MATH6221 (fall 2023), Topics in Numerical Analysis

Instructor: Bangti Jin (b.jin@cuhk.edu.hk)

Lecture room: Lady Shaw Building 222

Lecture hour: 9:30 am – 12:15 pm

Important note: The first lecture will be on Sept. 9, Saturday (instead of Sept. 4, Monday).

Lecture slide

Week 13, December 4, No lecture, presentation for final assessment

Week 12, November 27, lect11

Week 11, November 20, lect10

Week 10, November 13, lect9

Week 9, November 6, lect8

Week 8, October 30, lect7

Week 7, October 23, lect6

Week 6, October 9, lect5

Week 5 (cancelled for holiday)

Week 4, September 25 lect4

Week 3, September 18 lect3

Week 2, September 11 lect2

Week 1, September 9 lect1

The first part of the lectures is based on standard references, e.g.,

1. C. Vogel. Computational Methods for Inverse Problems, SIAM 2002

2. H. Engl, M. Hanke, A. Neubauer. Regularization of Inverse Problems, Kluwer, 1996

3. K. Ito, B. Jin. Inverse Problems: Tikhonov Theory and Algorithms, World Scientific, 2015

4. P. Hansen. Rank-Deficient and Discrete Ill-Posed Problems, SIAM, 1998

The second part of the lectures will be based on recent papers and reviews, and will be posted accordingly.

The following papers are possible materials for presentation: