Numerical Methods for Partial Differential Equations

Numerical Methods for Partial Differential Equations

3rd Edition - August 24, 1992

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  • Author: William Ames
  • eBook ISBN: 9780080571300

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This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations. The book contains many practical problems and their solutions, but at the same time, strives to expose the pitfalls--such as overstability, consistency requirements, and the danger of extrapolation to nonlinear problems methods used on linear problems. Numerical Methods for Partial Differential Equations, Third Edition reflects the great accomplishments that have taken place in scientific computation in the fifteen years since the Second Edition was published. This new edition is a drastic revision of the previous one, with new material on boundary elements, spectral methods, the methods of lines, and invariant methods. At the same time, the new edition retains the self-contained nature of the older version, and shares the clarity of its exposition and the integrity of its presentation.

Key Features

  • Material on finite elements and finite differences have been merged, and now constitute equal partners
  • Additional material has been added on boundary elements, spectral methods, the method of lines, and invariant methods
  • References have been updated, and reflect the additional material
  • Self-contained nature of the Second Edition has been maintained
  • Very suitable for PDE courses


Upper-level undergraduate and graduate students in science and engineering (textbook suited for a course in numerical analysis/partial differential equations), researchers, people in industry, and especially engineers.

Table of Contents

  • Fundamentals. Parabolic Equations. Elliptic Equations. Hyperbolic Equations. Special Topics. Author Index. Subject Index.

Product details

  • No. of pages: 451
  • Language: English
  • Copyright: © Academic Press 2014
  • Published: August 24, 1992
  • Imprint: Academic Press
  • eBook ISBN: 9780080571300

About the Author

William Ames

Affiliations and Expertise

Georgia Institute of Technology

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