Fall 2024

Numerical Analysis of Partial Differential Equations

MATH576A

  • When: Mondays, Wednesdays and Fridays from 1pm to 1.50pm
  • Where: MATH building, room 501.

Material covered

  • Chapter 0. Preliminaries.
  • Chapter 1. Ordinary differential equations.
  • Chapter 2. Fourier analysis.
  • Chapter 3. Finite difference approximations.
  • Chapter 4. Accuracy, stability and convergence.
  • Chapter 5. Dissipation, dispersion, and group velocity.
  • Chapter 6. Spectral methods.

Resources

  • Abner Salgado and Steven Wise's Classical Numerical Analysis Link
  • Nick Trefethen's unpublished book Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations Link

To contact me

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Frequent Questions

1. Where can you find more about this class?

  • Our section: On D2L, connect with your NetID here.

2. What will you find here?

A list of material covered in class, useful links, and more.

 

3. What about Matlab? (For advanced classes)

  • See intructions from the University's website here.
  • More detailed style guide by R. Johnson here.
  • Matlab publishing tools here.