Projection methods

M. A. Krasnosel’skii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii and V. Ya. Stetsenko

Chapter 4 in Approximate Solution of Operator Equations, 1972, pp 199-321 from Springer

Abstract: Abstract In the preceding chapters, we studied various iterative methods for the approximate solution of operator equations. This chapter is devoted to approximate methods based on an essentially new idea: First “approximate” the equation, then determine an exact solution of the “approximating” equation. The structure of the approximating equation usually aims at reducing its solution to that of a finite system of scalar equations.

Keywords: Banach Space; Orthogonal Projection; Galerkin Method; Projection Method; Compact Operator (search for similar items in EconPapers)
Date: 1972
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DOI: 10.1007/978-94-010-2715-1_4

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