Langtangen, Hans Petter.

Finite Difference Computing with PDEs A Modern Software Approach / [electronic resource] : by Hans Petter Langtangen, Svein Linge. - 1st ed. 2017. - XXIII, 507 p. 150 illus. online resource. - Texts in Computational Science and Engineering, 16 1611-0994 ; . - Texts in Computational Science and Engineering, 16 .

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

Open Access

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.

9783319554563

10.1007/978-3-319-55456-3 doi


Computer mathematics.
Computer science—Mathematics.
Numerical analysis.
Computational Science and Engineering.
Mathematical Applications in Computer Science.
Numeric Computing.

QA71-90

004