Finite Difference Computing with PDEs A Modern Software Approach 1st Edition by Hans Petter Langtangen, Svein Linge ISBN 3319554557 9783319554556

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Product details:

ISBN 10:     3319554557 
ISBN 13: 978-3319554556
Author:      Hans Petter Langtangen, Svein Linge

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.

Finite Difference Computing with PDEs A Modern Software Approach 1st Table of contents:

Mathematical Models and Equations

1. Vibration Ordinary Differential Equations (ODEs)

2. Wave Equations

3. Diffusion Equations

4. Advection-Dominated Equations

5. Nonlinear Problems

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Methodologies and Techniques

1. Useful Formulas

2. Truncation Error Analysis

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Applications and Software Engineering

1. Software Engineering: Wave Equation Model

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