The CM Seminar is organized in the ISU Mathematics Department. It brings speakers from inside and outside of ISU, raising issues and exchanging ideas on topics of current interest, mainly in connection with computational issues for PDEs.
The seminar meets every Thursday at 4:00 -5:00 pm in Room 408
(or 150) Carver.
SCHEDULE
| DATE | TIME & LOCATION | SPEAKER | TITLE | NOTE |
| Oct. 24 | 4:10PM 408 Carver |
Hailiang LIU ISU |
On Approximate Solutions of Nonlinear Conservation Laws I. | |
| Oct. 31 |
4:10PM 408 Carver |
|
Halloween ---meeting suspended. | |
| Nov. 7 |
4:10PM 408 Carver
|
Zhijun WU ISU |
Entropy Maximization in Phase Determination | |
| Nov. 14 | 4:10PM 408 Carver
|
Hailiang LIU ISU
|
On Approximate Solutions of Nonlinear Conservation Laws II. |
|
| Nov. 21 | 4:10PM 408 Carver
|
Hee-Dae Kwon Math. Dept.
|
Eigen Series Solutions to Terminal-State Tracking Optimal Control Problems Constrained by Linear Parabolic PDEs |
|
For more information, or if you want to be added to the mailing list for the CM Seminar contact Hailiang LIU at hliu@iastate.edu
Background
This introductory lecture is intended to give an overview on the development of modern, high-resolution approximations to hyperbolic conservation laws. I start with a brief overview on the mathematical theory of shock waves by introducing the basic notions like viscous regularization, entropy, TV bounds as well as Riemann's problem. Then follow the basic ingredients of the discrete theory: the Lax-Wendroff theorem, the pivotal finite-difference scheme of Godunov, Lax-Friedrichs. A variety of their higher-order extensions will be further discussed.
Nov. 7 ABSTRACTI will describe an entropy maximization problem in phase determination in protein X-ray crystallography and show how the problem can be solved efficiently in the dual space by using a Newton's method.