Finite Difference Computing with PDEs A Modern Software Approach /

• Main Authors: Langtangen, Hans Petter (Author), Linge, Svein (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Texts in Computational Science and Engineering, 16
• Subjects: Mathematics.; Numerical analysis.; Computer science > Mathematics.; Computer mathematics.; Computational Science and Engineering.; Mathematical Applications in Computer Science.; Numeric Computing.

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 espec...

Table 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. .