On error growth functions of Runge-Kutta methods
DOI10.1016/S0168-9274(96)00032-3zbMath0871.65071MaRDI QIDQ5961741
Publication date: 1 October 1997
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
asymptotic stabilityRunge-Kutta method\(B\)-stabilityerror growth functionstiff differential equationsuperexponential functions
Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Multiple scale methods for ordinary differential equations (34E13)
Related Items (9)
Uses Software
Cites Work
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- A note on B-stability of Runge-Kutta methods
- Solving Ordinary Differential Equations I
- Non-linear stability of a general class of differential equation methods
- Stability Criteria for Implicit Runge–Kutta Methods
- Model Problems in Numerical Stability Theory for Initial Value Problems
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