Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators I. Separable approximation of multi-variate functions (Q817039)
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scientific article; zbMATH DE number 5009650
| Language | Label | Description | Also known as |
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| English | Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators I. Separable approximation of multi-variate functions |
scientific article; zbMATH DE number 5009650 |
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Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators I. Separable approximation of multi-variate functions (English)
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2 March 2006
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The authors investigate several methods of separable approximation of multivariate functions for low rank Kronecker product approximation to multi-dimensional nonlocal operators, which approximations provide the base for a tensor product representation of the operators. The asymptotically optimal sinc quadratures, sinc interpolation methods and the best approximations by exponential sums are discussed. Numerical results are presented. [For part II see ibid. 76, No.~3--4, 203--225 (2006; reviewed below).]
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hierarchical matrices
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Kronecker tensor product
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sine interpolation
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sinc quadrature
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approximation by exponential sums
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multi-dimensional nonlocal operators
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numerical results
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0.86587584
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0.86365056
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