Name
Abstract | ||
|---|---|---|
In this paper we present a technique for reducing to a minimum the number of commutators required in the practical implementation of Lie group methods for integrating numerically matrix differential equations. This technique is subsequently applied to the linear and nonlinear case for constructing new geometric integrators, optimal with respect to the number of commutators. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1016/S0167-739X(02)00160-7 | Future Generation Comp. Syst. |
Keywords | Field | DocType |
geometric integration,lie group solvers,magnus expansion,nonlinear case,new geometric integrator,practical implementation,lie group method,matrix differential equation,lie group,differential equation | Applied mathematics,Lie group,Nonlinear system,Magnus expansion,Computer science,Lie derivative,Geometric analysis,Lie bracket of vector fields,Lie theory,Adjoint representation,Distributed computing | Journal |
Volume | Issue | ISSN |
19 | 3 | Future Generation Computer Systems |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| S. Blanes | 1 | 42 | 10.47 |
| Fernando Casas | 2 | 74 | 18.30 |