|  | Yang, Xin-She
Mathematical Modeling with Multidisciplinary Applications
 1. Auflage Februar 2013
109,- Euro
2013. 592 Seiten, Hardcover
ISBN 978-1-118-29441-3 - John Wiley & Sons
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| Kurzbeschreibung
This book details the interdisciplinary nature of mathematical modeling and numerical algorithms. It 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. Including case studies, worked examples, and exercises, it cover topics such as partial differential equations, fractional calculus, inverse problems by ODEs, semigroups, decision theory, risk analysis, Bayesian estimation, nonlinear PDEs in financial engineering, perturbation analysis, dynamic system modeling, and much more.
Aus dem Inhalt
List of Figures xv
Preface xxv
Acknowledgments xxix
Part I. Introduction and Foundations
1. Differential Equations 3
Xin-She Yang
2. Mathematical Modelling 23
Xin-She Yang
3. Numerical Methods: An Introduction 45
Xin-She Yang
4. Teaching Mathematical Modelling 57
Thomas Lingefjärd
Part II. Mathematical Modelling with Multidisciplinary Applications
5. Industrial Mathematics with Applications 83
Alfredo Bermúdez and Luz M. García García
6. Data Analysis in Economics 123
Ivan Jeliazkov and Mohammad Arshad Rahman
7. Inverse Problems in ODEs 151
H. Kunze and D. La Torre
8. Estimation of Model Parameters 169
Robert Piché
9. Parabolic PDE in Financial Engineering 191
L. A. Boukas, K. I. Vasileiadis, S. Z. Xanthopoulos, A. N. Yannacopoulos
10. Decision Modeling in Supply Chain Management 229
Huajun Tang
11. Modelling Pricing Weather Derivatives 257
Fred Espen Benth
12. Decision Theory in Social Sciences 285
E. V. Petracou and A. N. Yannacopoulos
13. Fractals, with applications to signal and image modeling 307
H. Kunze and D. La Torre
14. Efficient Numerical Methods for Singularly Perturbed Differential Equations 329
S. Natesan
Part III. Advanced Modelling Topics
15. Fractional Calculus and its Applications 357
Ivo Petrás
16. Goal Programming Model 397
Belaid Aouni, Cinzia Colapinto and Davide La Torre
17. Decision Theory and Game Theory 421
E. V. Petracou and A. N. Yannacopoulos
18. Control Problems on Differential Equations 449
Chuang Zheng
19. Markoc-jump stochastic models 473
Boualem Khouider
Problem Solutions 527
Index 559
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