On the Convergence of Operator Splitting Applied to Conservation Laws with Source Terms

DOI10.1137/0733042zbMath0866.65059OpenAlexW2038873839WikidataQ114978713 ScholiaQ114978713MaRDI QIDQ4887023

Ragnar Winther, Aslak Tveito, Jan Olav Langseth

Publication date: 27 July 1997

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/697535c853621f82b4dbf6f919c6cbff2e450f89

zbMATH Keywords

stabilityconvergencewave equationconservation lawsnumerical examplesoperator splittingfirst order hyperbolic systemsdamping operatorsfar-field artificial boundariesslowing-down operators

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) 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)

Related Items (16)

Equilibrium schemes for scalar conservation laws with stiff sources ⋮ Numerical analysis of two operator splitting methods for an hyperbolic system of conservation laws with stiff relaxation terms ⋮ A unsplitting finite volume method for models with stiff relaxation source terms ⋮ Operator-Splitting on Hyperbolic Balance Laws ⋮ ERROR ESTIMATE FOR A SPLITTING METHOD APPLIED TO CONVECTION-REACTION EQUATIONS ⋮ Transient \(L^1\) error estimates for well-balanced schemes on non-resonant scalar balance laws ⋮ Zero-relaxation limit versus operator splitting for two-phase fluid flow computations ⋮ A class of Lagrangian-Eulerian shock-capturing schemes for first-order hyperbolic problems with forcing terms ⋮ A new finite volume approach for transport models and related applications with balancing source terms ⋮ An entropy admissible time splitting scheme for a conservation law model of manufacturing system ⋮ Splitting method applied to hyperbolic problem with source term ⋮ The corrected operator splitting approach applied to a nonlinear advection-diffusion problem ⋮ Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws ⋮ FRONT TRACKING FOR SCALAR BALANCE EQUATIONS ⋮ Convergence rates for semi-discrete splitting approximations for degenerate parabolic equations with source teams ⋮ A time-fractional step method for conservation law related obstacle problems

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