Texts in Computational Science and Engineering
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Finite Difference Computing with PDEs

A Modern Software Approach

Autoren: Langtangen, Hans Petter, Linge, Svein

Vorschau
  • 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
Weitere Vorteile

Dieses Buch kaufen

eBook  
  • ISBN 978-3-319-55456-3
  • Dieses Buch ist ein Open Access Buch und ist frei zugänglich auf link.springer.com
Hardcover 53,49 €
Preis für Deutschland (Brutto)
Softcover 53,49 €
Preis für Deutschland (Brutto)
Über dieses Lehrbuch

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 die Autor*innen

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.

 

Inhaltsverzeichnis (5 Kapitel)

Inhaltsverzeichnis (5 Kapitel)
  • Vibration ODEs

    Seiten 1-92

    Linge, Svein (et al.)

  • Wave Equations

    Seiten 93-205

    Linge, Svein (et al.)

  • Diffusion Equations

    Seiten 207-322

    Linge, Svein (et al.)

  • Advection-Dominated Equations

    Seiten 323-351

    Linge, Svein (et al.)

  • Nonlinear Problems

    Seiten 353-407

    Linge, Svein (et al.)

Dieses Buch kaufen

eBook  
  • ISBN 978-3-319-55456-3
  • Dieses Buch ist ein Open Access Buch und ist frei zugänglich auf link.springer.com
Hardcover 53,49 €
Preis für Deutschland (Brutto)
Softcover 53,49 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Finite Difference Computing with PDEs
Buchuntertitel
A Modern Software Approach
Autoren
Titel der Buchreihe
Texts in Computational Science and Engineering
Buchreihen Band
16
Copyright
2017
Verlag
Springer International Publishing
Copyright Inhaber
The Editor(s) (if applicable) and The Author(s)
eBook ISBN
978-3-319-55456-3
DOI
10.1007/978-3-319-55456-3
Hardcover ISBN
978-3-319-55455-6
Softcover ISBN
978-3-319-85666-7
Buchreihen ISSN
1611-0994
Auflage
1
Seitenzahl
XXIII, 507
Anzahl der Bilder
150 schwarz-weiß Abbildungen
Themen