Applied and Computational Harmonic Analysis Reading Seminar (Winter, 2004)

Course: MAT 298
CRN: 40075
Class: Friday 2:10pm-4:00pm, 593 Kerr

Organizer: Naoki Saito
Office: 675 Kerr
Phone: 754-2121
Email:saito@math.ucdavis.edu

This quarter, we will read the following books, mainly Kress's book on integral equations :

Rainer Kress: Linear Integral Equations, 2nd Ed., Springer-Verlag, 1999.
Kendall E. Atkinson: The Numerical Solution of Integral Equations of the Second Kind, Cambridge Univ. Press, 1997.

Both books are now available in the textbook section (i.e., downstairs) at UCD bookstore.
Note also that we will not cover the beginning chapters of Kress's book and I decided to substitute it by much more brief descriptions and reviews in Chapter 1 of Atkinson's book. It is each reader's responsibility to cover/review the appropriate concepts, definitions, and theorems described in those early chapters if they are referred to in his/her assigned chapter.

Jan. 9: Organizational Meeting

Determine the meeting schedule, readers, chapter assignment

Jan. 16 Noel Smith:

Atkinson, Chapter 1: A Brief Discussion of Integral Equations

Jan. 23: Allen Xue:

Kress, Chapter 6: Potential Theory

Jan. 30: Jim Zhao:

Kress, Chapter 7: Singular Integral Equations

Feb. 6: Brendan Farrell:

Kress, Chapter 10: Operator Approximations

Feb. 13: Dan Rutherford

Kress, Chapter 11: Degenerate Kernel Approximation

Feb. 20: Tim Kneezel

Kress, Chapter 12: Quadrature Methods

Feb. 27: No Seminar (please attend Applied Math Seminar by Ron Kimmel)

Mar. 5: Peng Li

Kress, Chapter 13: Projection Methods

Mar. 12: Jiadong Xu

Kress, Chapter 14: Iterative Solution and Stability

Please email me if you have any comments or questions!
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