Numerical Analysis
OU Presidential Dream
Course
Fall 2018, Sec
001: TR 1:30-2:45pm, Classroom PHSC 108
Instructor: Dr. Ying Wang
Contact info:
PHSC 1119, tel: 405-325-6074, email:
wang@ou.edu
Office hours:
TR 2:45-3:45, and by appointment
Syllabus: Sec 001
Policy:
Late
homework will have no credit.
Tentative
Schedule:
updated regularly
Tuesday |
Thursday |
August
21 Linear algebra review: Matrices addition/subtraction, Multiplication, Transpose, Scalar multiplication, Inverse, Determinant HW 0 (Due Aug 23) |
August 23 System of linear equations: Gaussian Elimination Quiz 1 is on Aug 30 |
August
28 Guest Lecture Professor Colin Macdonald Office: PHSC 1008 Topic: Polynomial Lagrange
Interpolation Office hour: 8/29
1:30-2:30pm Title: Numerical
Computation on Curved Surfaces HW 1 (Due Sep 11) gauss_elim.m Solution |
August
30 Gaussian Elimination Matrix Inversion Gaussian Elimination with
Partial Pivoting Quiz 1 Solution Aug 31: Last day to drop without a “W” |
September
4 Gaussian Elimination with
Partial Pivoting Vector Norms Matrix Norms |
September
6 Matrix Norms Eigenvalues, Eigenvectors |
September 11 Error Estimate Condition Number Perturbation of A and b Quiz 2 Solution |
September 13 Office hours (Due to Engineering Career
Fair) |
September 18 Perturbation of A and b Existence, Uniqueness,
Stability of solutions to IVPs |
September 20 Existence, Uniqueness, Stability of solutions to IVPs Euler Method for ODEs Local Truncation Error of Euler’s Method Quiz 3 is on Sep 25 September 21 Public
Lecture Sep 21 3:30-4:30pm PHSC 108 Speaker: Professor Yalchin Efendiev Title: Data Integration in Multiscale
Simulations |
September 25 Quiz 3 Solution Review for Midterm I |
September 27 Midterm I |
October 2 Midterm 1 discussion Taylor methods |
October 4 Runge-Kutta Method October 8 Public Lecture Oct 8 5:30-6:30pm Nielsen Hall 270 Speaker: Professor
Chi-Wang Shu Title: Mathematics in
Scientific Computing |
October 9 Guest Lecture Professor Chi-Wang Shu Topic: TVD(SSP)
Runge-Kutta time discretization |
October 11 Global error of Euler Method |
October 16 Multi-step ODE solvers Adams-Bashforth |
October 18 Multi-step ODE solvers Adams-Bashforth Adams-Moulton |
October 23 Multi-step ODE solvers Predictor-corrector Consistency, Stability, and Convergence conditions for 1-step
methods |
October 25 Consistency, Stability, and Convergence conditions for multi-step
methods Oct 26: Last day to drop with a “W” for undergraduate students |
October 30 Error control and variable step size algorithms |
November 1 Guest Lecture: Professor Alex Grigo Topic: Programming
demonstration of variable step size algorithms |
November 6 Review for Midterm II |
November
8 Midterm II |
November 13 Discussion of Midterm II |
November
15 Nonlinear equations Bisection Method Newton’s Method |
November
20 Newton’s Method Secant Method Quiz 4 is on Nov 27 |
November
22 Thanksgiving break, no class |
November
27 Fixed Point Iteration Quiz 4 Solution |
November
29 Fixed Point Iteration Applied Math
seminar Nov 30 2:30-3:30 PHSC 323 Speaker: Professor Xingjie Li Title: Consistent coupling of
nonlocal diffusion |
December
4 Review for the Final
Exam |
December
6 Review for the Final
Exam |
MATLAB
tutorials:
•
The
documentation available at the central MATLAB
web-site, in particular Getting Started, the Function Reference, and the Examples web-sites.
•
A 33-page
Practical Introduction to Mathlab by Mark Gockenbach (Michigan Technological University) Introduction, in html format.
•
A 16-page
MATLAB Tutorial by Peter Blossey
(University of Washington).
•
A 8-page Introduction to Plotting with Matlab
from the University of Washington.
•
A very
detailed (125 pages) MATLAB Overview by Ed Overman
(Ohio State University).
•
A 35-page
MATLAB Primer by Kermit Sigmon
(University of Florida).
Final Exam: Sec 001
December 12 Wednesday 1:30--3:30 PHSC 108 (classroom)