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Explicit time-stepping for stiff ODEs

Kenneth Eriksson (Institutionen för beräkningsmatematik) ; Claes Johnson (Institutionen för beräkningsmatematik) ; Anders Logg (Institutionen för beräkningsmatematik)
SIAM Journal on Scientific Computing (1064-8275). Vol. 25 (2003), 4, p. 1142-1157.
[Artikel, refereegranskad vetenskaplig]

We present a new strategy for solving stiff ODEs with explicit methods. By adaptively taking a small number of stabilizing small explicit time steps when necessary, a stiff ODE system can be stabilized enough to allow for time steps much larger than what is indicated by classical stability analysis. For many stiff problems the cost of the stabilizing small time steps is small, so the improvement is large. We illustrate the technique on a number of well-known stiff test problems.

Nyckelord: Explicit Euler , Explicit methods , Galerkin methods , Stiff ODE



Denna post skapades 2014-01-05. Senast ändrad 2014-09-29.
CPL Pubid: 191155

 

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Institutioner (Chalmers)

Institutionen för beräkningsmatematik (2002-2004)

Ämnesområden

Matematik
Beräkningsmatematik

Chalmers infrastruktur