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Title: An introduction to Lie group integrators – basics, new developments and applications

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.
Authors:
 [1] ;  [1] ;  [1]
  1. Department of Mathematical Sciences, NTNU, N-7491 Trondheim (Norway)
Publication Date:
OSTI Identifier:
22230854
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 257; Journal Issue: Part B; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CALCULATION METHODS; INTEGRALS; LIE GROUPS; MATHEMATICAL SOLUTIONS