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Finite difference computing with PDE...

Langtangen, Hans Petter.

Finite difference computing with PDEsa modern software approach /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Finite difference computing with PDEsby 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, PartialNumerical solutions.
Online resource:	http://dx.doi.org/10.1007/978-3-319-55456-3
ISBN:	9783319554563$q(electronic bk.)

Finite difference computing with PDEsa 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$q(electronic bk.)

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

185034
Differential equations, Partial
--Numerical solutions.

LC Class. No.: QA377

Dewey Class. No.: 515.353

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245 1 0 $a Finite difference computing with PDEs $h [electronic resource] : $b a modern software approach / $c by Hans Petter Langtangen, Svein Linge.
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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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