Directional approximation of the Jacobians in row-methods
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Publication:2640326
DOI10.1007/BF01952786zbMath0719.65065MaRDI QIDQ2640326
Publication date: 1991
Published in: BIT (Search for Journal in Brave)
Rosenbrock methodsorder conditionsstiff problemsNumerical testsdirectional approximation of the Jacobiansrow-methods
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) Multiple scale methods for ordinary differential equations (34E13)
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Cites Work
- Rosenbrock methods for stiff ODEs: A comparison of Richardson extrapolation and embedding technique
- Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
- Order conditions for Rosenbrock type methods
- A Class of Runge-Kutta-Rosenbrock Methods for Solving Stiff Differential Equations
- An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations
- On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
- A special family of Runge-Kutta methods for solving stiff differential equations
- Coefficients for the study of Runge-Kutta integration processes
