Name
Title | ||
|---|---|---|
Raising the order of geometric numerical integrators by composition and extrapolation |
Abstract | ||
|---|---|---|
We analyse composition and polynomial extrapolation as procedures to raise the order of a geometric integrator for solving numerically differential equations. Methods up to order sixteen are constructed starting with basic symmetric schemes of order six and eight. If these are geometric integrators, then the new methods obtained by extrapolation preserve the geometric properties up to a higher order than the order of the method itself. We show that, for a number of problems, this is a very efficient procedure to obtain high accuracy. The relative performance of the different algorithms is examined on several numerical experiments. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s11075-004-5884-y | Numerical Algorithms |
Keywords | DocType | Volume |
geometric integration,composition methods,processing,extrapolation | Journal | 38 |
Issue | ISSN | Citations |
4 | 1017-1398 | 2 |
PageRank | References | Authors |
1.03 | 7 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sergio Blanes | 1 | 52 | 10.17 |
| Fernando Casas | 2 | 74 | 18.30 |