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Book/Printed Material Finite Difference Computing with PDEs : A Modern Software Approach

About this Item

Title

  • Finite Difference Computing with PDEs : A Modern Software Approach

Summary

  • 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.

Names

  • Langtangen, Hans Petter, author.
  • Linge, Svein, author.

Created / Published

  • Cham : Springer International Publishing : Imprint: Springer, 2017.

Contents

  • Preface -- Vibration ODEs -- Wave Equations -- Diffusion equations -- Advection-dominated equations -- Nonlinear problems -- Useful formulas -- Truncation error analysis -- Software engineering: wave equation model -- References -- Index.

Headings

  • -  Computer mathematics
  • -  Computer science--Mathematics
  • -  Numerical analysis
  • -  Computational Science and Engineering
  • -  Mathematical Applications in Computer Science
  • -  Numeric Computing

Notes

  • -  Description based on publisher-supplied MARC data.
  • -  Mathematics and Statistics (R0) (SpringerNature-43713)
  • -  Mathematics and Statistics (SpringerNature-11649)

Medium

  • 1 online resource (XXIII, 507 pages 150 illustrations)

Digital Id

Library of Congress Control Number

  • 2019765094

Rights Advisory

Access Advisory

  • Unrestricted online access
  • Open Access

Online Format

  • image
  • epub

Additional Metadata Formats

Rights & Access

The books in this collection are licensed under open access licenses allowing for the reuse and distribution of each book following the terms described in each license. Researchers should consult the Rights Advisory statement for each title and the accompanying license details for information about rights and permissions associated with each of the licenses.

More about Copyright and other Restrictions.

Cite This Item

Citations are generated automatically from bibliographic data as a convenience, and may not be complete or accurate.

Chicago citation style:

Langtangen, Hans Petter, Author, and Svein Linge. Finite Difference Computing with PDEs: A Modern Software Approach. Cham: Springer International Publishing: Imprint: Springer, 2017. Image. https://www.loc.gov/item/2019765094/.

APA citation style:

Langtangen, H. P. & Linge, S. (2017) Finite Difference Computing with PDEs: A Modern Software Approach. Cham: Springer International Publishing: Imprint: Springer. [Image] Retrieved from the Library of Congress, https://www.loc.gov/item/2019765094/.

MLA citation style:

Langtangen, Hans Petter, Author, and Svein Linge. Finite Difference Computing with PDEs: A Modern Software Approach. Cham: Springer International Publishing: Imprint: Springer, 2017. Image. Retrieved from the Library of Congress, <www.loc.gov/item/2019765094/>.