On the practical importance of the SSP property for Runge-Kutta time integrators for some common Godunov-type schemes

DOI10.1002/fld.837zbMath1071.65121OpenAlexW2151731313MaRDI QIDQ4680383

Allen C. Robinson, David I. Ketcheson

Publication date: 1 June 2005

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.837

zbMATH Keywords

comparison of methods Euler equation Burgers' equation semidiscretization hyperbolic conservation laws Runge-Kutta methods numerical experiment Godunov method Riemann solvers central schemes Godunov total variation diminishing high-resolution strong stability preserving

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Uses Software

CWENO

Cites Work

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