Name
Abstract | ||
|---|---|---|
We construct numerical integrators for differential equations up to order 12 obtained by composition of basic integrators. The following cases are considered: (i) composition for a system separable in two solvable parts, (ii) composition using as basic methods a first-order integrator and its adjoint, (iii) composition using second-order symmetric methods, and (iv) composition using fourth-order symmetric methods. Each scheme is implemented with a processor or corrector to improve their efficiency, and this can be done virtually cost-free. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1137/030601223 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
first-order integrator,numerical integrator,system separable,basic integrator,composition methods,second-order symmetric method,differential equation,following case,geometric integrators,differential equations,initial value problems,solvable part,cheap postpro- cessor,processing technique,fourth-order symmetric method,basic method,first order,initial value problem,second order,numerical integration | Differential equation,Exponential integrator,Mathematical analysis,Geometric integrator,Separable space,Integrator,Initial value problem,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
27 | 6 | 1064-8275 |
Citations | PageRank | References |
5 | 0.97 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| S. Blanes | 1 | 42 | 10.47 |
| Fernando Casas | 2 | 74 | 18.30 |
| A. Murua | 3 | 110 | 25.21 |