A short note on the asymptotic stability of an oscillation-free eikonal splitting method

DOI10.1016/J.AML.2012.01.011zbMath1250.78032OpenAlexW2004272349MaRDI QIDQ452982

Qin Sheng, Leonel P. Gonzalez, Shekhar Guha

Publication date: 18 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.01.011

zbMATH Keywords

asymptotic stabilityfinite difference equationssplitting methodeikonal approximationhighly oscillatory waves

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (4)

Numerical stabilities study of a decomposed compact method for highly oscillatory Helmholtz equations ⋮ Asymptotic stability of a dual-scale compact method for approximating highly oscillatory Helmholtz solutions ⋮ An exponential transformation based splitting method for fast computations of highly oscillatory solutions ⋮ A continuing exploration of a decomposed compact method for highly oscillatory wave problems

Cites Work

• Transparent Boundary Conditions for Time-Dependent Problems
• Unnamed Item

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