Symplectic Partitioned Runge-Kutta Methods with Minimum Phase Lag - Case of 5 Stages

Journal Article · Thu Sep 30 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3498574· OSTI ID:21428617

Monovasilis, Th ^[1]; Kalogiratou, Z ^[2]; Simos, T E ^[3]

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1. Department of International Trade, Technological Educational Institution of Western Macedonia at Kastoria, Kastoria, P.O. Box. 30, 52100 (Greece)
2. Department of Informatics and Computer Technology, Technological Educational Institution of Western Macedonia at Kastoria, Kastoria, P.O. Box. 30, 52100 (Greece)
3. Department of Computer Science and Technology, Faculty of Science and Technology, University of Peloponnese (Greece)

In this work we consider explicit Symplectic Partitioned Runge-Kutta methods (SPRK) with five stages for problems with separable Hamiltonian. We construct a new method with constant coefficients third algebraic order and eighth phase-lag order.

• OSTI ID: 21428617
• Journal Information: AIP Conference Proceedings, Vol. 1281, Issue 1; Conference: ICNAAM 2010: International conference of numerical analysis and applied mathematics 2010, Rhodes (Greece), 19-25 Sep 2009; Other Information: DOI: 10.1063/1.3498574; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
HAMILTONIANS
INTEGRAL EQUATIONS
MATRICES
RUNGE-KUTTA METHOD
SCHROEDINGER EQUATION
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
ITERATIVE METHODS
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
MATHEMATICS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
WAVE EQUATIONS