Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions

DOI10.1137/060657017zbMath1171.65099OpenAlexW2079932812MaRDI QIDQ5320732

Boris N. Khoromskij, Wolfgang Hackbusch

Publication date: 22 July 2009

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060657017

zbMATH Keywords

Green's functionsexponential convergenceintegral operatorshierarchical matriceshigh dimensionsSinc approximationKronecker tensor-productnegative powers of elliptic operatorstensor-rank decompositions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Spaces of operators; tensor products; approximation properties (46B28) Integral operators (45P05) Tensor products of linear operators (47A80)

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On the fast computation of high dimensional volume potentials ⋮ Approximation of solutions to multidimensional parabolic equations by approximate approximations ⋮ Fast cubature of volume potentials over rectangular domains by approximate approximations ⋮ Fast cubature of high dimensional biharmonic potential based on approximate approximations ⋮ Approximate approximations: recent developments in the computation of high dimensional potentials ⋮ A literature survey of low-rank tensor approximation techniques

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