Strong stability preserving transformed DIMSIMs

DOI10.1016/j.cam.2018.03.018OpenAlexW2806991887MaRDI QIDQ1643831

Giuseppe Izzo, Zdzisław Jackiewicz

Publication date: 20 June 2018

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.2018.03.018

zbMATH Keywords

monotonicitygeneral linear methodsstrong stability preservingDIMSIMsconstruction of methodstransformed methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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 (14)

HIGH ORDER EXPLICIT SECOND DERIVATIVE METHODS WITH STRONG STABILITY PROPERTIES BASED ON TAYLOR SERIES CONDITIONS ⋮ Strong stability preserving implicit and implicit-explicit second derivative general linear methods with RK stability ⋮ Strong stability preserving general linear methods with Runge-Kutta stability ⋮ Transformed implicit-explicit second derivative diagonally implicit multistage integration methods with strong stability preserving explicit part ⋮ Strong stability preserving Runge-Kutta and linear multistep methods ⋮ RK-stable second derivative multistage methods with strong stability preserving based on Taylor series conditions ⋮ Strong stability preserving second derivative general linear methods based on Taylor series conditions for discontinuous Galerkin discretizations ⋮ Strong stability preserving second derivative general linear methods with Runge-Kutta stability ⋮ Strong stability preserving implicit-explicit transformed general linear methods ⋮ A new class of strong stability preserving general linear methods ⋮ Strong stability preserving second derivative diagonally implicit multistage integration methods ⋮ Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part ⋮ Strong stability preserving IMEX methods for partitioned systems of differential equations ⋮ Strong stability preserving second derivative general linear methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construction of algebraically stable dimsims
• Explicit Nordsieck methods with quadratic stability
• Search for highly stable two-step Runge-Kutta methods
• Optimal strong-stability-preserving Runge-Kutta time discretizations for discontinuous Galerkin methods
• Order conditions for general linear methods
• Nordsieck methods with computationally verified algebraic stability
• On high order strong stability preserving Runge-Kutta and multi step time discretizations
• High order strong stability preserving time discretizations
• Strong stability preserving general linear methods
• Strong stability preserving explicit peer methods
• Strong stability of singly-diagonally-implicit Runge-Kutta methods
• Optimal implicit strong stability preserving Runge-Kutta methods
• Inertia characteristics of self-adjoint matrix polynomials
• Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Diagonally-implicit multi-stage integration methods
• Construction of high order diagonally implicit multistage integration methods for ordinary differential equations
• Exploiting structure in the construction of DIMSIMs
• Diagonally implicit general linear methods for ordinary differential equations
• A nonlinear optimization approach to the construction of general linear methods of high order
• Nordsieck representation of DIMSIMs
• Strong stability preserving explicit peer methods for discontinuous Galerkin discretizations
• Strong stability preserving general linear methods with Runge-Kutta stability
• On strong stability preserving time discretization methods
• Stepsize restrictions for total-variation-boundedness in general Runge--Kutta procedures
• Numerical search for algebraically stable two-step almost collocation methods
• Starting procedures for general linear methods
• Search for efficient general linear methods for ordinary differential equations
• Order reduction phenomenon for general linear methods
• Strong stability for Runge-Kutta schemes on a class of nonlinear problems
• High-order linear multistep methods with general monotonicity and boundedness properties
• Optimal strong-stability-preserving time-stepping schemes with fast downwind spatial discretizations
• Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations
• Monotonicity for Runge-Kutta methods: inner product norms
• Strong Stability-Preserving High-Order Time Discretization Methods
• Strong Stability Preserving Explicit Runge--Kutta Methods of Maximal Effective Order
• CONSTRUCTION OF EFFICIENT GENERAL LINEAR METHODS FOR NON-STIFF DIFFERENTIAL SYSTEMS
• A PRACTICAL APPROACH FOR THE DERIVATION OF ALGEBRAICALLY STABLE TWO-STEP RUNGE-KUTTA METHODS
• Optimal Explicit Strong-Stability-Preserving General Linear Methods
• Computation of optimal monotonicity preserving general linear methods
• Strong Stability Preserving Two-step Runge–Kutta Methods
• On monotonicity and boundedness properties of linear multistep methods
• Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems
• Computational Gasdynamics
• Implementation of Diagonally Implicit Multistage Integration Methods for Ordinary Differential Equations
• Monotonicity-Preserving Linear Multistep Methods
• 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
• An extension and analysis of the Shu-Osher representation of Runge-Kutta methods
• A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential Equations
• OPTIMIZATION-BASED SEARCH FOR NORDSIECK METHODS OF HIGH ORDER WITH QUADRATIC STABILITY POLYNOMIALS
• EFFICIENT GENERAL LINEAR METHODS OF HIGH ORDER WITH INHERENT QUADRATIC STABILITY
• STRONG STABILITY PRESERVING MULTISTAGE INTEGRATION METHODS
• IMPLEMENTATION OF EXPLICIT NORDSIECK METHODS WITH INHERENT QUADRATIC STABILITY
• Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations
• Representations of Runge--Kutta Methods and Strong Stability Preserving Methods
• General linear methods

This page was built for publication: Strong stability preserving transformed DIMSIMs