# Journal article

## Projective and Coarse Projective Integration for Problems with Continuous Symmetries

Abstract:

Temporal integration of equations possessing continuous symmetries (e.g. systems with translational invariance associated with traveling solutions and scale invariance associated with self-similar solutions) in a co-evolving'' frame (i.e. a frame which is co-traveling, co-collapsing or co-exploding with the evolving solution) leads to improved accuracy because of the smaller time derivative in the new spatial frame. The slower time behavior permits the use of {\it projective} and {\it coars...

Publication status:
Published

### Access Document

Publisher copy:
10.1016/j.jcp.2006.12.003

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
J. Comput. Physics
Volume:
225
Issue:
1
Pages:
382-407
Publication date:
2006-08-04
DOI:
EISSN:
1090-2716
ISSN:
0021-9991
Language:
English
Keywords:
Pubs id:
pubs:9220
UUID:
Local pid:
pubs:9220
Source identifiers:
9220
Deposit date:
2012-12-19