MATH 6630-01 — Topics in Numerical Methods for PDEs: Numerical Methods for Hyperbolic Conservation Laws


Spring 2019


Instructor: Akil Narayan
Email: akil(-at-)sci.utah.edu
Office phone: +1 801-581-8984
Office location: WEB 4666 or CSC 214D
Office hours: Monday 2:30-4pm, Tuesday 3:30-5pm


Class meeting time: Monday, Wednesday 11:50am - 1:10pm
Class meeting location: ST 214
Textbook (required): Numerical Methods for Conservation Laws, Jan S. Hesthaven, SIAM 2018, ISBN 978-1-61197-509-3.


Analysis and implementation of numerical methods for solving partial differential equations. Issues of stability and accuracy. Linear and nonlinear problems. Note: In paticular, this course will focus on hyperbolic conservation laws.

The course syllabus is here: PDF



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
0 : Monte Carlo February 13, 2019 PDF
1 : Finite Volume Schemes April 1, 2019 PDF
2 : High-order schemes, systems, and multidimensional problems April 24, 2019 PDF



Miscellaneous handouts


The following are various relevant handouts.

Description Posting date Download
Sample project submission: Project -1 January 22, 2019 bitbucket



Software


The following are links to software used during class demonstrations.

Description Language Download
Software demos python bitbucket



Resources

Git (version control)
Latex (typesetting documents)