Translation operators based on Gaussian beams for the fast multipole method in two dimensions

DOI10.1016/J.WAVEMOTI.2013.02.004zbMath1454.35060OpenAlexW4243082456MaRDI QIDQ1756402

Thorkild B. Hansen

Publication date: 14 January 2019

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2013.02.004

zbMATH Keywords

fast multipole methodGaussian beamstranslation operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (3)

Conformal array realizations of the near and far fields of a complex point source ⋮ Array realization of complex-source beam ⋮ SVD solutions to inverse source problems in the time domain: application to complex point sources

Uses Software

• DLMF

Cites Work

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