On an L-stable method for stiff differential equations
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Publication:1259886
DOI10.1016/0020-0190(77)90014-XzbMath0412.65037MaRDI QIDQ1259886
Publication date: 1977
Published in: Information Processing Letters (Search for Journal in Brave)
ordinary differential equationsnumerical testsnumerical solutionstiff systemfifth-order L-stable method
Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)
Related Items (10)
A Note on the Rosenbrock Procedure ⋮ Numerical methods for extremely stiff systems of ordinary differential equations ⋮ On the computational aspects for Rosenbrock procedures with built-in error estimates for stiff systems ⋮ On the internal S-stability of Rosenbrock methods ⋮ Comments on : T.D. Bui, On an L-stable method for stiff differential equations ⋮ Solving stiff differential equations for simulation ⋮ An L(alpha)-stable fourth order Rosenbrock method with error estimator ⋮ A strongly A-stable time integration method for solving the nonlinear reaction-diffusion equation ⋮ Qualitative analysis of differential, difference equations, and dynamic equations on time scales ⋮ On minimum configuration Rosenbrock methods
Cites Work
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- On the implementation of implicit Runge-Kutta methods
- An Efficient Solution Process for Implicit Runge–Kutta Methods
- High order a-stable methods for the numerical solution of systems of D.E.'s
- Implicit integration processes with error estimate for the numerical solution of differential equations
- The automatic integration of ordinary differential equations
- Second Derivative Multistep Methods for Stiff Ordinary Differential Equations
- Implicit Runge-Kutta Processes
- A special stability problem for linear multistep methods
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