On the optimal CFL number of SSP methods for hyperbolic problems
DOI10.1016/j.apnum.2018.08.015zbMath1406.65079OpenAlexW2888806111WikidataQ129334447 ScholiaQ129334447MaRDI QIDQ1615852
Lilia Krivodonova, Andrew Giuliani
Publication date: 31 October 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10012/14042
stabilitymethod of lineshyperbolic conservation lawsCFL conditionstrong stability preserving methods
Hyperbolic conservation laws (35L65) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (3)
Cites Work
- Unnamed Item
- On the positivity of matrix-vector products
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
- Computations of slowly moving shocks
- On the positivity step size threshold of Runge--Kutta methods
- An analysis of the spectrum of the discontinuous Galerkin method
- Analysis of slope limiters on unstructured triangular meshes
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- An analysis of the spectrum of the discontinuous Galerkin method. II: Nonuniform grids
- Monotonicity for Runge-Kutta methods: inner product norms
- Strong Stability-Preserving High-Order Time Discretization Methods
- High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
- Total-Variation-Diminishing Time Discretizations
- Total variation diminishing Runge-Kutta schemes
- Finite Volume Methods for Hyperbolic Problems
This page was built for publication: On the optimal CFL number of SSP methods for hyperbolic problems