Adams methods
From CFD-Wiki
(Difference between revisions)
(His name is Adam) |
m (John Couch Adams) |
||
Line 1: | Line 1: | ||
- | + | Adams' methods are a subset of the family of multistep methods used for the numerical integration of initial value problems in ODEs. Multistep methods benefit from the fact that the computations have been going on for some time, and use previously computed values of the solution (BDF methods), or the right hand side (Adams' methods), to approximate the solution at the next step. | |
Adams' methods begin by the integral approach, | Adams' methods begin by the integral approach, |
Revision as of 03:23, 10 December 2005
Adams' methods are a subset of the family of multistep methods used for the numerical integration of initial value problems in ODEs. Multistep methods benefit from the fact that the computations have been going on for some time, and use previously computed values of the solution (BDF methods), or the right hand side (Adams' methods), to approximate the solution at the next step.
Adams' methods begin by the integral approach,
Since is unknown in the interval
to
it is approximated by an interpolating polynomial
using the previously computed steps
and the current step at
if an implicit method is desired.