Regularity properties of Runge-Kutta methods for ordinary differential equations

DOI10.1016/S0168-9274(96)00036-0zbMath0867.65042OpenAlexW2009407739MaRDI QIDQ5961745

Zdzisław Jackiewicz, Marino Zennaro, Rossana Vermiglio

Publication date: 4 August 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(96)00036-0

zbMATH Keywords

systemsRunge-Kutta methodstrong regularityorder conditions

Mathematics Subject Classification ID

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)

Related Items

Regularity properties of Runge-Kutta methods for delay differential equations, Regular Runge-Kutta pairs, Regularity properties of multistage integration methods, Regularity properties of one-leg methods for delay differential equations, Regularity properties of a class of hybrid methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equilibria of Runge-Kutta methods
• Bifurcations of hyperbolic fixed points for explicit Runge-Kutta methods
• Solving Ordinary Differential Equations I
• A Unified Approach to Spurious Solutions Introduced by Time Discretisation. Part I: Basic Theory
• Unified approach to spurious solutions introduced by time discretization Part II: BDF-like methods
• Stability and Dynamics of Numerical Methods for Nonlinear Ordinary Differential Equations