Daily Log

The table below contains a summary of what is covered each class day, along with any computer files that were used that day. These include python files (.py), matlab files (.m) and Jupyter notebooks (.ipynb).

By popular demand, I will post my lecture notes here with the caveat that these notes aren’t really written for public consumption. They may be useful in filling in your own hand-written notes after the fact. Please do not rely on them solely.

Date	Topics	Files	Notes
1-14	Heat Equation Cautionary Tale	heatbasic.py Day1-HeatExplicit.ipynb heatbasic.m	Notes
1-16	Taylor's Theorem	LogTaylor.ipynb	Notes
1-18	ODE Theory Euler's Method Consistency, Convergence	ForwardEuler.ipynb	Notes
1-23	Convergence of Euler's Method Other Methods		Notes
1-25	Methods from Integration Zero Stability		Notes
1-28	Zero Stability Absolute Stability		Notes
1-30	Absolute Stability	Transients.ipynb	Notes
2-02	Runke-Kutta Methods	RungeKuttaAstable.ipynb	Notes
2-04	Review of Stability for ODEs		Notes
2-06	Heat Equation: Theory		Notes
2-08	Heat Equation: More Theory!		Notes
2-11	Explicit Method for Heat Equation		Notes
2-13	Stability Analysis for Explicit Method		Notes
2-15	Stability Analyisis and Convergence of Explicit Method		Notes
2-18	Convergence of Explicit Method Implicit Methods		Notes
2-20	Convergence of Implicit Methods		Notes
2-22	Local Truncation Error Redux
2-25	L2 Convergence of Implicit Methods		Notes
2-27	L2 Convergence of Implicit Methods		Notes
3-1	Finish L2 Convergence		Notes
3-4	Crank Nicolson
3-6	Crank Nicolson
3-8	Midterm!
3-18	Method of Characteristics		Notes
3-20	Upwinding
3-22	CFL Condition Convergence of Upwinding		Notes
3-25	Advection and Eigenvalues		Notes
3-27	Lax Wendroff		Notes
3-29	Wave Equation		Notes