Mathematical Modeling with Multidisciplinary Applications

Xin-She Yang 지음

Wiley 2013년 04월 01일 출간

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Features mathematical modeling techniques and real-world processes with applications in diverse fieldsMathematical Modeling with Multidisciplinary Applications details the interdisciplinary nature of mathematical modeling and numerical algorithms. The book combines a variety of applications from diverse fields to illustrate how the methods can be used to model physical processes, design new products, find solutions to challenging problems, and increase competitiveness in international markets.Written by leading scholars and international experts in the field, the book presents new and emerging topics in areas including finance and economics, theoretical and applied mathematics, engineering and machine learning, physics, chemistry, ecology, and social science. In addition, the book thoroughly summarizes widely used mathematical and numerical methods in mathematical modeling and features:Diverse topics such as partial differential equations (PDEs), fractional calculus, inverse problems by ordinary differential equations (ODEs), semigroups, decision theory, risk analysis, Bayesian estimation, nonlinear PDEs in financial engineering, perturbation analysis, and dynamic system modelingCase studies and real-world applications that are widely used for current mathematical modeling courses, such as the green house effect and Stokes flow estimationComprehensive coverage of a wide range of contemporary topics, such as game theory, statistical models, and analytical solutions to numerical methodsExamples, exercises with select solutions, and detailed references to the latest literature to solidify comprehensive learningNew techniques and applications with balanced coverage of PDEs, discrete models, statistics, fractional calculus, and moreMathematical Modeling with Multidisciplinary Applications is an excellent book for courses on mathematical modeling and applied mathematics at t

목차

List of Figures xvPreface xxvAcknowledgments xxixPart I. Introduction and Foundations1. Differential Equations 3Xin-She Yang2. Mathematical Modelling 23Xin-She Yang3. Numerical Methods: An Introduction 45Xin-She Yang4. Teaching Mathematical Modelling 57Thomas LingefjärdPart II. Mathematical Modelling with Multidisciplinary Applications5. Industrial Mathematics with Applications 83Alfredo Berm&u'dez and Luz M. Garc&i'a Garc&i'a6. Data Analysis in Economics 123Ivan Jeliazkov and Mohammad Arshad Rahman7. Inverse Problems in ODEs 151H. Kunze and D. La Torre8. Estimation of Model Parameters 169Robert Pich&e'9. Parabolic PDE in Financial Engineering 191L. A. Boukas, K. I. Vasileiadis, S. Z. Xanthopoulos, A. N. Yannacopoulos10. Decision Modeling in Supply Chain Management 229Huajun Tang11. Modelling Pricing Weather Derivatives 257&Fred Espen Benth12. Decision Theory in Social Sciences 285E. V. Petracou and A. N. Yannacopoulos13. Fractals, with applications to signal and image modeling 307H. Kunze and D. La Torre14. Efficient Numerical Methods for Singularly Perturbed Differential Equations 329S. NatesanPart III. Advanced Modelling Topics15. Fractional Calculus and its Applications 357Ivo Petr&a'š16. Goal Programming Model 397Belaid Aouni, Cinzia Colapinto and Davide La Torre17. Decision Theory and Game Theory 421E. V. Petracou and A. N. Yannacopoulos18. Control Problems on Differential Equations 449Chuang Zheng19. Markoc-jump stochastic models 473Boualem KhouiderProblem Solutions 527Inde

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저자(글) Xin-She Yang

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XIN#45;SHE YANG, PhD, is Senior Research Scientist in the Department of Mathematical and Scientific Computing at the National Physical Laboratory in the United Kingdom, Reader in Modeling and Optimization at Middlesex University, UK, and Adjunct Professor at Reykjavik University, Iceland. He is Editor#45;in#45;Chief of the International Journal of Mathematical Modelling and Numerical Optimisation, a member of both the Society for Industrial and Applied Mathematics and the British Computer Society, a Fellow of The Royal Institution of Great Britain, and author of seven additional books and over 100 journal articles.