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

Ergenc, T; Karasozen, BÜLENT

doi:10.1080/00207169608804525

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

Atıf İçin Kopyala

Ergenc T., Karasozen B.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.62, ss.63-71, 1996 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 62
Basım Tarihi: 1996
Doi Numarası: 10.1080/00207169608804525
Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.63-71
Orta Doğu Teknik Üniversitesi Adresli: Evet

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.