Finite Difference Computing with PDEs - A Modern Software Approach

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.

List of contents

Preface.- Vibration ODEs.- Wave Equations.- Diffusion equations.- Advection-dominated equations.- Nonlinear problems.- Useful formulas.- Truncation error analysis.- Software engineering: wave equation model.- References.- Index. 

Summary

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.

Product details

• Authors: Hans Petter Langtangen, Svein Linge
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.08.2018
• EAN: 9783319856667
• ISBN: 978-3-31-985666-7
• No. of pages: 507
• Dimensions: 178 mm x 30 mm x 253 mm
• Weight: 1001 g
• Illustrations: XXIII, 507 p. 150 illus.
• Series: Texts in Computational Science and Engineering
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > General, dictionaries; B, Theoretische Informatik, Mathematics and Statistics, Mathematical Applications in Computer Science, Mathematics of Computing, Computer mathematics, Numerical analysis, Mathematical theory of computation, Computational Science and Engineering, Computer science—Mathematics, Mathematical modelling, Numeric Computing