Lecture Notes

Lecture notes will hopefully be available shortly after each lecture.

Notes from 05/01/09:

• Welcome and Intro to CS101

Notes from 07/01/09:

• Brief review of techniques for ODEs

Notes from 12/01/09:

• Brief review of techniques for PDEs

Notes from 14/01/09:

• Lagrangian and Hamiltonian Mechanics: a continuous overview

No class on MLK day...

Notes from 21/01/09:

• Symmetries, Constraints, and Forced Systems: a continuous overview

Notes from 26/01/09:

• First Contact with Symplectic Integrators

Notes from 28/01/09:

• From Symplectic to Variational Integrators

Notes from 02/02/09:

• Splitting and Composition of Integrators

Notes from 02/04/09:

• Integrators for Constrained Systems

Notes from 02/09/09:

• Pontryagin-based Integrators and Non-conservative Forces

Notes from 02/11/09:

• Multistep Methods and High-order Variational Integrators

No class on Presidents Day

Notes from 02/18/09:

• Lie Group Integrators

Notes from 02/23/09:

• Lie Group Integrators (part II) + Non-holonomic Systems

Notes from 02/25/09:

• Adaptive Time Stepping

Notes from 03/02/09:

• Numerical Issues

Notes from 03/04/09:

• Backward Error Analysis