A Lie group integrator is a numerical integration method for differential equations built from coordinate-independent operations such as Lie group actions...

Baker–Campbell–Hausdorff formula Glossary of Lie groups and Lie algebras List of Lie groups topics Lie group integrator "Lie’s lasting achievements are the great...

influential for Lie theory since it paved the way to the generalisation of Lie third theorem for Lie groupoids and Lie algebroids. Lie group integrator Jean-Pierre...

In mathematics, a Poisson–Lie group is a Poisson manifold that is also a Lie group, with the group multiplication being compatible with the Poisson algebra...

differential equations Runge–Kutta method (SDE) General linear methods Lie group integrator "Runge-Kutta method". Dictionary.com. Retrieved 4 April 2021. DEVRIES...

algebras are closely related to Lie groups, which are groups that are also smooth manifolds: every Lie group gives rise to a Lie algebra, which is the tangent...

integration scheme for the system; two steps of this evolution are equivalent to the formula above for q 2 {\displaystyle q_{2}} Lie group integrator...

Lie groups form a class of topological groups, and the compact Lie groups have a particularly well-developed theory. Basic examples of compact Lie groups...

algebra Symplectic geometry Symplectic group, and corresponding symplectic Lie algebra Symplectic integrator Symplectic manifold Symplectic matrix Symplectic...

Parallel parking problem Pfaffian constraint Udwadia–Kalaba equation Lie group integrator Soltakhanov Yushkov Zegzhda, Sh.Kh Mikhail S. (May 2009). Mechanics...