Modelling Mathematical Methods and Scientific Computation

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CRC Press, Dec 22, 1994 - Mathematics - 512 pages
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Addressed to engineers, scientists, and applied mathematicians, this book explores the fundamental aspects of mathematical modelling in applied sciences and related mathematical and computational methods. After providing the general framework needed for mathematical modelling-definitions, classifications, general modelling procedures, and validation methods-the authors deal with the analysis of discrete models. This includes modelling methods and related mathematical methods. The analysis of models is defined in terms of ordinary differential equations. The analysis of continuous models, particularly models defined in terms of partial differential equations, follows. The authors then examine inverse type problems and stochastic modelling. Three appendices provide a concise guide to functional analysis, approximation theory, and probability, and a diskette included with the book includes ten scientific programs to introduce the reader to scientific computation at a practical level.
 

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Contents

Discrete Models
29
Continuous Models
195
Inverse and Stochastic Problems
339
Function Spaces
419
Interpolation and Approximation
429
Random Variables
473
References
481
Subjects Index
491
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