Learn to write programs to solve ordinary and partial differential equations The Second Edition of this popular text provides an insightful introduction to the use of finite difference and finite element methods for the computational solution of ordinary and partial differential equations.
The Numerical Solution of Ordinary and Partial Differential Equations
โ Scribed by Granville Sewell (Auth.)
- Publisher
- Elsevier Inc, Academic Press
- Year
- 1988
- Tongue
- English
- Leaves
- 273
- Edition
- First Edition
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This short book gives a solid introduction to the field. After a review of direct methods for the solution of linear systems, following chapters introd and analyze the more commonly used finite difference methods for solving a variety of problems. Annotation copyright Book News, Inc. Portland, Or
โฆ Table of Contents
Content:
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
Preface, Pages xi-xii
0 - Direct Solution of Linear Systems, Pages 1-27
1 - Initial Value Ordinary Differential Equations, Pages 29-66
2 - The Initial Value Diffusion Problem, Pages 67-96
3 - The Initial Value Transport and Wave Problems, Pages 97-127
4 - Boundary Value Problems, Pages 129-188
5 - The Finite Element Method, Pages 189-252
Appendix 1 - The Fourier Stability Method, Pages 253-259
Appendix 2 - Parallel Algorithms, Pages 261-266
References, Pages 267-268
Index, Pages 269-271
๐ SIMILAR VOLUMES
Learn to write programs to solve ordinary and partial differential equations<br /><br /> The Second Edition of this popular text provides an insightful introduction to the use of finite difference and finite element methods for the computational solution of ordinary and partial differential equation
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang