TWO NEW PHASE-FITTED SYMPLECTIC PARTITIONED RUNGE–KUTTA METHODS

Th. Monovasilis, Z. Kalogiratou and T. E. Simos ()
Additional contact information
Th. Monovasilis: Department of International Trade, Technological Educational Institute of Western Macedonia at Kastoria, P. O. Box 30, GR-521 00, Kastoria, Greece
Z. Kalogiratou: Department of Informatics and Computer Technology, Technological Educational Institute of Western Macedonia at Kastoria, P. O. Box 30, GR-521 00, Kastoria, Greece
T. E. Simos: Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia;

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 12, 1343-1355

Abstract: New symplectic Partitioned Runge–Kutta (SPRK) methods with phase-lag of order infinity are derived in this paper. Specifically two new symplectic methods are constructed with second and third algebraic order. The methods are tested on the numerical integration of Hamiltonian problems and on the estimation of the eigenvalues of the Schrödinger equation.

Keywords: Symplectic partitioned Runge–Kutta methods; Hamiltonian problems; Schrödinger equation; phase-fitting; 02.60; 02.70.Bf; 95.10.Ce; 95.10.Eg; 95.75.Pq (search for similar items in EconPapers)
Date: 2011
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183111016932
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:22:y:2011:i:12:n:s0129183111016932

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183111016932

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().