Accurate cubature of volume potentials over high-dimensional half-spaces

DOI10.1007/s10958-011-0267-0zbMath1223.65017OpenAlexW1973830153MaRDI QIDQ549540

Gunther Schmidt, Flavia Lanzara, Vladimir Gilelevich Maz'ya

Publication date: 18 July 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0267-0

zbMATH Keywords

numerical experimentsharmonic potentialsingular kernelsconvolution integral operatorsapproximate approximationssemi-analytic cubature

Mathematics Subject Classification ID

Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (8)

Approximation of solutions to multidimensional parabolic equations by approximate approximations ⋮ PMA celebrates the 85th birthday of V. G. Maz'ya ⋮ Approximation of solutions to equations in static thermoelasticity ⋮ A fast solution method for time dependent multidimensional Schrödinger equations ⋮ 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 ⋮ ON THE COMPUTATION OF HIGH‐DIMENSIONAL POTENTIALS OF ADVECTION–DIFFUSION OPERATORS

Cites Work

• Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension
• Extension of the range of a differentiable function
• On the fast computation of high dimensional volume potentials

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