Home / Catalog / Finite Difference Computing with PDEs
Finite Difference Computing with PDEs
Finite Difference Computing with PDEs
A Modern Software Approach
Author(s): Hans Petter Langtangen, Svein Linge
Open Access: BY 4.0
Publication Date  Available in all formats
Publisher: Springer Nature
ISBN: 9783319554563
Pages: 507
https://doi.org/10.1007/978-3-319-55456-3

EBOOK (EPUB)

EBOOK (PDF)

ISBN: 9783319554563

Description

Table of contents

Keyword(s): finite difference methods, programming, python, verification, numerical methods, differential equations
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.
Description
Subject(s): finite difference methods, programming, python, verification, numerical methods, differential equations
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.
Table of contents
  • Cover
  • Frontmatter
  • 1. Vibration ODEs
  • 2. Wave Equations
  • 3. Diffusion Equations
  • 4. Advection-Dominated Equations
  • 5. Nonlinear Problems
  • Backmatter

Rate this Book

Tell us what you think.