Splines and Variational Methods - Prenter, P M

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Résumé :
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.

Sommaire:
Introductory Ideas Lagrangian Interpolates Hermitian Interpolates Polynomial Splines and Generalizations Approximating Functions of Several Variables Fundamentals for Variational Methods The Finite Element Method The Method of Collocation Glossary of Symbols Index