Lie‐Poisson integrators: A Hamiltonian, variational approach
- 22 December 2009
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 82 (13) , 1609-1644
Abstract
No abstract availableKeywords
This publication has 12 references indexed in Scilit:
- Hamilton–Pontryagin Integrators on Lie Groups Part I: Introduction and Structure-Preserving PropertiesFoundations of Computational Mathematics, 2008
- Variational Principles for Lie—Poisson and Hamilton—Poincare EquationsMoscow Mathematical Journal, 2003
- Integrable decomposition methods and ensemble averaging for non-integrableN-vortex problemsJournal of Turbulence, 2002
- Discrete mechanics and variational integratorsActa Numerica, 2001
- The N-Vortex Problem2001
- Dynamics of Perturbed Relative Equilibria of Point Vortices on the Sphere or PlaneJournal of Nonlinear Science, 2000
- Discrete Euler-Poincaré and Lie-Poisson equationsNonlinearity, 1999
- Point vortices on a sphere: Stability of relative equilibriaJournal of Mathematical Physics, 1998
- Introduction to Mechanics and Symmetry1994
- Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integratorsPhysics Letters A, 1988