MCS 571: Numerical Analysis of Partial Differential Equations (Spring 2025)

Course Information

Title: Numerical Analysis of Partial Differential Equations (4 hours)
Lecture Time: Monday/Wednesday/Friday 9am - 9:50am
Lecture Location: Taft Hall 219

Personal Information

Office: 1219 Science and Engineering Offices (SEO)
E-mail: davidn ((at)) uic ((dot)) edu

Office Hours

Time: Wednesdays, 1pm - 2pm, or by appointment.
Location: SEO 1219

Textbooks

LeVeque, Finite Difference Methods for Ordinary and Partial Differential Equations.
- LeVeque Site
- LeVeque SIAM Site
Gockenbach, Understanding and Implementing the Finite Element Method.
- Gockenbach SIAM Site

Other References

Strikwerda, Finite Difference Schemes and Partial Differential Equations (Second Edition).
Johnson, Numerical Solution of Partial Differential Equations by the Finite Element Method.
Higham & Higham, MATLAB Guide (Third Edition).
Burden & Faires, Numerical Analysis (Ninth Edition).
Faires & Burden, Numerical Methods (Fourth Edition).
Cheney & Kincaid, Numerical Mathematics and Computing (Seventh Edition).

Grading

Homeworks: 100%

Homeworks (L:LeVeque; G:Gockenbach)

LeVeque Problems: Exercises

Homework 1 due Friday, January 31 by 2pm.
- L: 1.1, 1.2
- L: 2.3, 2.4, 2.6
Homework 2 due Friday, February 21 by 2pm.
- L: 3.1, 3.2
- L: 4.1 [typo: (a.) should reference Figure 4.1]
Homework 3 due Friday, March 14 by 2pm.
- L: 5.6, 5.8, 5.11
- L: 6.3, 6.5
- L: 7.4
- L: 8.5
- L: 9.1, 9.3(a)
Homework 4 due Friday, April 11 by 2pm.
- L: 10.1, 10.8
- G: 1.2, 1.6
- G: 2.6, 2.12
Homework 5 due Friday, May 2 by 2pm.
- G: 3.3
- G: 4.1, 4.14, 4.17

Schedule (L:LeVeque; G:Gockenbach)

Week	Mon	Wed	Fri
1	Course Introduction L: 1.0	L: 1.1-1.2, A.1-A.2 MATLAB Demo	L: 1.3-1.5; A.3-A.6
2	MLK DAY	L: 2.1-2.10	L: C.1-C.10
3	L: 2.11-2.12	L: 2.13-2.16	L: 2.17-2.21
4	L: 3.1-3.7	L: 4.1-4.2	L: 4.3
5	L: D.1-D.7	L: 4.4	L: 4.6
6	L: 5.1-5.3	L: 5.4-5.7	L: 5.8-5.9
7	L: 6.1-6.3	L: 6.4, 7.1	L: 7.2-7.7
8	L: 8.1-8.6	L: 9.1-9.4	L: 9.5, E.3
9	L: 9.6-9.9	L: 10.1-10.3	L: 10.4-10.6
10	L: 10.7-10.9	L: 10.10-10.12	L: 11.1-11.6
11	G: 1.1-1.2	G: 2.1-2.2	G: 2.2
12	G: 2.3	G: 2.4	G: 2.5
13	G: 2.6, 3.1-3.2	G: 4.1	G: 4.2
14	G: 4.3, 4.4, 4.6	G: 4.5, 4.7	G: 5.1-5.2
15	G: 5.3-5.4	G: 5.4-5.5	G: 6.1

MATLAB Documentation

MATLAB Primer