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Two New Phase-Fitted Symplectic Partitioned Runge–Kutta Methods

Author

Listed:
  • 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;
    Laboratory of Computational Sciences, Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, GR-22 100 Tripolis, Greece)

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.

Suggested Citation

  • Th. Monovasilis & Z. Kalogiratou & T. E. Simos, 2011. "Two New Phase-Fitted Symplectic Partitioned Runge–Kutta Methods," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(12), pages 1343-1355.
    • Handle: RePEc:wsi:ijmpcx:v:22:y:2011:i:12:n:s0129183111016932
    DOI: 10.1142/S0129183111016932
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