Lie group methods

By E. Celledoni. 2009

429 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/5f7207b7586fb02fa2e55fe97be85ee0326bcdb5

How researchers see this paper

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1. Fernando Casas
2. Sergio Blanes
3. José Ángel Oteo
4. José Ros
5. Zdravko Terze
6. A. Müller
7. Dario Zlatar
8. Ronnie Kosloff

Citations in the corpus

• The Magnus expansion and some of its applications (2008, methodology): “If the matrix A(t) in (223) belongs to a Lie algebra g, the aim of Lie-group methods is to construct numerical solutions staying in the corresponding Lie group G [119].”
• On the Lie Enveloping Algebra of a Post-Lie Algebra (2014, unknown): “See [14] for a comprehensive review.”
• Lie-group integration method for constrained multibody systems in state space (2014, methodology): “where u(t) ∈ s is a solution of the ODE system in the Lie-algebra s [12, 13] u̇ = dexp−1 −u ( z(x, t) ) , u(0) = 0, (18)”