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: