Finite Difference Computing with PDEs: A Modern Software Approach

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If you make use of this material, you may credit the authors as follows:

Svein Linge and Hans Petter Langtangen, "Finite Difference Computing with PDEs: A Modern Software Approach", Springer Nature, 2017, DOI: https://doi.org/10.1007/978-3-319-55456-3, License: https://creativecommons.org/licenses/by/4.0/

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.

Keywords

Python, Numerical Methods, Finite Difference Methods, Programming, Verification, Differential Equations

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