Efficient SSP low-storage Runge-Kutta methods
DOI10.1016/j.cam.2019.112500zbMath1458.65085OpenAlexW2977071030MaRDI QIDQ2223817
Teo Roldán, Inmaculada Higueras
Publication date: 3 February 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.112500
initial value problemRunge-Kutta methodtotal variation diminishingstrong stability preservinglocal error termlow-storage method
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- On some new low storage implementations of time advancing Runge-Kutta methods
- High order strong stability preserving time discretizations
- Low-storage implicit/explicit Runge-Kutta schemes for the simulation of stiff high-dimensional ODE systems
- Runge-Kutta methods with minimum storage implementations
- Strong stability preserving explicit peer methods
- Strong stability of singly-diagonally-implicit Runge-Kutta methods
- Optimal implicit strong stability preserving Runge-Kutta methods
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Low-storage Runge-Kutta schemes
- Contractivity of Runge-Kutta methods
- Minimum storage Runge-Kutta schemes for computational acoustics.
- Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations
- Contractivity in the numerical solution of initial value problems
- Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods
- Optimized strong stability preserving IMEX Runge-Kutta methods
- Absolute monotonicity of polynomials occuring in the numerical solution of initial value problems
- Strong stability preserving integrating factor two-step Runge-Kutta methods
- New third order low-storage SSP explicit Runge-Kutta methods
- Strong Stability-Preserving High-Order Time Discretization Methods
- Explicit strong stability preserving multistep Runge–Kutta methods
- Strong Stability Preserving Two-step Runge–Kutta Methods
- Solving Ordinary Differential Equations I
- Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems
- Stepsize Restrictions for Stability of One-Step Methods in the Numerical Solution of Initial Value Problems
- Total-Variation-Diminishing Time Discretizations
- Total variation diminishing Runge-Kutta schemes
- Finite Volume Methods for Hyperbolic Problems
- Stepsize Restrictions for the Total-Variation-Diminishing Property in General Runge--Kutta Methods
- A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
- Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations
- Representations of Runge--Kutta Methods and Strong Stability Preserving Methods
- Global optimization of explicit strong-stability-preserving Runge-Kutta methods
- Strong Stability for Additive Runge–Kutta Methods
This page was built for publication: Efficient SSP low-storage Runge-Kutta methods