Explicit finite difference schemes with extended stability for advection equations

DOI10.1016/j.cam.2011.04.028zbMath1245.65107OpenAlexW1980561535MaRDI QIDQ432783

Andrei Bourchtein, Lioudmila Bourchtein

Publication date: 4 July 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.04.028

zbMATH Keywords

numerical experimentsdifference schemesadvection equationexplicit schemesatmospheric modelsextended stability

Mathematics Subject Classification ID

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) Meteorology and atmospheric physics (86A10) First-order hyperbolic systems (35L40)

Related Items (3)

An \textit{a posteriori} strategy for adaptive schemes in time for one-dimensional advection-diffusion transport equations ⋮ High-order compact difference methods for solving two-dimensional nonlinear wave equations ⋮ High-order compact LOD methods for solving high-dimensional advection equations

Cites Work

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• New stability theorems concerning one-step numerical methods for ordinary differential equations
• The development of Runge-Kutta methods for partial differential equations

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