Finite Difference Computing with PDEs
A Modern Software Approach
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Beschreibung
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.
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.
An easy-to-read text explaining the ideas behind finite Uses fundamental PDEs to illustrate the path from algorithm to well-designed, complete computer code Explains and demonstrates the skill of verifying computer code on the basis of numerous examples Elaborates on artifacts in simulation results, further enhancing readers’ understanding Includes supplementary material: sn.pub/extras
Autor*in
Hans Petter Langtangen
Themen in »Finite Difference Computing with PDEs«
Finite difference methods Programming Python Verification Numerical methods Differential equations Open access