Fast adaptive algorithms in the non-standard form for multidimensional problems

DOI10.1016/j.acha.2007.08.001zbMath1139.65078arXiv0706.0747OpenAlexW2109796866MaRDI QIDQ2425385

Vani Cheruvu, Gregory Beylkin, Fernando Pérez-González

Publication date: 5 May 2008

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

Full work available at URL: https://arxiv.org/abs/0706.0747

zbMATH Keywords

numerical examplesSchrödinger equationsPoisson equationadaptive algorithmsintegral operatorsfast multipole methodmultiwaveletsseparated representationmultiresolution algorithmradially symmetric kernels

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) PDEs in connection with quantum mechanics (35Q40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (10)

Multiresolution separated representations of singular and weakly singular operators ⋮ On representations of the Helmholtz Green's function ⋮ Kinetic energy-free Hartree-Fock equations: an integral formulation ⋮ Multiresolution representation of operators with boundary conditions on simple domains ⋮ Fast algorithms for Helmholtz Green's functions ⋮ Efficient convolution with the Newton potential in \(d\) dimensions ⋮ Approximation by exponential sums revisited ⋮ Fast convolution with the free space Helmholtz Green's function ⋮ MADNESS: A Multiresolution, Adaptive Numerical Environment for Scientific Simulation ⋮ On computing distributions of products of random variables via Gaussian multiresolution analysis

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