Convergence results for an inhomogeneous system arising in various high frequency approximations

DOI10.1007/s002110100309zbMath0994.65095OpenAlexW2024980090MaRDI QIDQ1348933

Laurent Gosse, François James

Publication date: 21 May 2002

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110100309

zbMATH Keywords

convergencewave equationviscosity solutionfinite difference schemeupwind schemesSchrödinger equationHelmholtz equationlinear transport equationduality solutionsLax-Friedrichs type schemesnonlinear Hamilton-Jacobi equation

Mathematics Subject Classification ID

Wave equation (35L05) First-order nonlinear hyperbolic equations (35L60) 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) NLS equations (nonlinear Schrödinger equations) (35Q55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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