Name
Abstract | ||
|---|---|---|
Inspired by the theory of modified equations ( backward error analysis), a new approach to high-order, structure-preserving numerical integrators for ordinary differential equations is developed. This approach is illustrated with the implicit midpoint rule applied to the full dynamics of the free rigid body. Special attention is paid to methods represented as B-series, for which explicit formulae for the modified differential equation are given. A new composition law on B-series, called substitution law, is presented. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1090/S0025-5718-07-01967-9 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
geometric numerical integration,modified differential equation,backward error analysis,modifying integrator,rigid body integrator,B-series,substitution law. | Numerical methods for ordinary differential equations,Explicit and implicit methods,Exponential integrator,Mathematical analysis,Numerical partial differential equations,Differential algebraic equation,Backward differentiation formula,Integrating factor,Collocation method,Mathematics | Journal |
Volume | Issue | ISSN |
76 | 260 | 0025-5718 |
Citations | PageRank | References |
5 | 0.73 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| P. Chartier | 1 | 144 | 29.70 |
| Ernst Hairer | 2 | 237 | 51.27 |
| Gilles Vilmart | 3 | 65 | 11.76 |