Projective and Coarse Projective Integration for Problems with Continuous Symmetries

Journal article

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...

Expand abstract

Authors: Kavousanakis, M; Erban, R; Boudouvis, A; Gear, C; Kevrekidis, I

• Publication status: Published
• Journal: J. Comput. Physics
• Volume: 225
• Issue: 1
• Pages: 382-407
• Publication date: 2006-08-04
• DOI: 10.1016/j.jcp.2006.12.003
• EISSN: 1090-2716
• ISSN: 0021-9991
• Language: English
• Keywords: physics.comp-ph; math.DS