Splines and Variational Methods

Prenter, P. M.

ISBN 10: 0486469026 / ISBN 13: 9780486469027

Editore: DOVER PUBN INC, 2008

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Titolo: Splines and Variational Methods

Casa editrice: DOVER PUBN INC

Data di pubblicazione: 2008

Legatura: Softcover

Condizione: New

Descrizione articolo

Riassunto:

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.

Contenuti:

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