete Choice Modeling and TURF - Thomas J. Adler, Colin Smith and Jeffrey Dumont 23. Preference Stability: Modelling how Consumer Preferences Shift after Receiving New Product Information - Harmen Oppewal, Mark Morrison, Paul Wang and David Waller 24. Investigating Willingness to Pay -Willingness to Accept Asymmetry in Choice Experiments - Bruno Lanz, Allan Provins, Ian J. Bateman, Riccardo Scarpa, Ken Willis and Ece Ozdermiroglu 25. Clustering Ranked Preference Data Using Sociodemographic Covariates - Isobel Claire Gormley and Thomas Brendan Murphy 26. Continuous versus Discrete Representation of Investing Firm Heterogeneity in Modelling FDI Location Decisions - Simona Rasciute and Eric J. Pentecost 27. Development of Integrated Choice and Latent Variable (ICLV) Models for the Residential Relocation Decision in Island Areas - Eleni Kitrinou, Amalia Polydoropoulou and Denis Bolduc
£124.99
Springer Nature Switzerland AG The Isogeometric Boundary Element Method
Book SynopsisThis book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.Table of ContentsIntroduction.- The boundary integral equation.- Basis functions, B-splines.- Description of the geometry.- Getting geometry information from CAD programs.- Numerical treatment of integral equations.- Numerical integration.- Steady state potential problems.- Static linear solid mechanics.- Body force effects.- Treatment of inhomogeneities/inclusions.- Material non-linear behaviour.- Applications in geomechanics.- Viscous flow problems.- Time dependent problems.- Summary and outlook.- Appendix A: Fundamental solutions.
£71.24
Springer Nature Switzerland AG Modeling Excitable Tissue: The EMI Framework
Book SynopsisThis open access volume presents a novel computational framework for understanding how collections of excitable cells work. The key approach in the text is to model excitable tissue by representing the individual cells constituting the tissue. This is in stark contrast to the common approach where homogenization is used to develop models where the cells are not explicitly present. The approach allows for very detailed analysis of small collections of excitable cells, but computational challenges limit the applicability in the presence of large collections of cells.Table of ContentsDerivation of a cell-based mathematical model of excitable cells.- A cell-based model for ionic electrodiffusion in excitable tissue.- Modeling cardiac mechanics on a subcellular scale.- Operator splitting and finite difference schemes for solving the EMI model.- Solving the EMI equations using finite element methods.- Iterative solvers for EMI models.- Improving neural simulations with the EMI model.- Index.
£34.99
Springer Nature Switzerland AG Non-Local Cell Adhesion Models: Symmetries and
Book SynopsisThis monograph considers the mathematical modeling of cellular adhesion, a key interaction force in cell biology. While deeply grounded in the biological application of cell adhesion and tissue formation, this monograph focuses on the mathematical analysis of non-local adhesion models. The novel aspect is the non-local term (an integral operator), which accounts for forces generated by long ranged cell interactions. The analysis of non-local models has started only recently, and it has become a vibrant area of applied mathematics. This monograph contributes a systematic analysis of steady states and their bifurcation structure, combining global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the symmetries of the non-local term. These methods allow readers to analyze and understand cell adhesion on a deep level.Trade Review“Modelers who wish to use similar approaches in their modeling will find this a good source of base information, as well as a valuable guide for initiating similar analyses for their own models. Analysts wishing to expand our understanding … will find this book a fine building block. It could also prove a useful resource for graduate students looking for potential projects … . this monograph is an admirable attempt … and hopefully will inspire significant further study.” (Kevin Painter, SIAM Review, Vol. 64 (1), March, 2022)“The detailed analysis, as presented here, shows a stimulating interaction between model symmetries, mathematical analysis, and biological reality, which probably are inspired the authors and hopefully the readers of this book too.” (Andrey Zahariev, zbMATH 1473.92001, 2021)Table of ContentsIntroduction.- Preliminaries.- The Periodic Problem.- Basic Properties.- Local Bifurcation.- Global Bifurcation.- Non-local Equations with Boundary Conditions.- No-flux Boundary Conditions.- Discussion and future directions.
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