Lecture Notes in Computational Science and Engineering

Computational Partial Differential Equations

Numerical Methods and Diffpack Programming

Authors: Langtangen, Hans Petter

  • The only textbook teaching computational PDEs together with Diffpack

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-662-01170-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
About this Textbook

During the last decades there has been a tremendous advancement of com­ puter hardware, numerical algorithms, and scientific software. Engineers and scientists are now equipped with tools that make it possible to explore real­ world applications of high complexity by means of mathematical models and computer simulation. Experimentation based on numerical simulation has become fundamental in engineering and many of the traditional sciences. A common feature of mathematical models in physics, geology, astrophysics, mechanics, geophysics, as weH as in most engineering disciplines, is the ap­ pearance of systems of partial differential equations (PDEs). This text aims at equipping the reader with tools and skills for formulating solution methods for PDEs and producing associated running code. Successful problem solving by means of mathematical models inscience and engineering often demands a synthesis of knowledge from several fields. Besides the physical application itself, one must master the tools of math­ ematical modeling, numerical methods, as weH as software design and im­ plementation. In addition, physical experiments or field measurements might play an important role in the derivation and the validation of models. This book is written in the spirit of computational sciences as inter-disciplinary activities. Although it would be attractive to integrate subjects like mathe­ matics, physics, numerics, and software in book form, few readers would have the necessary broad background to approach such a text.

Table of contents (7 chapters)

  • Getting Started

    Langtangen, Hans Petter

    Pages 1-108

  • Introduction to Finite Element Discretization

    Langtangen, Hans Petter

    Pages 109-211

  • Programming of Finite Element Solvers

    Langtangen, Hans Petter

    Pages 213-334

  • Nonlinear Problems

    Langtangen, Hans Petter

    Pages 335-366

  • Solid Mechanics Applications

    Langtangen, Hans Petter

    Pages 367-401

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-662-01170-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Computational Partial Differential Equations
Book Subtitle
Numerical Methods and Diffpack Programming
Authors
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
2
Copyright
1999
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-01170-6
DOI
10.1007/978-3-662-01170-6
Series ISSN
1439-7358
Edition Number
1
Number of Pages
XXIII, 685
Topics