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Functional Analysis and Approximation Theory in Numerical AnalysisFunctional Analysis and Approximation Theory in Numerical Analysis

R. S. Varga



CBMS-NSF Regional Conference Series in Applied Mathematics 3

Surveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of results and techniques from functional analysis and approximation theory to the field of numerical analysis.

Contents

L-Splines; Generalizations of L-Splines; Interpolation and Approximation Results from Piece-Wise Polynomials in Higher Dimensions; The Rayleigh-Ritz Galerkin Method for Nonlinear Boundary Value Problems; Fourier Analysis; Least Squares Methods; Eigenvalue Problems; Parabolic Problems; Chebyshev Semidiscrete Approximations for Linear Parabolic Problems.

1971 / v + 76 pages / Softcover / ISBN-13: 978-0-898710-03-8 / ISBN-10: 0-89871-003-0 /
List Price $37.50 / SIAM/CBMS Member Price $26.25 / Order Code CB03
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