Time explicit schemes and spatial finite differences splittings

DOI10.1023/B:JOMP.0000008719.48134.4fzbMath1106.65320OpenAlexW2120716295MaRDI QIDQ1430235

D. Massart

Publication date: 27 May 2004

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:jomp.0000008719.48134.4f

zbMATH Keywords

stabilityBurgers equationfinite differencesincremental unknownsmultilevel schemes

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) 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) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

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Multiscale/fractional step schemes for the numerical simulation of the rotating shallow water flows with complex periodic topography ⋮ Stabilized times schemes for high accurate finite differences solutions of nonlinear parabolic equations ⋮ Multilevel schemes for the shallow water equations ⋮ Incremental unknowns method based on the \(\theta \)-scheme for time-dependent convection-diffusion equations ⋮ Damping, stabilization, and numerical filtering for the modeling and the simulation of time dependent PDEs ⋮ A stabilized bi-grid method for Allen-Cahn equation in finite elements

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