MATH 6620-01 — Analysis of Numerical Methods, II


Spring 2024


Instructor: Akil Narayan
Email: akil(-at-)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