A second-order TVD implicit-explicit finite volume method for time-dependent convection-reaction equations

DOI10.1016/j.matcom.2009.01.011zbMath1180.65110OpenAlexW2019070573MaRDI QIDQ1025327

Gianmarco Manzini

Publication date: 18 June 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.01.011

zbMATH Keywords

stabilityconvergenceconsistencyconservation lawslinear advection equationBurger's equationBuckley-Leverett equationconvection-reaction equationsimplicit-explicit time-stepping methodsshock-capturing non-oscillatory methodsstiff reaction termstotal-variation deminishing (TVD) Runge-Kutta scheme

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

A coupled implicit-explicit time integration method for compressible unsteady flows

Uses Software

• RODAS

Cites Work

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