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
Roots of a Compact Lie Groupby Kristopher Tapp - arXiv
This expository article introduces the topic of roots in a compact Lie group. Compared to the many other treatments of this standard topic, I intended for mine to be relatively elementary, example-driven, and free of unnecessary abstractions.
(7800 views)
Introduction to Lie Groups and Lie Algebrasby Alexander Kirillov, Jr. - SUNY at Stony Brook
The book covers the basic contemporary theory of Lie groups and Lie algebras. This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.
(14711 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.
(10561 views)
Algebraic Groups, Lie Groups, and their Arithmetic Subgroupsby J. S. Milne
This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those in this book can all be realized as groups of matrices.
(12872 views)