Rational functions with maximal radius of absolute monotonicity
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Publication:5170256
DOI10.1112/S1461157013000326zbMath1291.65222arXiv1303.6651MaRDI QIDQ5170256
Lajos Lóczi, David I. Ketcheson
Publication date: 23 July 2014
Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.6651
Symbolic computation and algebraic computation (68W30) Approximation by rational functions (41A20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)
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Cites Work
- Strong stability of singly-diagonally-implicit Runge-Kutta methods
- Optimal implicit strong stability preserving Runge-Kutta methods
- Absolute monotonicity of rational functions occurring in the numerical solution of initial value problems
- Contractivity of Runge-Kutta methods
- Contractivity in the numerical solution of initial value problems
- Absolute monotonicity of polynomials occuring in the numerical solution of initial value problems
- Computation of optimal monotonicity preserving general linear methods
- Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques
- Numerical Methods for Ordinary Differential Equations
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