Error bounding functions for Runge-Kutta methods
From MaRDI portal
Publication:1121647
DOI10.1016/0168-9274(89)90022-6zbMath0674.65038OpenAlexW2159231077MaRDI QIDQ1121647
Publication date: 1989
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0168-9274(89)90022-6
error boundsRunge-Kutta methodsstiff differential equationsalgebraic stabilityB-convergenceC-stability
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Algebraic stability and the existence of solutions of implicit Runge- Kutta equations
- Reducible Runge-Kutta methods
- Sur la B-stabilité des méthodes de Runge-Kutta
- A note on B-stability of Runge-Kutta methods
- On the existence of solutions to the algebraic equations in implicit Runge-Kutta methods
- On the Existence of Solutions for Algebraically Stable Runge—Kutta Methods
- Stability Properties of Implicit Runge–Kutta Methods
- Order Results for Implicit Runge–Kutta Methods Applied to Stiff Systems
- Non-linear stability of a general class of differential equation methods
- The Concept of B-Convergence
- A stability property of implicit Runge-Kutta methods
- Stability Criteria for Implicit Runge–Kutta Methods
- The automatic integration of ordinary differential equations
- A special stability problem for linear multistep methods