中文

Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II

数值分析 2025-10-20 v1 数值分析

摘要

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.

关键词

引用

@article{arxiv.math/0606503,
  title  = {Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II},
  author = {Stephan Dahlke and Erich Novak and Winfried Sickel},
  journal= {arXiv preprint arXiv:math/0606503},
  year   = {2025}
}

备注

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