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Finite difference computing with PDEs = a modern software approach /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Finite difference computing with PDEs/ by Hans Petter Langtangen, Svein Linge.
Reminder of title:	a modern software approach /
Author:	Langtangen, Hans Petter.
other author:	Linge, Svein.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xxiii, 507 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Differential equations, Partial - Numerical solutions. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-55456-3
ISBN:	9783319554563

Finite difference computing with PDEs = a modern software approach /
Langtangen, Hans Petter.

Finite difference computing with PDEsa modern software approach /[electronic resource] :by Hans Petter Langtangen, Svein Linge. - Cham :Springer International Publishing :2017. - xxiii, 507 p. :ill., digital ;24 cm. - Texts in computational science and engineering,161611-0994 ;. - Texts in computational science and engineering ;6..

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.

ISBN: 9783319554563

Standard No.: 10.1007/978-3-319-55456-3doiSubjects--Topical Terms:

527938
Differential equations, Partial
--Numerical solutions.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Finite difference computing with PDEs = a modern software approach /
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505 0 $a Preface -- Vibration ODEs -- Wave Equations -- Diffusion equations -- Advection-dominated equations -- Nonlinear problems -- Useful formulas -- Truncation error analysis -- Software engineering: wave equation model -- References -- Index.
506 $a Open access.
520 $a 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.
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