Splines and Variational Methods

This classic work, on the numerical solution of boundary value problems by variational methods with special emphasis on the finite element and collocation methods, is now available in an unabridged paperback edition. 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 applications of approximation theoretic notions to very applied problems.

One of the clearest available introductions to variational methods, this text requires only a minimal background in calculus and linear algebra. Its self-contained treatment explains the application of theoretic notions to the kinds of physical problems that engineers regularly encounter.The text's first half concerns approximation theoretic notions, exploring the theory and computation of one- and two-dimensional polynomial and other spline functions. Later chapters examine variational methods in the solution of operator equations, focusing on boundary value problems in one and two dimensions. Additional topics include least squares and other Galerkin methods. Many helpful definitions, examples, and exercises appear throughout the book. A classic reference in spline theory, this volume will benefit experts as well as students of engineering and mathematics.Dover (2008) unabridged republication of the edition published by John Wiley & Sons, Inc., New York, 1975. 336pp. 61/8 x 91/4. Paperbound.ALSO AVAILABLEIntroduction to Numerical Analysis, F. B. Hildebrand. 669pp. 53/8 x 81/2. 0-486-65363-3The Finite Element Method, Thomas J. R. Hughes. 672pp. 61/2 x 91/4. 0-486-41181-8Finite Elements and Approximation, O. C. Zienkiewicz and K. Morgan. 352pp. 53/8 x 81/2. 0-486-45301-4For current price information write to Dover Publications, or log on to www.doverpublications.com and see every Dover book in print.