Exponential splitting for \(n\)-dimensional paraxial Helmholtz equation with high wavenumbers

DOI10.1016/J.CAMWA.2014.09.005zbMath1367.35069OpenAlexW1993988906MaRDI QIDQ2363838

Qin Sheng, Hai-Wei Sun

Publication date: 26 July 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.09.005

zbMATH Keywords

asymptotic stabilityhigh oscillationshigh wavenumberexponential splittingeikonal transformationparaxial Helmholtz equation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Stability of a modified Peaceman-Rachford method for the paraxial Helmholtz equation on adaptive grids ⋮ A unified derivation of finite-difference schemes from solution matching

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