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math.NA2006
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings III: Frames
Stephan Dahlke, Erich Novak, Winfried Sickel
We study the optimal approximation of the solution of an operator equation by certain n-term approximations with respect to specific classes of frames. We study worst case errors a…
math.NA2006
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II
Stephan Dahlke, Erich Novak, Winfried Sickel
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 b…
math.NA2006
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings I
Stephan Dahlke, Erich Novak, Winfried Sickel
We study the optimal approximation of the solution of an operator equation Au=f by linear and nonlinear mappings.