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math.AP2015
Approximation of high-dimensional parametric PDEs
Albert Cohen, Ronald Devore
Parametrized families of PDEs arise in various contexts such as inverse problems, control and optimization, risk assessment, and uncertainty quantification. In most of these applic…
math.AP2015
Kolmogorov widths under holomorphic mappings
Albert Cohen, Ronald Devore
If is a bounded linear operator mapping the Banach space into the Banach space and is a compact set in , then the Kolmogorov widths of the image do not ex…