Error propagation in Runge-Kutta methods
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Publication:5961749
DOI10.1016/S0168-9274(96)00040-2zbMath0868.65044OpenAlexW1977093814MaRDI QIDQ5961749
Publication date: 14 July 1997
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0168-9274(96)00040-2
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) Error bounds for numerical methods for ordinary differential equations (65L70)
Related Items (1)
Cites Work
- Numerical methods and existence theorems for ordinary differential equations
- On resolvent conditions and stability estimates
- Sur la B-stabilité des méthodes de Runge-Kutta
- A note on B-stability of Runge-Kutta methods
- Contractivity of Runge-Kutta methods
- On the possibility of two-sided error bounds in the numerical solution of initial value problems
- Contractivity in the numerical solution of initial value problems
- Stiffness in numerical initial-value problems
- Convergence and stability of step-by-step methods for the numerical solution of initial-value problems
- Beiträge zur numerischen Integration. II. Der Fehler beim Runge-Kutta- Verfahren zur numerischen Integration gewöhnlicher Differentialgleichungen \(n\)-ter Ordnung
- Solving Ordinary Differential Equations I
- Convergence and stability in the numerical integration of ordinary differential equations
- Error Bounds for the Runge-Kutta Single-Step Integration Process
- A Generalization of a Theorem of Carr on Error Bounds for Rung-Kutta Procedures
- Stability Criteria for Implicit Runge–Kutta Methods
- On Rational Approximations of Semigroups
- On the structure of error estimates for finite-difference methods
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