Daily Log

The table below contains a summary of what is covered each class day, along with any computer files (e.g. Matlab files) that were used that day.

I will post the lecture notes that I write on the screen here. They may be useful in filling in your own hand-written notes after the fact. Please do not rely on them solely.

DateTopicsZoomNotesFiles
4-23 Solving Sparse Systems Video
Notes
ConjGradient.ipynb
4-21 Elliptic Problems (2-d) Video
Notes
4-19 Nonlinear problems; Finite Elements (1-d) Video
Notes
4-16 Elliptic Problems (1-d) Video
Notes
4-14 Elliptic Problems (1-d) Video
Notes
4-12 Elliptic Problems (1-d) Video
Notes
4-09 Finite Volumes Continued
(Guest Lecturer: Ed Bueler)
4-07 Intro to Finite Volumes
(Guest Lecturer: Ed Bueler)
Video
Notes
4-05 Numerical Dispersion Relations Video
Notes
WaveEquationDispersion.ipynb
4-02 Wave Equation Initial Data Video
Notes
WaveEquation.ipynb
WaveEq2.ipynb
3-31 Group Velocity; Wave Equation Numerics Video
Notes
GroupVelocity.ipynb
3-29 Dispersion Relations Video
Notes
3-26 Wave Equation Intro Video
Notes
3-24 Lax Wendroff Video
Notes
LaxWendroff.ipynb
3-22 Upwinding and Absolute Stability Video
Notes
3-19 Convergence of Upwinding Video
Notes
3-17 CFL condition Video
Notes
Upwind.ipynb
3-15 Method of Characteristics Video
Notes
3-03 L-Stability/Transport Equation Video
Notes
3-01 Crank Nicholson/L-Stability Video
Notes
FourierSin.ipynb
2-26 Crank Nicholson Video
Notes
CrankNicholson.ipynb
2-24 L2 convergence of Theta Methods Video
Notes
2-22 Other norms Video
Notes
2-19 Convergence of Theta Methods; Other norms Video
Notes
2-17 Theta Methods Video
Notes
2-15 Convergence of Direct Method Video
Notes
2-12 Direct Method & Absolute Stability Video
Notes
2-10 Heat Equation Direct Method Video
Notes
2-08 Heat Equation Theory & Direct Method Video
Notes
2-05 Heat Equation Theory Video
Notes
2-03 ODE Review Video
Notes
RungeKuttaAstable.ipynb
2-01 Runge-Kutta Methods Video
Notes
1-29 Absolute Stability (part 2) Video
Notes
1-27 Absolute Stability (part 1) Video
Notes
Transients.ipynb
1-25 Zero Stability Video
Notes
1-22 Catalog of FD Methods Video
Notes
1-20 Convergence of Euler's Method Video
Notes
1-15 Euler's Method Video
Notes
TaylorsTheorem.ipynb
ForwardEuler.ipynb
1-13 Python; Taylor's Theorem Video
Notes
1-11 Heat Equation Cautionary Tale Video
Notes
heatbasic.py
Day1-HeatExplicit.ipynb