
Computational Mathematical Modeling
An Integrated Approach Across Scales
Society for Industrial & Applied Mathematics,U.S. (Publisher)
Published on 30. December 2012
Book
Paperback/Softback
234 pages
978-1-61197-247-4 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
New York
United States
Target group
College/higher education
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 256 mm
Width: 179 mm
Thickness: 15 mm
Weight
441 gr
ISBN-13
978-1-61197-247-4 (9781611972474)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Daniela Calvetti is a Professor of Mathematics at Case Western Reserve University. Her research interests include numerical linear algebra, large scale scientific computing, Bayesian statistical computing and modeling. She has published over 100 research papers and one monograph. Erkki Somersalo is a Professor at Case Western Reserve University. His areas of expertise are computational inverse problems, statistical scientific computing, and fields and waves, in particular with applications to medical imaging. His work also includes applications in life sciences and medicine. He has published two monographs and over a hundred research papers.
Content
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
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