Date: Tue, 26 Nov 1996 00:11:22 GMT Server: NCSA/1.4.1 Content-type: text/html Last-modified: Thu, 31 Oct 1996 14:54:44 GMT Content-length: 7128 Courant Mathematics and Computing Laboratory

Courant Mathematics and Computing Laboratory

supported by the Department of Energy


Computational Mathematics and Applied Analysis


Overview

The Courant Mathematics and Computing Laboratory (CMCL) is a research center at the Courant Institute of New York University. Our program is devoted to the formulation, analysis and numerical resolution of a broad class of scientific problems, drawn from aerodynamics, multi-phase flow, combustion, electromagnetic theory, nonlinear optics and materials science. One component of the CMCL involves the design of new schemes for partial differential equations, particularly those which support adaptive mesh refinement, fast algorithms, and parallel computation. A second component of our effort concerns the modeling and numerical investigation of a variety of questions in materials science, interface motion, and nonlinear optics. The third component of the CMCL involves the mathematical analysis of the phenomenology of nonlinear conservation laws and incompressible flow.

People

The research personnel of the CMCL consists of 7 faculty members, 9 graduate students, and several postdoctoral fellows. The current members include:

Principal Research Projects

This is a partial listing of some of our projects.

Software

The following software can be obtained via email from the contact person listed below.

Recent Postdoctoral Fellows Supported in part by the DOE

(under construction)
Name Research Area 1st Position (after NYU) Employer
S. Karni Comp. Fluid Dynamics Asst. Prof. Temple University
V. Ton Comp. Fluid Dynamics Staff Scientist Aerospace Corp.
R. Young Applied Analysis Postdoc Stonybrook
D. Sidilkover Comp. Fluid Dynamics Staff Scientist ICASE
M. Ward Applied Math. Asst. Prof. U.B.C.
C. Liu Num. Analysis . Asst. Prof. U.S.C.
R. Almgren Applied Math. Asst. Prof. U. Chicago
A. Szepessy Applied & Num. Analysis Asst. Prof. K.T.H., Sweden
R. Krasny Num. Analysis Asst. Prof. Univ. Michigan
G. Russo Num. Analysis Asst. Prof. Italy

Recent Ph.D. Theses Supported in part by the DOE

Name Thesis Title Ph.D. Year Adviser Employer
H. Cheng A Method of Images for the Evaluation of Electrostatic Fields in Systems of Closely-Spaced Cylinders 1995 Greengard Princeton University
A. Roma A Multilevel Self Adaptive Version of the Immersed Boundary Method 1995 Berger Univ. of Brazil
M. Teytel Degeneracies in Spectra of Linear Self-Adjoint Operators 1996 Lax Univ. of Penn.
Min Chen Velocity Formulation of the Euler Eqs. and Symplectic Integration 1996 Lax
J.-Y. Lee Singular Perturbation Problems 1994 Greengard Korea
Shlomo Engelberg On the stability of Certain classes of Solutions of the Burgers' eq. with Higher Order Viscosity 1994 Lax and Goodman Tel Aviv Univ.
Brian Hayes (I) Stability of Solns. to a Destabilized Hopf eq. (II) Studies of the Kac-Mvan Moerbeke Lattice 1994 Lax U.S.C.
Feiran Tian Oscillations of the Zero Dispersion Limit of the Korteweg-de-Vries eq. 1991 Lax Ohio State Univ.
Sebastian Noelle Cauchy Problems for the Complex Burgers Eq. in One and Two Space Dimensions 1990 Lax Univ. of Bonn