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＜E-Book＞
Finite Difference Computing with PDEs : A Modern Software Approach / by Hans Petter Langtangen, Svein Linge
(Texts in Computational Science and Engineering. ISSN:2197179X ; 16)

Edition	1st ed. 2017.
Publisher	Cham : Springer International Publishing : Imprint: Springer
Year	2017
Language	English
Size	XXIII, 507 p. 150 illus : online resource
Authors	*Langtangen, Hans Petter author Linge, Svein author SpringerLink (Online service)
Subjects	LCSH:Mathematics -- Data processing  All Subject Search LCSH:Computer science -- Mathematics  All Subject Search LCSH:Numerical analysis FREE:Computational Science and Engineering FREE:Mathematical Applications in Computer Science FREE:Numerical Analysis
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-319-55456-3

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