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High Order Structure Preserving Integration with Variational
Integrators
James Hall
UCSD
Abstract:
Structure preserving numerical methods for ordinary differential equations often perform very well where standard methods numerical methods perform poorly, particularly when simulating mechanical systems. However, most well known structure preserving methods are low order, and the investigation of methods for constructing high order structure preserving methods is an area of active research. In this talk I will present a method for constructing high order symplectic integrators, and discuss several extensions of these constructions, including how these constructions can be extended to methods for Lie groups, and how these methods can be efficiently implemented for an important class of mechanical systems.
Tuesday, January 28, 2014
11:00AM AP&M 2402
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Philip E. Gill
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Randolph E. Bank
Philip E. Gill
Michael Holst
Administrative Contact:
[ Click to Send Email ]
James Hall
UCSD
Abstract:
Structure preserving numerical methods for ordinary differential equations often perform very well where standard methods numerical methods perform poorly, particularly when simulating mechanical systems. However, most well known structure preserving methods are low order, and the investigation of methods for constructing high order structure preserving methods is an area of active research. In this talk I will present a method for constructing high order symplectic integrators, and discuss several extensions of these constructions, including how these constructions can be extended to methods for Lie groups, and how these methods can be efficiently implemented for an important class of mechanical systems.
Tuesday, January 28, 2014
11:00AM AP&M 2402