Numerical integrators that contract volume
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
1998
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908600138465280 |
|---|---|
| author | McLachlan, Robert I Quispel, G R W |
| author_facet | McLachlan, Robert I Quispel, G R W |
| contents | We study numerical integrators that contract phase space volume even when the ODE does so at an arbitrarily small rate. This is done by a splitting into two-dimensional contractive systems. We prove a sufficient condition for Runge-Kutta methods to have the appropriate contraction property for these two-dimensional systems; the midpoint rule is an example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_9808115 |
| institution | arXiv |
| publishDate | 1998 |
| record_format | arxiv |
| spellingShingle | Numerical integrators that contract volume McLachlan, Robert I Quispel, G R W Numerical Analysis Dynamical Systems We study numerical integrators that contract phase space volume even when the ODE does so at an arbitrarily small rate. This is done by a splitting into two-dimensional contractive systems. We prove a sufficient condition for Runge-Kutta methods to have the appropriate contraction property for these two-dimensional systems; the midpoint rule is an example. |
| title | Numerical integrators that contract volume |
| topic | Numerical Analysis Dynamical Systems |
| url | https://arxiv.org/abs/math/9808115 |