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MA 273A Advanced Techniques in Computational Mathematics - Geometric Numerical Integration

Fall 2016

TTh 2:00pm-3:20pm, APM 2402.

Materials simulation Satellite cluster Space shuttle Galaxy Molecular 
simulation

Instructor

Final Presentation Schedule

The final presentations will be held on Thursday, December 8, between 3:00pm and 6:00pm, in APM 2402. The schedule is as follows:
Time Slot Student Title
3:00pm-3:20pm Nelson Hua Geometric Integration Techniques in Molecular and Spin Dynamic Systems
3:20pm-3:40pm Brian Tran Finite Element Exterior Calculus for Lagrangian Field Theories
3:40pm-4:00pm David Lenz Symplectic-Momentum and Energy-Momentum methods applied to the Fermi-Pasta-Ulam Problem
4:00pm-4:20pm Sarah Moody Symplectic splitting methods for molecular dynamics and backward error analysis
4:20pm-4:40pm Sean Bearden Investigation of the XY model for persistent homology analysis of phase transition
4:40pm-5:00pm Olof Delight Variational integrators applied to the double spherical pendulum
5:00pm-5:20pm Aleksandr Ayvazov Symplectic Integrators for Optimal Control Theory
4:20pm-4:40pm Aaron Nelson Shooting-based variational integrators and spectral collocation-methods
5:40pm-6:00pm Clayton Anderson Shortest Paths via Geodesic Flow

Announcements

Target Audience

Course Description

Background

Textbook

Additional Reading

You should consider these additional references as a potential source of advanced topics in geometric numerical integration, which would be suitable for further study, as part of your course project.

Grading

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