Geometric integration on spheres and some interesting applications

Mathematics – Numerical Analysis

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

This paper appeared in print

Scientific paper

10.1016/S0377-0427(02)00743-4

Geometric integration theory can be employed when numerically solving ODEs or PDEs with constraints. In this paper, we present several one-step algorithms of various orders for ODEs on a collection of spheres. To demonstrate the versatility of these algorithms, we present representative calculations for reduced free rigid body motion (a conservative ODE) and a discretization of micromagnetics (a dissipative PDE). We emphasize the role of isotropy in geometric integration and link numerical integration schemes to modern differential geometry through the use of partial connection forms; this theoretical framework generalizes moving frames and connections on principal bundles to manifolds with nonfree actions.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Geometric integration on spheres and some interesting applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric integration on spheres and some interesting applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric integration on spheres and some interesting applications will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-141217

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.