Implicit and implicit-explicit strong stability preserving Runge-Kutta methods with high linear order
From MaRDI portal
Publication:1691390
DOI10.1007/s10915-017-0560-2zbMath1381.65052arXiv1702.04621OpenAlexW2588794862MaRDI QIDQ1691390
John N. Shadid, Zachary J. Grant, Sigal Gottlieb, Sidafa Conde
Publication date: 16 January 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.04621
numerical exampleconservation lawsemidiscretizationimplicit Runge-Kutta methodsimplicit-explicit Runge-Kutta methodsstrong stability preserving methods
Nonlinear ordinary differential equations and systems (34A34) Hyperbolic conservation laws (35L65) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items
The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation ⋮ Embedded pairs for optimal explicit strong stability preserving Runge-Kutta methods ⋮ Strong Stability Preserving Integrating Factor Runge--Kutta Methods ⋮ TVD-MOOD schemes based on implicit-explicit time integration ⋮ Implicit-Explicit Runge-Kutta-Rosenbrock Methods with Error Analysis for Nonlinear Stiff Differential Equations ⋮ Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions ⋮ Transformed implicit-explicit second derivative diagonally implicit multistage integration methods with strong stability preserving explicit part ⋮ Strong stability preserving integrating factor general linear methods ⋮ Implicit and implicit-explicit strong stability preserving Runge-Kutta methods with high linear order ⋮ High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge--Kutta Methods with Asymptotic Preserving Properties ⋮ A comparative analysis of explicit, IMEX and implicit strong stability preserving Runge-Kutta schemes ⋮ Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation ⋮ On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation ⋮ Second-order implicit-explicit total variation diminishing schemes for the Euler system in the low Mach regime ⋮ Optimal monotonicity-preserving perturbations of a given Runge-Kutta method ⋮ Implicit-Explicit Multirate Infinitesimal GARK Methods ⋮ Strong stability preserving integrating factor two-step Runge-Kutta methods ⋮ A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations ⋮ Strong stability preserving IMEX methods for partitioned systems of differential equations ⋮ An Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for solving convection and convection-diffusion equations
Uses Software
Cites Work
- Unnamed Item
- Explicit strong stability preserving multistage two-derivative time-stepping schemes
- Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics
- Optimal strong-stability-preserving Runge-Kutta time discretizations for discontinuous Galerkin methods
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- Characterizing strong stability preserving additive Runge-Kutta methods
- Runge-Kutta methods with minimum storage implementations
- Optimal implicit strong stability preserving Runge-Kutta methods
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Une méthode multipas implicite-explicite pour l'approximation des équations d'évolution paraboliques
- Contractivity of Runge-Kutta methods
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- Two barriers on strong-stability-preserving time discretization methods
- Implicit and implicit-explicit strong stability preserving Runge-Kutta methods with high linear order
- On strong stability preserving time discretization methods
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Optimized strong stability preserving IMEX Runge-Kutta methods
- Strong Stability Preserving Two-step Runge–Kutta Methods
- Total-Variation-Diminishing Time Discretizations
- 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
- An extension and analysis of the Shu-Osher representation of Runge-Kutta methods
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
- Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations
- Optimal explicit strong stability preserving Runge–Kutta methods with high linear order and optimal nonlinear order
- Representations of Runge--Kutta Methods and Strong Stability Preserving Methods
- Strong Stability for Additive Runge–Kutta Methods
- Numerical Methods for Ordinary Differential Equations
- Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations
