Algebraic stability and the existence of solutions of implicit Runge- Kutta equations

DOI10.1007/BF01934382zbMath0584.65047MaRDI QIDQ1069676

G. J. Cooper

Publication date: 1985

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

algebraic stabilityirreducible Runge-Kutta method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Error bounding functions for Runge-Kutta methods, The existence and uniqueness of solutions for the nonlinear algebraic equations in implicit r-k methods, The existence and uniqueness of solutions for the nonlinear algebraic equations in implicit R-K methods, A note on contractivity in the numerical solution of initial value problems

Cites Work

• Sur la B-stabilité des méthodes de Runge-Kutta
• On the existence of solutions to the algebraic equations in implicit Runge-Kutta methods
• Reducibility and contractivity of Runge-Kutta methods revisited
• A Generalization of Algebraic Stability for Runge--Kutta Methods
• Non-linear stability of a general class of differential equation methods
• Stability Criteria for Implicit Runge–Kutta Methods