3319554557
Finite Difference Computing with PDEs: A Modern Software Approach (Texts in Computational Science and Engineering)
by: Hans Petter Langtangen – Svein Linge
ISBN-10: 3319554557
ISBN-13: 9783319554556
Edition 版次: 1st ed. 2017
Publication Date 出版日期: 2017-07-20
Print Length 页数: 507
Book Description
By finelybook
This book is open access under a CC BY 4.0 license.
This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic,this book was written for practitioners. Accordingly,it especially addresses: the construction of finite difference schemes,formulation and implementation of algorithms,verification of implementations,analyses of physical behavior as implied by the numerical solutions,and how to apply the methods and software to solve problems in the fields of physics and biology.
Contents
Chapter 1 Vibration Odes
Chapter 2 Wave Equations
Chapter 3 Diffusion Equations
Chapter 4 Advection-Dominated Equations
Chapter 5 Nonlinear Problems
Appendix A Useful Formulas
Appendix B Truncation Error Analysis
Appendix C Software Engineering; Wave Equation Model
