Computational Mathematical Modeling

Interesting, real-world mathematical modeling problems are complex and can usually be studied at different scales. The scale at which the investigation is carried out is one of the factors that determines the type of mathematics most appropriate to describe the problem. The book concentrates on two modeling paradigms: the macroscopic, in which the authors describe phenomena in terms of time evolution via ordinary differential equations, and the microscopic, which requires knowledge of random events and probability. The text emphasizes the development of computational skills to construct predictive models and analyze the results. To elucidate the concepts, a wealth of examples and portions of MATLAB? code used by the authors are included. Computational Mathematical Modeling: An Integrated Approach Across Scales: Is designed for classroom use, has been extensively tested by the authors, and has homework problems carefully designed to develop students' computational skills. Is based on an unorthodox combination of deterministic and probablistic methodologies that are naturally bridged through examples. Painlessly introduces students to advanced themes in a natural progression. Includes suggestions for further reading.