Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II

Details Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II

2006-06-20

arxiv.org/abs/math/0606503v1

Mathematics

Numerical Analysis

Journal of Complexity, to appear. It is a long paper: 69 pages

Scientific paper

We study the optimal approximation of the solution of an operator equation
Au=f by linear and nonlinear mappings.
We identify those cases where optimal nonlinear approximation is better than
optimal linear approximation.

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