Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations
نویسندگان
چکیده
منابع مشابه
Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations
A recurring theme in attempts to break the curse of dimensionality in the numerical approximations of solutions to high-dimensional partial differential equations (PDEs) is to employ some form of sparse tensor approximation. Unfortunately, there are only a few results that quantify the possible advantages of such an approach. This paper introduces a class Σn of functions, which can be written a...
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ژورنال
عنوان ژورنال: Foundations of Computational Mathematics
سال: 2015
ISSN: 1615-3375,1615-3383
DOI: 10.1007/s10208-015-9265-9