
An Introduction to Lie Group Integrators
by E. Celledoni, H. Marthinsen, B. Owren
Publisher: arXiv 2012
Number of pages: 28
Description:
We give a short and elementary introduction to Lie group methods. A selection of applications of Lie group integrators are discussed. Finally, a family of symplectic integrators on cotangent bundles of Lie groups is presented and the notion of discrete gradient methods is generalised to Lie groups.
Download or read it online for free here:
Download link
(2.3MB, PDF)
Similar books
Lectures on Lie Groups and Representations of Locally Compact Groupsby F. Bruhat - Tata Institute of Fundamental Research
We consider some heterogeneous topics relating to Lie groups and the general theory of representations of locally compact groups. We have rigidly adhered to the analytic approach in establishing the relations between Lie groups and Lie algebras.
(12628 views)
An Elementary Introduction to Groups and Representationsby Brian C. Hall - arXiv
An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.
(21309 views)
Lecture Notes in Lie Groupsby Vladimir G. Ivancevic, Tijana T. Ivancevic - arXiv
These notes are designed for a 1-semester third year or graduate course in mathematics, physics, or biology. We give both physical and medical examples of Lie groups. The only necessary background are advanced calculus and linear algebra.
(11698 views)
Lie Groups in Physicsby G. 't Hooft, M. J. G. Veltman - Utrecht University
Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); etc.
(17619 views)