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- W3190382835 abstract "Numerical integration is a classical problem emerging in many fields of science. Multivariate integration cannot be approached with classical methods due to the exponential growth of the number of quadrature nodes. We propose a method to overcome this problem. Tensor-train decomposition of a tensor approximating the integrand is constructed and used to evaluate a multivariate quadrature formula. We show how to deal with singularities in the integration domain and conduct theoretical analysis of the integration accuracy. The reference open-source implementation is provided." @default.
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- W3190382835 date "2021-07-01" @default.
- W3190382835 modified "2023-10-13" @default.
- W3190382835 title "Tensor-Train Numerical Integration of Multivariate Functions with Singularities" @default.
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- W3190382835 doi "https://doi.org/10.1134/s1995080221070258" @default.
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