MATH 6620-01 — Analysis of Numerical Methods, II
Spring 2024
| Instructor: |
Akil Narayan |
| Email: |
akil sci.utah.edu |
| Office phone: |
+1 801-581-8984 |
| Office location: |
WEB 4666, LCB 116 |
| Office hours: |
Wednesdays 11am-12pm (LCB 116), and Thursdays 1pm-2pm (WEB 4666) |
| Class meeting time: |
Monday, Wednesday, Friday 12:55pm - 1:45pm |
| Class meeting location: |
HEB 2002 |
Second half of the course described under the listing for MATH 6610.
The course syllabus is here: PDF
The content of this course is split across this website and Canvas. The material available on this website is:
- Course syllabus
- Homework assignments
- Course slides
- Links to software
The material available on Canvas is:
- Course syllabus
- Homework assignments and submission portal (Gradescope)
- Grading results
Graded assignments
Individual grades for each assignment will be posted to Canvas. (uNID login required.) Note that the letter grades appearing on Canvas are not representative of predicted final letter grades for the course. Final letter grades will be computed according to the rubric and policies on the syllabus.
Homework assignments
Late work will not be accepted without advance approval from the instructor.
|
Problem set description
|
Due date
|
Homework
|
|
1 : Finite difference methods for 1D stationary problems
|
January 26, 2024
|
PDF
|
|
Key and solutions
|
|
PDF
|
|
2 : Time-stepping methods, I
|
February 9, 2024
|
PDF
|
|
Key and solutions
|
|
PDF
|
|
3 : Time-stepping methods, II
|
February 28, 2024
|
PDF
|
|
Key and solutions
|
|
PDF
|
|
4 : Finite differences for time-dependent problems
|
March 22, 2024
|
PDF
|
|
Key and solutions
|
|
PDF
|
|
5 : Fourier Series and time-dependent problems
|
April 5, 2024
|
PDF
|
|
Key and solutions
|
|
PDF
|
|
6 : Fourier Series for time-dependent problems
|
April 22, 2024
|
PDF
|
|
Key and solutions
|
|
PDF
|
Miscellaneous handouts
The following are various relevant handouts.
|
Description
|
Posting date
|
Download
|
|
Course introduction and logistics
|
January 9, 2024
|
PDF
|
|
Introduction to PDEs
|
January 10, 2024
|
PDF
|
|
Finite difference methods for stationary problems
|
January 19, 2024
|
PDF
|
|
Finite difference methods for 2D stationary problems
|
January 23, 2024
|
PDF
|
|
Polynomial interpolation and quadrature
|
January 29, 2024
|
PDF
|
|
Solvers for initial value problems, I
|
January 29, 2024
|
PDF
|
|
Solvers for initial value problems, II
|
February 2, 2024
|
PDF
|
|
Solvers for initial value problems, III
|
February 9, 2024
|
PDF
|
|
Solvers for initial value problems, IV
|
February 14, 2024
|
PDF
|
|
Finite differences for PDES, I
|
February 14, 2024
|
PDF
|
|
Finite differences for PDES, II
|
March 10, 2024
|
PDF
|
|
Finite differences for PDES, III
|
March 18, 2024
|
PDF
|
|
Fourier Series, I
|
March 24, 2024
|
PDF
|
|
Fourier Series, II
|
March 30, 2024
|
PDF
|
|
Weighted residual methods
|
April 7, 2024
|
PDF
|
|
Fourier spectral methods, I
|
April 15, 2024
|
PDF
|
|
Fourier spectral methods, II
|
April 15, 2024
|
PDF
|
|