MCS 571
Numerical Analysis of Partial Differential Equations
University of Illinois at Chicago
Spring 2016


Professor David Nicholls

1219 Science and Engineering Offices (SEO)
davidn@uic.edu
http://www.math.uic.edu/~nicholls/mcs571_spring16/index.html

Lecture (Lincoln Hall, Room 207): MWF 10:00 am - 10:50 am

Office Hours (1219 SEO):

Textbooks:

Other References:
Grading:
Appoximate Schedule with Homeworks (S=Strikwerda, J=Johnson, T=Trefethen):

WEEK
SECTIONS
HW
PROBLEMS
1
S: 1.1
S: 1.2
S: 1.3
1

1.1.3
None
1.3.1, 1.3.2
2
M.L.K. Day (Monday)
S: 1.4 (code demo)
S: 1.4 & 1.5

1



1.4.2
3
S: 1.5 & 1.6
S: 2.1
S: 2.2
2

1.5.1, 1.6.1 (note: You may use the result of problem 1.5.1)
2.1.4
2.2.4
4
S: 3.1
S: 3.1 (cont)
S: 3.2 & 3.3
2

3.1.2
3.1.3 (hint: Do the problem numerically; use L=2 π for their I.C.; use atan2 function)
3.2.3
5
No Class
S: 3.3 & 3.4
S: 3.5

2


3.3.1, 3.4.1 (a,b,d)
3.5.3 (note: Code on page 90 has a bug: "4" should replace "2" on "dd=..." line)
6
S: 4.1
S: 4.2
S: 5.1
3

4.1.1
None
5.1.1
7
S: 5.2
S: 5.3
S: 6.1 & 6.2
3

5.2.3
5.3.3
6.1.2, 6.2.2
8
S: 6.3
S: 6.3
S: 6.3
3

6.3.10 (note: Use b=1; truncate the Fourier series solution; code on p. 152 has bugs)


S: 6.4
S: 8.1
No Class
4

6.4.4 (note: This is a coding problem)
8.1.6 (note: Use the fact that uxx goes to zero at ± ∞)

10
S: 8.2 & 8.3
S: 12.1
S: 12.2
4
8.2.1, 8.3.1
12.1.2
12.2.2
11
S: 12.3 & 12.4
S: 12.5
S: 12.6 & 12.7
4
12.3.2, 12.4.1
12.5.2
12.6.1
12
J: 1.1
J: 1.2
J: 1.2
5

1.1
None
None
13 J: 1.3
J: 1.4
No Class
5
None
1.9

14
J: 1.5
J: 1.6
J: 1.7 & 1.8
5
1.12
1.16,
1.18
, FEM Computational Problem
15
J: 2.1 & 2.2
J: 2.3
J: 2.4


One Way Wave Equation MATLAB script: onewaywave_ex.m
Laplace Solver (FEM) MATLAB script: laplace1d_fem.m
MATLAB Primer: primer35.pdf
Information Page: PDF
Johnson: Ch 0, Ch 1, Ch 2