Day
|
Section
|
Topic
|
Assigned/Due
|
F
1/20
|
|
introduction
by example
MATLAB/Octave/pylab
compared (PDF) |
Assignment #1 (PDF) |
M
1/23
|
|
example
finished
slinky.m
|
|
W
1/25
|
|
review
of Taylor's theorem
|
|
F
1/27
|
|
review
of constant coefficient ODEs by-hand |
|
M
1/30
|
2.1,
2.2 |
heat
equation model problem
from solutions to A#1:
sumfourthpower.m
sumfourthpowerFORLOOP.m
eulersoln.m
|
A#1
DUE
Assignment #2 (PDF)
|
W
2/1
|
2.4
|
standard heat problem:
the explicit method
|
|
F
2/3
|
|
cont.
explicitONE.m
explicit.m
|
|
M
2/6
|
2.3 |
standard heat problem:
exact
solution by Fourier series/separation of variables |
A#2
DUE |
W 2/8
|
2.5 |
standard
heat problem by explicit
method: truncation
error |
A#2
DUE
(revised) |
F 2/10
|
|
cont.; experiment with
stability
explicitcheck.m
boom.m
|
Assignment
#3 (PDF)
|
M 2/13
|
2.6 |
standard
heat problem by explicit
method: maximum principle
proof of convergence
|
|
W 2/15
|
2.8
|
cont.,
refinement paths;
implicit
method |
|
F 2/17
|
|
implicit
method: implementation
implicit.m
implicit.py [python;
shows use of sparse matrices]
|
Assignment
#4 (PDF)
|
M 2/20
|
2.7 |
implicit
method: truncation error, convergence; fourier
analysis of
stability |
A#3
DUE |
W 2/22
|
|
fourier analysis of
stability cont
flipper.m
|
|
F 2/24
|
2.12 |
cont; also Richardson
method |
|
M 2/27
|
2.10 |
"theta methods"
including Crank-Nicolson
study guide for
reviewing definitions (PDF)
|
A#4
DUE
Assignment #5 (PDF)
|
W 2/29
|
2.11
|
stability for theta
methods |
|
F 3/2
|
2.13 |
general
boundary conditions |
|
M 3/5
|
|
cont.
from solutions to A#4:
semiimp.m
also, as in class:
semiimperr.m
convergesemiimp.m
convergesemiimp.pdf
|
A#5 DUE
|
W 3/7
|
2.14 |
brief
review; conservation
from solutions to A#5:
thetaheat.m
runtheta.m
runcn.m
cnharder.m
runharder.m
runmanu.m
|
A#5
DUE
(revised)
|
F 3/9
|
|
IN-CLASS
MIDTERM EXAM:
closed book, no notes
covers definitions and basic calculations
study
guide for reviewing definitions (PDF)
|
MIDTERM
EXAM
|
3/12--3/16
|
|
Spring Break (no
classes) |
|
M 3/19
|
2.15
|
more general linear heat
equation |
Assignment
#6 (PDF)
|
W 3/21
|
|
cont.:
advection
as in class:
diffadvectdemo.m
|
|
F 3/23
|
|
cont.:
upwinding
about your project |
|
M 3/26
|
3.1
|
cont.;
explicit scheme for heat equation with (x,y) |
A#6
DUE |
W 3/28
|
|
2.15
cont.: divergence form
from solutions to A#6:
plotb.m
adaptiveb.m
|
A#6
DUE |
F 3/30
|
2.17
|
nonlinear
diffusion
for A#7:
formM.m
|
Assignment
#7 (PDF)
|
M 4/2
|
3.2
|
implicit
schemes
for
2
or
3
spatial vars
|
|
W 4/4
|
4.1
|
pure
transport (=advection); characteristics |
|
F 4/6
|
4.2 |
cont.;
classical
wave equation;
FTCS bad, upwinding good, CFL |
VERSION
1.0 of
Project DUE |
M 4/9
|
|
cont.
|
A#7
DUE |
W 4/11
|
4.3 |
convergence for upwinding
from solutions to A#7:
meltM.m
upwind.m
|
Assignment
#8 (PDF)
A#7
DUE |
F 4/13
|
4.5
|
Lax-Friedrichs, leapfrog,
and Lax-Wendroff |
|
M 4/16
|
4.9
|
cont.
|
|
W 4/18
|
4.4, 4.11
|
amplitude
and phase
errors |
|
F 4/20
|
|
cont.
|
|
M 4/23
|
4.7
|
finite
volume
ideas
|
A#8
DUE |
W 4/25
|
|
cont.
in class:
fluxlimiter.m
|
Assignment
#9
|
| F 4/27 |
|
SpringFest
(no
classes) |
|
M 4/31
|
6.1 |
Alex
M proj present (10 min)
elliptic problems in 2 spatial vars
from solutions to A#8:
advectexactsurf.m
advectfigs.m
|
|
W 5/2
|
6.2, 6.3 |
Tim
B proj present (10 min)
error analysis for elliptic;
general equilibrium diffusion |
|
F 5/4
|
5.1, 5.2 |
Lax equivalence theorem
(last day of instruction)
|
|
Tues 5/8
|
|
FINAL
HOMEWORK ASSIGNMENT #9 IN MY BOX
OR
OFFICE BY 5:00 PM
|
A#9
DUE AT 5:00 PM |
Wed
5/9
Thurs
5/10
|
|
VERSION
2.0 of PROJECT
IN MY BOX OR OFFICE BY 5:00 PM |
PROJECT
DUE AT 5:00
PM
|