Generalized Collocation Methods by Nicola Bellomo

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Summary

Analysis of nonlinear models and problems is crucial in the application of mathematics to real-world problems. This book approaches its subject by focusing on collocation methods for solving nonlinear evolution equations and applying them to mathematical problems.

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Generalized Collocation Methods by Nicola Bellomo

Analysis of nonlinear models and problems is crucial in the application of mathematics to real-world problems. This book approaches its subject by focusing on collocation methods for solving nonlinear evolution equations and applying them to mathematical problems.

From the reviews:

"This book is concerned with the solution of initial-boundary partial differential equations using the generalised collocation methodMost of the book describes examples of how the method works for a range of examples. It is aimed primarily at engineering students. The book starts by looking at general considerations of mathematical modelling and discusses dimensional analysis." (Kenneth Wright, Mathematical Reviews, Issue 2008 g)

"This textbook is intended for undergraduate engineering students who wish to learn about mathematical modeling, along with the use of collocation methods for nonlinear evolutionary problems. … The method of lines obtained from collocation is solved by a Mathematica routine. The book contains an appendix giving several Mathematica programs for problems … ." (Gerald W. Hedstrom, Zentralblatt MATH, Vol. 1135 (13), 2008)

“The book has been written primarily for scientists, engineers, and university students with a good knowledge of basic mathematics and differential equations at an elementary level who are interested in the application of mathematics to problems from application fields. The aim is to offer an easy-to-use handbook for the Mathematica implementation of the collocation method for the problem at hand. For that purpose a nice selection of example problems is discussed, accompanied by Mathematica software…The material is well presented in a pleasant and easily readable style and covers a substantial number of topics. Potential readers, in particular university students interested in applying mathematics who wish to become acquainted with the enormous power of scientific computing, are advised to read this well-written textbook, certainly if they already possess Mathematica skills.” (SIAM Review)

SKU Unavailable
ISBN 13 9780817645250
ISBN 10 081764525X
Title Generalized Collocation Methods
Author Nicola Bellomo
Series Modeling And Simulation In Science Engineering And Technology
Condition Unavailable
Binding Type Hardback
Publisher Birkhauser Boston Inc
Year published 2007-10-16
Number of pages 196
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.