A Generalization of Algebraic Stability for Runge--Kutta Methods

DOI10.1093/imanum/4.4.427zbMath0557.65045OpenAlexW2042841636MaRDI QIDQ3221297

G. J. Cooper

Publication date: 1984

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/4.4.427

zbMATH Keywords

explicit Runge-Kutta methodsalgebraic stabilitynonlinear stiff problemscircle-contractive methodsmonotonic test problem

Mathematics Subject Classification ID

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

Related Items (10)

Embedded Additive Runge-Kutta Methods ⋮ A stability criterion for explicit boundary value 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 ⋮ Input-to-state stability for system identification with continuous-time Runge–Kutta neural networks ⋮ Reducibility and contractivity of Runge-Kutta methods revisited ⋮ Generalization of an input-to-state stability preserving Runge-Kutta method for nonlinear control systems ⋮ Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations ⋮ Algebraic stability and the existence of solutions of implicit Runge- Kutta equations ⋮ Reducible Runge-Kutta methods

This page was built for publication: A Generalization of Algebraic Stability for Runge--Kutta Methods