Recursive Computation of Spherical Harmonic Rotation Coefficients of Large Degree

DOI10.1007/978-3-319-13230-3_5zbMath1325.65163arXiv1403.7698OpenAlexW1961528120MaRDI QIDQ2950248

Ramani Duraiswami, Nail A. Gumerov

Publication date: 8 October 2015

Published in: Excursions in Harmonic Analysis, Volume 3 (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7698

zbMATH Keywords

algorithmstabilityrotationnumerical examplesvon Neumann methodfast Fourier transformspherical harmonicsLaplace equationHelmholtz equationfinite difference schemesCourant-Friedrichs-Lewy conditionrecursions\(\mathrm{SO}(3)\)fast multipole methodsWigner \(d\)-matrix

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Finite difference methods for boundary value problems involving PDEs (65N06) Complexity and performance of numerical algorithms (65Y20) Spherical harmonics (33C55) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

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• A fast and stable method for rotating spherical harmonic expansions
• Diagonal forms of translation operators for the Helmholtz equation in three dimensions
• A wideband fast multipole method for the Helmholtz equation in three dimensions
• A fast spherical harmonics transform algorithm
• Recursions for the Computation of Multipole Translation and Rotation Coefficients for the 3-D Helmholtz Equation
• Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
• Addition theorems for spherical wave functions
• Accurate Image Rotation Using Hermite Expansions
• On the Partial Difference Equations of Mathematical Physics
• A fast algorithm for particle simulations

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