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Finite Difference Computing with PDEs
A Modern Software Approach
Buch von Hans Petter Langtangen (u. a.)
Sprache: Englisch

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Beschreibung
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.

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.

Inhaltsverzeichnis
Preface.- Vibration ODEs.- Wave Equations.- Diffusion equations.- Advection-dominated equations.- Nonlinear problems.- Useful formulas.- Truncation error analysis.- Software engineering: wave equation model.- References.- Index.
Details
Erscheinungsjahr: 2017
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 507
Inhalt: xxiii
507 S.
150 s/w Illustr.
507 p. 150 illus.
ISBN-13: 9783319554556
ISBN-10: 3319554557
Sprache: Englisch
Herstellernummer: 978-3-319-55455-6
Autor: Langtangen, Hans Petter
Linge, Svein
Auflage: 1st ed. 2017
Hersteller: Springer
Springer, Berlin
Simula Research Laboratory
Springer International Publishing
University College of Southeast Norway
Abbildungen: XXIII, 507 p. 150 illus.
Maße: 36 x 183 x 262 mm
Von/Mit: Hans Petter Langtangen (u. a.)
Erscheinungsdatum: 07.07.2017
Gewicht: 1,165 kg
preigu-id: 109460849
Inhaltsverzeichnis
Preface.- Vibration ODEs.- Wave Equations.- Diffusion equations.- Advection-dominated equations.- Nonlinear problems.- Useful formulas.- Truncation error analysis.- Software engineering: wave equation model.- References.- Index.
Details
Erscheinungsjahr: 2017
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 507
Inhalt: xxiii
507 S.
150 s/w Illustr.
507 p. 150 illus.
ISBN-13: 9783319554556
ISBN-10: 3319554557
Sprache: Englisch
Herstellernummer: 978-3-319-55455-6
Autor: Langtangen, Hans Petter
Linge, Svein
Auflage: 1st ed. 2017
Hersteller: Springer
Springer, Berlin
Simula Research Laboratory
Springer International Publishing
University College of Southeast Norway
Abbildungen: XXIII, 507 p. 150 illus.
Maße: 36 x 183 x 262 mm
Von/Mit: Hans Petter Langtangen (u. a.)
Erscheinungsdatum: 07.07.2017
Gewicht: 1,165 kg
preigu-id: 109460849
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