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Finite Difference Computing with PDEs
A Modern Software Approach
Taschenbuch von Svein Linge (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.
Über den Autor

Svein Linge is a professor of modelling and simulation at the University College of Southeast Norway and holds a Dr. Scient. degree in biomechanics from the Norwegian School of Sport Sciences. He works part-time at a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory, to which he has been linked for the last 13 years. His main research interests includes cerebrospinal fluid dynamics, cardiac electro-mechanics and sport biomechanics. Over the last decade, Linge has been particularly engaged in reforming the engineering education in mathematics and physics to take advantage of computer programming and simulation.

Hans Petter Langtangen was a professor of computer science at the University of Oslo. He had formerly been a professor of mechanics and was the director of a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory. Langtangen published over 100 scientific publications and written several books, including papers and the bestseller TCSE 6 "A Primer on Scientific Programming with Python", now in its 5th edition. He also developed open source and commercial software systems for computational sciences. Hans Petter Langtangen passed away in October 2016.

Zusammenfassung

An easy-to-read text explaining the ideas behind finite

Uses fundamental PDEs to illustrate the path from algorithm to well-designed, complete computer code

Explains and demonstrates the skill of verifying computer code on the basis of numerous examples

Elaborates on artifacts in simulation results, further enhancing readers' understanding

Includes supplementary material: [...]

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: 2018
Fachbereich: EDV
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Reihe: Texts in Computational Science and Engineering
Inhalt: xxiii
507 S.
150 s/w Illustr.
507 p. 150 illus.
ISBN-13: 9783319856667
ISBN-10: 3319856669
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Linge, Svein
Langtangen, Hans Petter
Auflage: Softcover reprint of the original 1st ed. 2017
Hersteller: Springer International Publishing
Springer International Publishing AG
Texts in Computational Science and Engineering
Maße: 254 x 178 x 29 mm
Von/Mit: Svein Linge (u. a.)
Erscheinungsdatum: 01.08.2018
Gewicht: 0,989 kg
Artikel-ID: 114238972
Über den Autor

Svein Linge is a professor of modelling and simulation at the University College of Southeast Norway and holds a Dr. Scient. degree in biomechanics from the Norwegian School of Sport Sciences. He works part-time at a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory, to which he has been linked for the last 13 years. His main research interests includes cerebrospinal fluid dynamics, cardiac electro-mechanics and sport biomechanics. Over the last decade, Linge has been particularly engaged in reforming the engineering education in mathematics and physics to take advantage of computer programming and simulation.

Hans Petter Langtangen was a professor of computer science at the University of Oslo. He had formerly been a professor of mechanics and was the director of a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory. Langtangen published over 100 scientific publications and written several books, including papers and the bestseller TCSE 6 "A Primer on Scientific Programming with Python", now in its 5th edition. He also developed open source and commercial software systems for computational sciences. Hans Petter Langtangen passed away in October 2016.

Zusammenfassung

An easy-to-read text explaining the ideas behind finite

Uses fundamental PDEs to illustrate the path from algorithm to well-designed, complete computer code

Explains and demonstrates the skill of verifying computer code on the basis of numerous examples

Elaborates on artifacts in simulation results, further enhancing readers' understanding

Includes supplementary material: [...]

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: 2018
Fachbereich: EDV
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Reihe: Texts in Computational Science and Engineering
Inhalt: xxiii
507 S.
150 s/w Illustr.
507 p. 150 illus.
ISBN-13: 9783319856667
ISBN-10: 3319856669
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Linge, Svein
Langtangen, Hans Petter
Auflage: Softcover reprint of the original 1st ed. 2017
Hersteller: Springer International Publishing
Springer International Publishing AG
Texts in Computational Science and Engineering
Maße: 254 x 178 x 29 mm
Von/Mit: Svein Linge (u. a.)
Erscheinungsdatum: 01.08.2018
Gewicht: 0,989 kg
Artikel-ID: 114238972
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