Newton-Cotes formulae for long-time integration

Journal of Computational and Applied Mathematics

Volumn 158, Issue 1, 2003, Pages 75-82

  Kalogiratou, Z ^a   Simos, T E ^b  

^a UNIVERSITY OF WESTERN MACEDONIA   (Greece)

^b UNIVERSITY OF PELOPONNESE   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; EQUATIONS OF MOTION; HAMILTONIANS; INTEGRATION; MULTILAYERS;

SYMPLECTIC INTEGRATORS;

DIFFERENTIATION (CALCULUS);

DIFFERENTIAL EQUATION; MATHEMATICAL METHOD;

EID: 0042785955     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(03)00479-5     Document Type: Article

References (5)

1. Arnold V. Mathematical methods of Classical Mechanics 1978 Springer New York
2. Chiou J.C. Wu S.D. Open Newton-Cotes differential methods as multilayer symplectic integrators J. Chem. Phys. 107 1997 6894-6897
3. Sanz-Serna J.M. Calvo M.P. Numerical Hamiltonian Problem 1994 Chapman - Hall London
4. T.E. Simos, Numerical Methods for 1D, 2D and 3D Differential Equations Arising in Chemical Problems, in: A. Hinchliffe (Ed.), Chemical Modelling: Applications and Theory, Roy. Soc. Chem., 2002, pp. 170-270.
5. Zhu W. Zhao X. Tang Y. Numerical methods with a high order of accuracy in the quantum system J. Chem. Phys. 104 1996 2275-2286