Numerical Solutions to PDEs

CMSC38300-1/Math38300-1

• Time: 12:00 - 1:20 pm, TTh
• Place: Ryerson 277
• Instructor: R. Scott
• Prerequisites: consent of instructor

Here are some tutorials that may be of interest. CSIL is located inside the first floor of Crerar Library (JCL).

• Itroduction to LaTeX
  • Instructor: Graham Smith,
  • Time: Friday, October 4, 1:00 PM - 2:00 PM
  • Location: CSIL 4 (JCL-113)
• Introduction to MATLAB
  • Instructor: R. Yang
  • Time: Tuesday, October 8, 6:30 PM - 7:30 PM
  • Location: CSIL 2 (JCL-111)

Homework

• Let L be the lower triangular matrix that is 1 on the diagonal, -1 on the subdiagonal, and zero elsewhere. Implement the combined block-diagonal plus parallel-prefix algorithm descirbed in the new slides for 22-24 October. Solve LU=F where F is the vector of all 1's. Due 12 November.
• Compare explicit and implicit Euler for solving the van der Pol oscillator due 19 Nov
• Do the exercise on page 27 just after equation (5) in the new slides for the second day. Due Tuesday 15 October
• Do the exercises on pages 29 and 33 of the slides. Due Tuesday 8 October. Note that there was an error in the Lax-Wndroff formula in the original version of the slides.

Background Texts:

• Numerical Analysis Princeton University Press, 2011, by Scott.
• The mathematical theory of finite element methods, 3rd Edition, Springer-Verlag, 2008, by Brenner and Scott.

The course will investigate the convergence properties of various methods for solving partial differential equations. The objective will be to investigate open problems. Topics will be chosen to match the interests of the students.

For more information, click here