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Numerical Methods for Initial Value Problems in Ordinary Differential Equations

โœ Scribed by Simeon Ola Fatunla, Werner Rheinboldt and Daniel Siewiorek (Auth.)


Publisher
Elsevier Inc, Academic Press
Year
1988
Tongue
English
Leaves
299
Series
Computer Science and Scientific Computing
Edition
First Edition
Category
Library

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โœฆ Table of Contents


Content:
Inside Front Cover, Page ii
Front Matter, Page iii
Copyright, Page iv
PREFACE, Pages ix-xi
1 - PRELIMINARIES, Pages 1-19
2 - NUMERICAL INTEGRATION ALGORITHMS, Pages 20-30
3 - THEORY OF ONE-STEP METHODS, Pages 31-47
4 - RUNGE-KUTTA PROCESSES, Pages 48-88
5 - LINEAR MULTISTEP METHODS, Pages 89-124
6 - NUMERICAL TREATMENT OF SINGULAR/ DISCONTINUOUS INITIAL VALUE PROBLEMS, Pages 125-139
7 - EXTRAPOLATION PROCESSES AND SINGULARITIES, Pages 140-159
8 - STIFF INITIAL VALUE PROBLEMS, Pages 161-197
9 - STIFF ALGORITHMS, Pages 198-225
10 - SECOND ORDER DIFFERENTIAL EQUATIONS, Pages 226-237
11 - RECENT DEVELOPMENTS IN ODE SOLVERS, Pages 238-245
REFERENCES, Pages 247-286
INDEX, Pages 287-295


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<p><p>Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losi