Comparison of boundedness and monotonicity properties of one-leg and linear multistep methods
DOI10.1016/j.cam.2014.10.025zbMath1306.65228OpenAlexW2013213909MaRDI QIDQ482681
A. Mozartova, Igor Savostianov, Willem H. Hundsdorfer
Publication date: 6 January 2015
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.2014.10.025
monotonicityboundednessinitial value problemmethod of linesmultistep methodsstrong-stability-preservingone-leg method
Nonlinear parabolic equations (35K55) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
Uses Software
Cites Work
- Stepsize restrictions for boundedness and monotonicity of multistep methods
- Special boundedness properties in numerical initial value problems
- Positivity for explicit two-step methods in linear multistep and one-leg form
- Contractivity of Runge-Kutta methods
- Stepsize Conditions for Boundedness in Numerical Initial Value Problems
- Solving Ordinary Differential Equations I
- On monotonicity and boundedness properties of linear multistep methods
- Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems
- Monotonicity-Preserving Linear Multistep Methods
- An extension and analysis of the Shu-Osher representation of Runge-Kutta methods
- Representations of Runge--Kutta Methods and Strong Stability Preserving Methods
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