Monotonicity for Runge-Kutta methods: inner product norms
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Publication:2572452
DOI10.1007/s10915-004-4789-1zbMath1078.65554OpenAlexW1984432912MaRDI QIDQ2572452
Publication date: 9 November 2005
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-004-4789-1
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
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Cites Work
- Stability radius of polynomials occurring in the numerical solution of initial value problems
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Contractivity of Runge-Kutta methods
- Strong stability preserving properties of Runge--Kutta time discretization methods for linear constant coefficient operators
- Two barriers on strong-stability-preserving time discretization methods
- On strong stability preserving time discretization methods
- Contractivity in the numerical solution of initial value problems
- Strong Stability-Preserving High-Order Time Discretization Methods
- From Semidiscrete to Fully Discrete: Stability of Runge--Kutta Schemes by The Energy Method
- 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
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