On the Accuracy of Fractional Step Methods for Conservation Laws in Two Dimensions

DOI10.1137/0731003zbMath0796.65100OpenAlexW1977145840MaRDI QIDQ4294756

Zhen-Huan Teng

Publication date: 10 October 1994

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

Full work available at URL: https://doi.org/10.1137/0731003

zbMATH Keywords

convergencenumerical experimentsRiemann problemserror estimatefractional step methodsscalar conservation lawsStrang's splitting methodGodunov's spatial splitting method

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

On exact dimensional splitting for a multidimensional scalar quasilinear hyperbolic conservation law ⋮ Convergence Rates of the Front Tracking Method for Conservation Laws in the Wasserstein Distances ⋮ Practical splitting methods for the adaptive integration of nonlinear evolution equations. II: Comparisons of local error estimation and step-selection strategies for nonlinear Schrödinger and wave equations ⋮ Operator-splitting methods for the 2D convective Cahn-Hilliard equation ⋮ Exponential splitting for unbounded operators ⋮ A system of conservation laws including a stiff relaxation term; the 2D case

This page was built for publication: On the Accuracy of Fractional Step Methods for Conservation Laws in Two Dimensions