Numerical Methods for Initial Value Problems in Ordinary Differential Equations
โ 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
No coin nor oath required. For personal study only.
โฆ 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
๐ SIMILAR VOLUMES
<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