Mathematical Modeling with Multidisciplinary Applications

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 Lingefjard Part II. Mathematical Modelling with Multidisciplinary Applications 5. Industrial Mathematics with Applications 83 Alfredo Bermudez and Luz M. Garcia Garcia 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 Piche 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 Petras 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