Math 273A (Advanced Techniques in Computational Mathematics)

Course Topics: Advanced Techniques in Computational Mathematics
Instructor: Prof. Michael Holst (5739 AP&M, mholst@math.ucsd.edu)
Term: Fall 2007
Lecture: 9:30a-10:45a TuThu, APM 5402
Class webpage: http://ccom.ucsd.edu/~mholst/teaching/ucsd/273a_f07
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: 273A. ADVANCED TECHNIQUES IN COMPUTATIONAL MATHEMATICS (4)
Brief review of continuum mechanics models of physical systems, calculus of variations, principle of least action. Discretization techniques for variational problems, geometric integrators, and other advanced techniques in numerical discretization. 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