Mathematical modeling with multidisciplinary applications / [edited by] Xin-She Yang,

Includes bibliographical references and index.

Part I. Introduction and Foundations.
1. Differential Equations--
2. Mathematical Modelling--
3. Numerical Methods: An Introduction--
4. Teaching Mathematical Modelling in Teacher Eduction: Efforts and Results--

Part II. Mathematical Modelling with Multidisciplinary
Applications.
5. Industrial Mathematics with Applications--
6. Binary and Ordinal Data Analysis in Economics: Modeling and Estimation--
7. Inverse Problems in ODEs--
8. Estimation of Model Parameters--
9. Linear and Nonlinear Parabolic Partial Differential Equations in Financial Engineering--
10. Decision Modeling in Supply Chain Management--
11. Modelling Pricing Weather Derivatives--
12.Decision Theory under Risk and Application in Social Sciences--
13. Fractals, with applications to signal and image modeling--
14. Efficient Numerical Methods for Singularly Perturbed Differential Equations--

Part III. Advanced Modelling Topics.
15. Fractional Calculus and its Applications--
16. The Goal Programming Model: Theory and Applications--
17. Decision Theory under Risk and Applications in Social Sciences: Game Theory--
18. Control Problems on Differential Equations--
19.Markoc-jump stochastic models for Tropical Convection--

Problem Solutions--
Index.

"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"--