**UBC Mathematics Department**

*http://www.math.ubc.ca*

## Colloquium Abstract: Dr. Gregory Reid, Okanagan College and UBC

Computer graphics and visualizations will be used to help
informally introduce concepts from the geometry of partial
differential equations.

Computer implementations of such (Jet space) methods and
connections with numerical solution methods will also be discussed.
In particular we present a geometric way to calculate Gear's index of
numerical difficulty of solving systems of ODEs with constraints
(e.g. the Pendulum). We also mention possibilities of generalizations
to systems of PDEs with constraints (e.g. the Navier Stokes Equations
and Einstein's Field Equations).

*Coffee, tea and cookies will be served in Math Lounge (Annex) Room 1115

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