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...
"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."
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