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An Adapted Symplectic Integrator For Hamiltonian Problems

Author

Listed:
  • JESÚS VIGO-AGUIAR

    (Departamento de Matematica Aplicada, Facultad de Ciencias, Universidad de Salamanca, E37008 Salamanca, Spain)

  • T. E. SIMOS

    (Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece)

  • A. TOCINO

    (Departamento de Matemáticas, Facultad de Ciencias, Universidad de Salamanca, E37008 Salamanca, Spain)

Abstract

In this paper, a new procedure for deriving efficient symplectic integrators for Hamiltonian problems is introduced. This procedure is based on the combination of the trigonometric fitting technique and symplecticness conditions. Based on this procedure, a simple modified Runge–Kutta–Nyström second algebraic order trigonometrically fitted method is developed. We present explicity the symplecticity conditions for the new modified Runge–Kutta–Nyström method. Numerical results indicate that the new method is much more efficient than the "classical" symplectic Runge–Kutta–Nyström second algebraic order method introduced in Ref. 1.

Suggested Citation

  • Jesús Vigo-Aguiar & T. E. Simos & A. Tocino, 2001. "An Adapted Symplectic Integrator For Hamiltonian Problems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 225-234.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:02:n:s0129183101001626
    DOI: 10.1142/S0129183101001626
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