On Mayfield's stability proof for the discretized transparent boundary condition for the parabolic equation

DOI10.1016/J.AML.2014.12.019zbMath1432.65124OpenAlexW2040840288MaRDI QIDQ2344459

Yanyan Li

Publication date: 15 May 2015

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

Full work available at URL: https://doi.org/10.1016/j.aml.2014.12.019

zbMATH Keywords

parabolic equationSchrödinger equationtransparent boundary conditionsnumerical stabilityMayfield condition

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Uses Software

• OASES

Cites Work

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• The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions
• Computational Ocean Acoustics
• Implementation of transparent boundaries for numerical solution of the Schröder equation.

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