[Faculty] Fwd: [CSRC-SDSU COLLOQUIUM]: Geometric Numerical Integration and Computational Geometric Mechanics

[Jose Castillo]

*DATE: * Friday, January 24th, 2014

*TITLE:  *Geometric Numerical Integration and Computational Geometric
Mechanics

*TIME:*  3:30 PM

*LOCATION: * GMCS 214

*SPEAKER: * Dr. Melvin Leok, University of California, San Diego

Symmetry, and the study of invariant and equivariant objects, is a deep and
unifying principle underlying a variety of mathematical fields. In
particular, geometric mechanics is characterized by the application of
symmetry and differential geometric techniques to Lagrangian and
Hamiltonian mechanics, and geometric integration is concerned with the
construction of numerical methods with geometric invariant and equivariant
properties.
Computational geometric mechanics blends these fields, and uses a
self-consistent discretization of geometry and mechanics to systematically
construct geometric structure-preserving numerical schemes. In this talk,
we will introduce a systematic method of constructing geometric integrators
using ideas from geometric mechanics, and discuss generalizations that
allow one to systematically model complex hierarchical systems, flows on
Lie groups, and field theories.

*HOST:*  Dr. Jose Castillo

For future events, please visit our website at:

http://www.csrc.sdsu.edu/colloquium.html



-- 

Jose E. Castillo  Ph.D.

Director / Professor

Computational Science Research Center

5500 Campanile Dr

San Diego State University

San Diego CA 92182-1245

619 5947205/3430, Fax 619-594-2459

 http://www.csrc.sdsu.edu/mimetic-book/

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