High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge--Kutta Methods with Asymptotic Preserving Properties

DOI10.1137/21m1403175zbMath1522.65120arXiv2102.11939OpenAlexW3190071640MaRDI QIDQ6172662

Zachary J. Grant, Ruiwen Shu, Sigal Gottlieb, Jingwei Hu

Publication date: 20 July 2023

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.11939

zbMATH Keywords

high orderpositivity preservingasymptotic preservingimplicit-explicit schemestrong stability preservingmulti-derivative

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (8)

Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space ⋮ TVD-MOOD schemes based on implicit-explicit time integration ⋮ Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions ⋮ Jacobian-free implicit MDRK methods for stiff systems of ODEs ⋮ Strong stability-preserving three-derivative Runge-Kutta methods ⋮ An explicitness-preserving IMEX-split multiderivative method ⋮ Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system ⋮ Stability of implicit multiderivative deferred correction methods

Cites Work

• Unnamed Item
• Unnamed Item
• Explicit strong stability preserving multistage two-derivative time-stepping schemes
• Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
• On maximum-principle-satisfying high order schemes for scalar conservation laws
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• The Boltzmann equation and its applications
• Implicit and implicit-explicit strong stability preserving Runge-Kutta methods with high linear order
• A strong stability preserving analysis for explicit multistage two-derivative time-stepping schemes based on Taylor series conditions
• Strong Stability-Preserving High-Order Time Discretization Methods
• Asymptotic Preserving Implicit-Explicit Runge--Kutta Methods for Nonlinear Kinetic Equations
• A second-order asymptotic-preserving and positivity-preserving discontinuous Galerkin scheme for the Kerr–Debye model
• Step Sizes for Strong Stability Preservation with Downwind-Biased Operators
• Total-Variation-Diminishing Time Discretizations
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation
• Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
• Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
• A Second-Order Asymptotic-Preserving and Positivity-Preserving Exponential Runge--Kutta Method for a Class of Stiff Kinetic Equations
• Implicit-Explicit Linear Multistep Methods for Stiff Kinetic Equations
• Shock Structure in a Simple Discrete Velocity Gas
• Strong Stability for Additive Runge–Kutta Methods
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

This page was built for publication: High Order Strong Stability Preserving MultiDerivative Implicit and IMEX Runge--Kutta Methods with Asymptotic Preserving Properties