This volume represents an introduction to the numerical solution of boundary value problems by variational methods, with special emphasis placed on the finite element and collocation methods. Assuming only the elements of linear algebra and analysis, Prenter presents just the necessary Hilbert space theory and abstract functional analytic concepts before developing the use of splines as a fine approximating tool. This work remains one of the clearest introductions to variational methods and includes powerful applictions of approximation theoretic notions to very applied problems. The work will be of benefit to engineers as well as pure and applied mathematicians.
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