Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1086.65120
Tocino, A.; Vigo-Aguiar, J.
Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods. (English)
[J] Math. Comput. Modelling 42, No. 7-8, 873-876 (2005). ISSN 0895-7177

Summary: Symplecticity conditions easy to handle for constructing symplectic Runge-Kutta-Nyström methods fitted to trigonometric functions are given. These conditions generalize that of {\it Yu. B. Suris} [Zh. Vychisl. Mat. Mat. Fiz. 29, No.~2, 202--211 (1989; Zbl 0686.65039)] when the frequencies tends to zero.

MSC 2000:: *65P10 Hamiltonian systems including symplectic integrators
37M15 Symplectic integrators
65L06 Multistep, Runge-Kutta, and extrapolation methods
34A26 Geometric methods in differential equations
34A34 Nonlinear ODE and systems, general
65L05 Initial value problems for ODE (numerical methods)

Keywords: symplectic integrators; exponential fitting; symplectic Runge-Kutta-Nyström methods

Citations: Zbl 0686.65039

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]