Numerical Analysis I

Semester: Fall 2011
Course: Numerical Analysis I
Course code: ACMS 60690
Instructor: Yongtao Zhang
E-mail: yzhang10 AT nd DOT edu
Office location: HAYE 242
Office phone: (574) 631-6079
Office hours: Thur 2:00pm-4:00pm, or by appointment
Meeting time and place: Mon Wed & Fri 10:40am-11:30am, DBRT 117 (Lecture)

Textbooks:
[1] Numerical Analysis: Mathematics of Scientific Computing, Third Edition, by David Kincaid and Ward Cheney, Brooks/Cole, ISBN: 0-534-38905-8, 2002. (The 2009 version published by the American Mathematical Society with ISBN 978-0-8218-4788-6 is the same.)

[2] Finite Difference Methods for Ordinary and Partial Differential Equations, by Randall J. LeVeque, SIAM, 2007, ISBN: 978-0-898716-29-0.

References:
[1] J. Stoer, and R. Bulirsch, Introduction to Numerical Analysis, Springer, 2002.
[2] L. N. Trefethen, and D. Bau, Numerical Linear Algebra, SIAM, 1997.
[3] C.-W. Shu, Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws, in Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, B. Cockburn, C. Johnson, C.-W. Shu and E. Tadmor (Editor: A. Quarteroni), Lecture Notes in Mathematics, volume 1697, Springer, 1998.

Course information and syllabus

Homework assignments:

HW1 (due Sep 12): p.79: 2; p.80: 7, 8, 1; p.81: 3; p.90: 4; p.91: 10; p.92: 22, 1, 5; p.93: 10; p.98: 2, 6; p.99: 3; p.106: 4.
HW2 (due Oct 03): p.159: 7, 12; p.160: 28, 30; p.163: 2; p.180: 1(a, b, omit the question about using pivoting); p.193: 7; p.194: 12, 16; p.231: 1; p.232: 2.
HW3 (due Oct 26): p.245: 1, 2; p.323: 1(a,b,c); p.324: 9, 10, 11; p.338: 1; p.348: 1, 4.
HW4 (due Nov 18): p.477: 6; p489: 8, 10, 13; p490: 18, 19; p499: 10; p500: 21; p537: 3; p547: 2; p571: 3.

Announcements: