Computational Mathematical Modeling: An Integrated Approach Across Scales (Monographs on Mathematical Modeling and Computation)

Calvetti, Daniela, Somersalo, Erkki

Published by SIAM-Society for Industrial and Applied Mathematics, 2012
ISBN 10: 1611972477 / ISBN 13: 9781611972474
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Synopsis: 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. This 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 and has been extensively tested by the authors. The homework problems have been carefully designed to develop students computational skills. The book is based on an unorthodox combination of deterministic and probablistic methodologies that are naturally bridged through examples; it painlessly introduces students to advanced themes in a natural progression and includes suggestions for further reading.

Audience: This book is intended for advanced undergraduate and beginning graduate students in mathematics, engineering, and physical and life sciences.

Contents Chapter 1: Review of Multivariate Calculus and Differential Equations; Chapter 2: Compartment Models; Chapter 3: From Compartment Models to Continuous Models; Chapter 4: Dimensional Analysis and Scaling; Chapter 5: Introduction to Stochastic Modeling; Chapter 6: Modeling of Noise; Chapter 7: Modeling with Waiting Processes; Chapter 8: Markov Processes; Chapter 9: Cellular Automata, Agent Based Modeling

Book Description: A textbook that guides the reader through the mathematical modelling of real-world phenomena at both macroscopic and microscopic scales. The book, which emphasises computational skills, includes examples, self-study problems and MATLAB code to aid learning. Suitable for students in mathematics and the physical sciences at advanced undergraduate level and above.

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Title: Computational Mathematical Modeling: An ...
Publisher: SIAM-Society for Industrial and Applied Mathematics
Publication Date: 2012
Book Condition: Very Good

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Book Description Society for Industrial Applied Mathematics,U.S., United States, 2013. Paperback. Book Condition: New. Language: English . Brand New Book. 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 phenomena are described in terms of time evolution via ordinary differential equations; and the microscopic, which requires knowledge of random events and probability. The exposition is based on this unorthodox combination of deterministic and probabilistic methodologies, and emphasizes the development of computational skills to construct predictive models. To elucidate the concepts, a wealth of examples, self-study problems, and portions of MATLAB code used by the authors are included. This book, which has been extensively tested by the authors for classroom use, is intended for students in mathematics and the physical sciences at the advanced undergraduate level and above. Bookseller Inventory # AAU9781611972474

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Book Description Society for Industrial Applied Mathematics,U.S., United States, 2013. Paperback. Book Condition: New. Language: English . Brand New Book. 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 phenomena are described in terms of time evolution via ordinary differential equations; and the microscopic, which requires knowledge of random events and probability. The exposition is based on this unorthodox combination of deterministic and probabilistic methodologies, and emphasizes the development of computational skills to construct predictive models. To elucidate the concepts, a wealth of examples, self-study problems, and portions of MATLAB code used by the authors are included. This book, which has been extensively tested by the authors for classroom use, is intended for students in mathematics and the physical sciences at the advanced undergraduate level and above. Bookseller Inventory # AAU9781611972474

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Book Description Society for Industrial & Applied Mathematics,U.S., 2012. Book Condition: New. 2012. Paperback. A textbook that covers mathematical modeling at a range of scales from a computational viewpoint, suitable for advanced undergraduates. Series: Monographs on Mathematical Modeling & Computation. Num Pages: 234 pages, illustrations. BIC Classification: PBWH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 254 x 177 x 13. Weight in Grams: 436. . . . . . . Bookseller Inventory # V9781611972474

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Book Description Society for Industrial & Applied Mathematics,U.S. Book Condition: New. 2012. Paperback. A textbook that covers mathematical modeling at a range of scales from a computational viewpoint, suitable for advanced undergraduates. Series: Monographs on Mathematical Modeling & Computation. Num Pages: 234 pages, illustrations. BIC Classification: PBWH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 254 x 177 x 13. Weight in Grams: 436. . . . . . Books ship from the US and Ireland. Bookseller Inventory # V9781611972474

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