Topic : Classic Papers in Numerical Analysis
Meeting Time : Thursday, 2:30
Meeting Place : Applied Mathematics Library (Guggenheim 408D)
The topic this quarter was inspired by a course that Nick Trefethen taught about 10 years ago. A syllabus for this course can be found at this link.
This week's meeting (May 27, 2004)
Magnus R. Hestenes and Eduard Stiefel, "Methods of conjugate gradients for solving linear systems," Journal of Research of the National Bureau of Standards 49 (1952), 409-436.
(continued discussion of previous weeks topic).
A. Brandt, "Multi-level adaptive solutions to boundary-value problems,"
Mathematics of Computation 31 (1977), 333-390.
You can download the above paper here.
Lars has also provided notes for his discussion this week - you can download those here.
(continued discussion of Multi-level methods).
G. Wanner, E. Hairer, and S. Norsett, "Order stars and stability theorems", BIT 18 (1974), 475-489.
James W. Cooley and John W. Tukey, "An algorithm for the machine
calculation of complex Fourier series," Mathematics of Computation 19
(1965), 297-301.
R. Courant, K. O. Friedrichs and H. Lewy, "Ueber die partiellen Differenzengleichungen der mathematischen Physik," Mathematische Annalen 100 (1928), 32-74. Translated as: "On the partial difference equations of mathematical physics," IBM Journal of Resarch and Development 11 (1967), 215-234.
(continued discussion of CFL paper).