Multiresolution representation of operators with boundary conditions on simple domains

DOI10.1016/j.acha.2011.10.001zbMath1241.42027OpenAlexW2018676439WikidataQ56866684 ScholiaQ56866684MaRDI QIDQ427078

Christopher Kurcz, Lucas Monzón, Gregory Beylkin, Robert J. Harrison, George I. Fann

Publication date: 13 June 2012

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2011.10.001

zbMATH Keywords

Hilbert transformperiodic boundary conditionsmultiresolutionseparated representationsnon-oscillatory Helmholtz Green's functionnon-standard formPoisson Green's functionprojector on divergence free functions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)

Related Items (8)

Approximation of solutions to multidimensional parabolic equations by approximate approximations ⋮ Imposing boundary and interface conditions in multi-resolution wavelet Galerkin method for numerical solution of Helmholtz problems ⋮ On representations of the Helmholtz Green's function ⋮ Reduction of multivariate mixtures and its applications ⋮ Fast cubature of volume potentials over rectangular domains by approximate approximations ⋮ Fast cubature of high dimensional biharmonic potential based on approximate approximations ⋮ Randomized interpolative decomposition of separated representations ⋮ On computing distributions of products of random variables via Gaussian multiresolution analysis

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