Modelling Mathematical Methods and Scientific Computation

Nicola Bellomo, Luigi Preziosi

December 22, 1994 by CRC Press
Reference - 512 Pages
ISBN 9780849383311 - CAT# 8331
Series: Mathematical Modeling

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  • Contains detailed methodology for modelling discrete, continuous, and stochastic systems
  • Presents effective methods for solving mathematical problems in the applied sciences
  • Provides a concise yet effective guide to scientific computation
  • Covers modelling and solution of inverse problems in the applied sciences
  • Offers a bibliography organized by class of models
  • Summary

    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.