Name
Abstract | ||
|---|---|---|
We present a new family of one-step symplectic integration schemes for Hamiltonian systems of the general form $${\dot y=J^{-1}\nabla H(y)^T}$$. Such a class of methods contains as particular cases the methods of Miesbach and Pesch (Numer Math 61:501–521, 1992), and also the family of symplectic Runge-Kutta methods. As in the case of the methods introduced in Miesbach and Pesch (Numer Math 61:501–521, 1992), the new integration methods are constructed by defining a generating function, which automatically determines a symplectic map. The resulting methods are implicit, and require the evaluation of the gradient of the Hamiltonian function as well as the Hessian times a vector. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/s00211-009-0243-5 | Numerische Mathematik |
Keywords | Field | DocType |
new family,numer math,hamiltonian system,new integration method,generating function,hessian time,symplectic runge-kutta method,one-step symplectic integration scheme,new class,hamiltonian function,symplectic map,runge kutta method,symplectic integrator | Nabla symbol,Symplectic manifold,Mathematical analysis,Moment map,Symplectic geometry,Symplectic representation,Symplectic integrator,Hamiltonian mechanics,Symplectomorphism,Mathematics | Journal |
Volume | Issue | ISSN |
113 | 4 | 0945-3245 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. Makazaga | 1 | 11 | 2.53 |
| A. Murua | 2 | 110 | 25.21 |