Name
Abstract | ||
|---|---|---|
The number of conditions to be satisfied by the operators K and P in symplectic integrators with processing, given by ePe-hKe-P, is determined for a Hamiltonian of the form $H={\cal A}+{\cal B}$. The conditions for $K$ are explicitly written up to order six and used to obtain more efficient methods with fewer evaluations per step than other symplectic integrators. Special cases in which the number of conditions for the kernel is drastically reduced are also studied. It is shown that the kernel completely determines the optimal method one can obtain by processing. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1137/S1064827598332497 | SIAM Journal on Scientific Computing |
Keywords | Field | DocType |
initial value problems,symplectic integrators,processing technique,Hamiltonian systems | Symplectic manifold,Mathematical analysis,Moment map,Hamiltonian system,Symplectic geometry,Pure mathematics,Symplectic representation,Symplectic integrator,Operator (computer programming),Lie algebra,Calculus,Mathematics | Journal |
Volume | Issue | ISSN |
21 | 2 | 1064-8275 |
Citations | PageRank | References |
11 | 1.95 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| S. Blanes | 1 | 42 | 10.47 |
| Fernando Casas | 2 | 74 | 18.30 |
| José Ros | 3 | 13 | 2.35 |