On computational Poisson geometry II: Numerical methods

Numerical Issues in Computational Geometry

The following is a set of notes prepared by the class TA, Daniel Russel, on addressing numerical issues in geometric computation.

Computational Geometry II

Teaching Computational Geometry, II

Abstract In the 1993 CCCG at Waterloo the speaker gave a talk on “Teaching Computational Geometry”. Since then textbooks have been published, the field has developed further, and extensive geometric software libraries have become available. How has this impacted teaching computational geometry? Are the issues still the same? Have the topics changed? Can the study of computational geometry be mo...

Numerical Methods for the Wigner - Poisson Equations

LASATER, MATTHEW SCOTT. Numerical Methods for the Wigner-Poisson Equa-tions. (Under the direction of C.T. Kelley).This thesis applies modern numerical methods to solve the Wigner-Poisson equa-tions for simulating quantum mechanical electron transport in nanoscale semicon-ductor devices, in particular, a resonant tunneling diode (RTD). The goal of thisdissertation is to provi...

Poisson Geometry

This paper is a survey of Poisson geometry, with an emphasis on global questions and the theory of Poisson Lie groups and groupoids.