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Computational Partial Differential Equations

Numerical Methods and Diffpack Programming

  • Textbook
  • © 1999

Overview

Authors:
  1. Hans Petter Langtangen

    1. Mechanics Division, Department of Mathematics, University of Oslo, Oslo, Norway

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  • The only textbook teaching computational PDEs together with Diffpack
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 2)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XXIII
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  2. Getting Started

    • Hans Petter Langtangen
    Pages 1-108

  3. Introduction to Finite Element Discretization

    • Hans Petter Langtangen
    Pages 109-211

  4. Programming of Finite Element Solvers

    • Hans Petter Langtangen
    Pages 213-334

  5. Nonlinear Problems

    • Hans Petter Langtangen
    Pages 335-366

  6. Solid Mechanics Applications

    • Hans Petter Langtangen
    Pages 367-401

  7. Fluid Mechanics Applications

    • Hans Petter Langtangen
    Pages 403-456

  8. Coupled Problems

    • Hans Petter Langtangen
    Pages 457-490

  9. Back Matter

    Pages 491-685
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Keywords

About this book

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.

Authors and Affiliations

  • Mechanics Division, Department of Mathematics, University of Oslo, Oslo, Norway

    Hans Petter Langtangen

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