Math 273B (Advanced Techniques in Computational Mathematics)

Course Topics: Advanced Techniques in Computational Mathematics
Instructor: Prof. Michael Holst (5739 AP&M, mholst@math.ucsd.edu)
Term: Winter 2008
Lecture: 9:30a-10:45a TuThu, APM 5829
Class webpage: http://ccom.ucsd.edu/~mholst/teaching/ucsd/273b_w08
Textbook(s):

  • D. Braess, Finite Elements: Theory, fast solvers, and applications in solid mechanics, Springer-Verlag, 2001, 2nd or later edition.
  • J.E. Marsden and T.J.R. Hughes, Mathematical Foundations of Elasticity, Dover Publications, 1994.

CATALOG DESCRIPTION: 273B. ADVANCED TECHNIQUES IN COMPUTATIONAL MATHEMATICS (4)
Brief review of tools from nonlinear functional analysis for numerical treatment of nonlinear PDE. Numerical continuation methods, pseudo-arclength continuation, gradient flow techniques, and other advanced techniques in computational nonlinear PDE. Project-oriented; projects designed around problems of current interest in science, mathematics, and engineering. Prerequisites: consent of instructor.
GRADES, EXAMS, DATES: Your grade in the course is based on your project and your 20-minute project presentation during the time of the final.
  • Final Exam/Project Meeting Day/Time/Place: Tue 8am-11am 5829 APM
ANNOUNCEMENTS, NOTES, ETC:
  • IPAM Workshop Notes on Elliptic PDE and Approximation theory
  • Notes on Calculus in Banach Spaces, Variational Methods, and Mechanics