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.
Date | Topics | Zoom | Notes | Files |
---|---|---|---|---|
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 |