Explicit time-stepping for stiff ODEs
Artikel i vetenskaplig tidskrift, 2003

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.

Explicit Euler

Galerkin methods

Stiff ODE

Explicit methods

Författare

Kenneth Eriksson

Göteborgs universitet

Chalmers, Institutionen för beräkningsmatematik

Claes Johnson

Göteborgs universitet

Chalmers, Institutionen för beräkningsmatematik

Anders Logg

Chalmers, Institutionen för beräkningsmatematik

Göteborgs universitet

SIAM Journal of Scientific Computing

1064-8275 (ISSN) 1095-7197 (eISSN)

Vol. 25 1142-1157

Ämneskategorier

Matematik

Beräkningsmatematik

DOI

10.1137/S1064827502409626