Splines and Variational Methods

by P. M. Prenter

Overview

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.

Product Details

ISBN-13:	9780486783499
Publisher:	Dover Publications
Publication date:	11/26/2013
Series:	Dover Books on Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	336
File size:	25 MB
Note:	This product may take a few minutes to download.

Table of Contents

Introductory IdeasLagrangian InterpolatesHermitian InterpolatesPolynomial Splines and GeneralizationsApproximating Functions of Several VariablesFundamentals for Variational MethodsThe Finite Element MethodThe Method of CollocationGlossary of SymbolsIndex