Two Families of Numerical Methods for Hamiltonian Systems:Implementation and Comparison
Seminars
On Tuesday, 26 April 2016 at 11.00 am in room 310 of LIT a seminar “Two Families of Numerical Methods for Hamiltonian Systems:Implementation and Comparison” will be held. Authors: Stefka Dimova, Tsvetan Bazlyankov (Faculty of Mathematics and Informatics, SU „St. Kl. Ohridski”, Bulgaria).
Speaker: Stefka Dimova (Faculty of Mathematics and Informatics, SU „St. Kl. Ohridski”, Bulgaria)
Abstract
Two families of symmetric and symplectic numerical methods for solving the Cauchy problem for Hamiltonian systems of equations – one-parameter family of two-stage Runge-Kutta methods and the family of Shoermer-Verlet methods – are implemented and analyzed. Their capabilities to maintain the important global properties of the exact solutions – conservation of the phase volume, the total momentum and the energy (in the absence of external forces) are compared.
Two families of symmetric and symplectic numerical methods for solving the Cauchy problem for Hamiltonian systems of equations – one-parameter family of two-stage Runge-Kutta methods and the family of Shoermer-Verlet methods – are implemented and analyzed. Their capabilities to maintain the important global properties of the exact solutions – conservation of the phase volume, the total momentum and the energy (in the absence of external forces) are compared.