Characterizing strong stability preserving additive Runge-Kutta methods

DOI10.1007/s10915-008-9252-2zbMath1203.65109OpenAlexW1989778970MaRDI QIDQ618332

Inmaculada Higueras

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9252-2

zbMATH Keywords

SSPRunge-Kuttastrong stability preservingadditive Runge-Kuttanonnegative coefficientsabsolutely monotonicradius of absolute monotonicity

Mathematics Subject Classification ID

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 (11)

Higher-order additive Runge-Kutta schemes for ordinary differential equations ⋮ On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws ⋮ 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 ⋮ Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics ⋮ Numerical study of two-species chemotaxis models ⋮ 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 ⋮ Optimized strong stability preserving IMEX Runge-Kutta methods ⋮ A new class of strong stability preserving general linear methods ⋮ A strong stability preserving analysis for explicit multistage two-derivative time-stepping schemes based on Taylor series conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On high order strong stability preserving Runge-Kutta and multi step time discretizations
• Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
• 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
• 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
• On strong stability preserving time discretization methods
• Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows
• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
• Multirate timestepping methods for hyperbolic conservation laws
• Strong Stability-Preserving High-Order Time Discretization Methods
• A positive splitting method for mixed hyperbolic-parabolic systems
• Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems
• Total-Variation-Diminishing Time Discretizations
• Total variation diminishing Runge-Kutta schemes
• High-Order Strong-Stability-Preserving Runge--Kutta Methods with Downwind-Biased Spatial 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
• 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: Characterizing strong stability preserving additive Runge-Kutta methods