This work is designed as an introduction to the concepts of modern differential analysis applied to partial differential equations. It contains numerous practical problems/solutions. This third edition incorporates new material on boundary elements, spectral methods, the methods of lines and invariant methods. At the same time, the material on finite elements and finite differences have been merged and given equal weight. The text is suitable for PDE courses.

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"To reflect the growth in the literature on scientific computing since the second (1977) edition, this book is a drastic revision of that edition. Finite elements have been merged with the material on finite differences, and additional material has been added in the areas of boundary elements, spectral methods, the method of lines, and invariant methods. The self-contained nature of the previous editions has been maintained insofar as possible."--QUARTERLY OF APPLIED MATHEMATICS

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