AMath 574 Catalog Description

Theory of linear and nonlinear hyperbolic conservation laws modeling wave propagation in gases, fluids, and solids. Shock and rarefaction waves. Finite volume methods for numerical approximation of solutions; Godunov’s method and high-resolution TVD methods. Stability, convergence, and entropy conditions.

Contents

See also Condensed Table of Contents without subsections

• Course information
  • Instructor
  • Class meeting times
  • Discussion board
  • Canvas page
  • Grading
  • Recommended Background
  • Textbook
  • Goals
  • Topics
• Outline and reading assignments
  • Schedule (tentative)
• Lectures and slides
• Recorded lectures

• Homework and project
  • Schedule (tentative)
  • Midterm
  • Course Project
  • Homework format
  • Peer Review
• Course Projects
  • Feedback and peer review
  • Timeline (tentative)
  • The course project paper
  • Presentations
• Possible project topics
• Course Project Presentations
  • Wednesday, March 11, 4:00 - 5:00pm
  • Friday, March 13, 3:30 - 5:30pm

• Material to accompany lab sessions

• Computing Options
  • SageMathCloud
  • Virtual Machine
• Downloading and installing software for this class
  • Git
  • Clawpack
  • Fortran and Python
  • Testing your Clawpack installation
• Class GitHub Repository
  • AM574 environment variable
  • To update
  • Your copy of these files
• Using Git and GitHub
  • Private student repositories
  • Working with more than one clone
  • Git with IPython notebooks
  • Other references
• Using SageMathCloud
  • Making a plot via a Python script
  • Making a plot in IPython
  • Viewing a png file
  • Viewing an html file
  • Editing files
  • Collaborating
• Clawpack Virtual Machine
• Python
  • Some Python resources

• Some other references
  • Hyperbolic problems and finite volume methods
  • Python
  • Latex