Runge-Kutta collocation methods for rigid body Lie-Poisson equations


Ergenc T., Karasozen B.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.62, ss.63-71, 1996 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 62
  • Basım Tarihi: 1996
  • Doi Numarası: 10.1080/00207169608804525
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Sayfa Sayıları: ss.63-71

Özet

The rigid body Lie-Poisson structure in three dimensions is considered. We show that the symplectic collocation type Runge-Kutta methods preserve the one-form of the underlying system. The linear error growth, energy and momentum conservation properties of the numerical solutions are discussed for Euler top equation.