STRONG STABILITY PRESERVING MULTISTAGE INTEGRATION METHODS
DOI10.3846/13926292.2015.1085921zbMath1488.65175OpenAlexW1896227706MaRDI QIDQ5011257
Giuseppe Izzo, Zdzisław Jackiewicz
Publication date: 27 August 2021
Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3846/13926292.2015.1085921
monotonicitygeneral linear methodstwo-step Runge-Kutta methodsstrong stability preservingmultistage integration methods
Stability and convergence of numerical methods for ordinary differential equations (65L20) 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) Numerical methods for ordinary differential equations (65L99)
Related Items (13)
Cites Work
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- Construction of algebraically stable dimsims
- Explicit Nordsieck methods with quadratic stability
- Search for highly stable two-step Runge-Kutta methods
- Perturbed MEBDF methods
- Order conditions for general linear methods
- On high order strong stability preserving Runge-Kutta and multi step time discretizations
- High order strong stability preserving time discretizations
- General linear methods for \(y^{\prime\prime} = f(y(t))\)
- Strong stability preserving general linear methods
- Strong stability of singly-diagonally-implicit Runge-Kutta methods
- General linear methods for Volterra integral equations
- Optimal implicit strong stability preserving Runge-Kutta methods
- Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Convergence analysis of one-step schemes in the method of lines
- Contractivity of Runge-Kutta methods
- Two barriers on strong-stability-preserving time discretization methods
- On strong stability preserving time discretization methods
- Stepsize restrictions for total-variation-boundedness in general Runge--Kutta procedures
- A general framework for the numerical solution of second order odes
- Strong stability for Runge-Kutta schemes on a class of nonlinear problems
- Order conditions for general linear Nyström methods
- Optimal strong-stability-preserving time-stepping schemes with fast downwind spatial discretizations
- Two-step almost collocation methods for Volterra integral equations
- General linear methods with external stages of different orders
- Monotonicity for Runge-Kutta methods: inner product norms
- Strong Stability-Preserving High-Order Time Discretization Methods
- A PRACTICAL APPROACH FOR THE DERIVATION OF ALGEBRAICALLY STABLE TWO-STEP RUNGE-KUTTA METHODS
- Advances on Collocation Based Numerical Methods for Ordinary Differential Equations and Volterra Integral Equations
- Optimal Explicit Strong-Stability-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
- Non-linear stability of a general class of differential equation methods
- Computational Gasdynamics
- Total variation diminishing Runge-Kutta schemes
- 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
- The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error
- General Linear Methods for Volterra Integro-differential Equations with Memory
- Representations of Runge--Kutta Methods and Strong Stability Preserving Methods
- Highly Stable General Linear Methods for Differential Systems
- A family of Multistep Collocation Methods for Volterra Integro-Differential Equations
- General linear methods
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