Some numerical methods for stiff problems. (English) Zbl 1032.65512

Butcher, J. C.

Simos, T. E. (ed.), Computational methods in sciences and engineering 2003 (ICCMSE 2003). Proceedings of the international conference, Kastoria, Greece, September 12-16, 2003. River Edge, NJ: World Scientific. 93-97 (2003).

For the entire collection see [Zbl 1024.00041].

MSC:

65L06	Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65L05	Numerical methods for initial value problems involving ordinary differential equations
34A34	Nonlinear ordinary differential equations and systems
65L20	Stability and convergence of numerical methods for ordinary differential equations

Keywords:

stiff problems; backward difference methods; algorithms; Runge-Kutta methods; singly implicit methods; general linear methods; stability