Parabolic Equations
- Nonlinear Diffusion Equations
Text.There is no text book for this course. However, there is a nice manuscript by
Prof. D. Chopp, who has taught the
course previously, that covers most of the material.
MATLAB.There are a number of tutorials and more detailed manuals of MATLAB on the web. A good starting page
is the tutorial from UMD which also
points to more detailed and extensive web resources. Please note that the current version of Matlab is
5 and it differs in some relevant respects from the older versions 3 and 4.
Matlab sample code:
Duffing oscillator: duffing.m
euler.m
f.m
stepeuler.m
Wave equation: wave.m
Kuramoto-Sivashinsky equation
Assignments:
There will be homework assignments that cover theoretical and practical
(including coding) aspects. There will also be some larger programming
projects.
HW 1 (postscript) HW 1 (html)
Solution Sample for VSRK5
HW 2 (postscript) HW 2 (html)
Project 1 (postscript) Project 1(html)
Project 2 (postcript)
If your browser does not show the html-file appropriately you may tune it by following these
instructions
Please let me know if you have difficulty printing out the postscript files.
Office hours: Mo Tu Th 5-6 in M458
Blackboard Web Page
There will be no class on Wednesday November 22 and Monday November 27.
To make up the time the first 10 lectures will be 15 minutes longer.
H. Riecke, ESAM
Text.There is no text book for this course. However, there is a nice manuscript by
Prof. D. Chopp, who has taught the
course previously, that covers most of the material.
MATLAB. There are a number of tutorials and more detailed manuals of MATLAB on the web. A good starting page
is the tutorial from UMD which also
points to more detailed and extensive web resources.
Matlab sample code:
Duffing oscillator: duffing.m
euler.m
f.m
stepeuler.m
Forward Euler for wave equation:
Assignments:
There will be homework assignments that cover theoretical and
practical (including coding) aspects. Some will involve
extensive coding and running of the codes.
The assignments
will be handed in and graded. Late homework will not be
accepted.
Except for analytical calculations the text
should be typed. The clarity and neatness of the presentation
will be part of the grade (is the text ordered logically and
comprehensible? Is it convincing? Are the figures labeled
properly and described adequately? ) The code will be handed in
as well. The clarity of the code and its documentation will also
enter the grade (is the code structured, using a good level of
modularity? Is the purpose of the various sections stated so
somebody else can understand what the code is doing?)
HW 1 Results
Office hours: We 3-4, Th 4-5 in M458
There will be no class on Monday October 25.
To make up the time the first 5 lectures will be 15 minutes longer.