On representations of the Helmholtz Green's function

DOI10.1016/j.acha.2024.101633arXiv2308.01289OpenAlexW4391179391WikidataQ129496413 ScholiaQ129496413MaRDI QIDQ6122633

Gregory Beylkin

Publication date: 1 March 2024

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

Full work available at URL: https://arxiv.org/abs/2308.01289

zbMATH Keywords

free space Helmholtz Green's functionoscillatory and non-oscillatory componentsrepresentation via a linear combination of Gaussians

Mathematics Subject Classification ID

Numerical analysis (65-XX) Quantum theory (81-XX)

Cites Work

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• Multiresolution representation of operators with boundary conditions on simple domains
• Fast convolution with the free space Helmholtz Green's function
• A new version of the fast Gauss transform
• Approximation by exponential sums revisited
• Multiresolution separated representations of singular and weakly singular operators
• Fast adaptive algorithms in the non-standard form for multidimensional problems
• MADNESS: A Multiresolution, Adaptive Numerical Environment for Scientific Simulation
• Evaluation of Layer Potentials Close to the Boundary for Laplace and Helmholtz Problems on Analytic Planar Domains
• Approximating a wavefunction as an unconstrained sum of Slater determinants
• Fast algorithms for Helmholtz Green's functions
• Adaptive algorithm for electronic structure calculations using reduction of Gaussian mixtures
• Algorithms for Numerical Analysis in High Dimensions
• The Fast Gauss Transform

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