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Date: Tue, 26 Nov 1996 00:11:22 GMTServer: NCSA/1.4.1Content-type: text/htmlLast-modified: Thu, 31 Oct 1996 14:54:44 GMTContent-length: 7128<html> <head><title>Courant Mathematics and Computing Laboratory </title><Center><H1>Courant Mathematics and Computing Laboratory </H1> </Center><Center><H3><I>supported by the <!WA0><A HREF="http://www.doe.gov/html/home.html"> Department of Energy</A></I></H3></Center></head><body><hr><Center><H2> Computational Mathematics and Applied Analysis</H2></Center><hr><H2>Overview</H2>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 resolutionof a broad class of scientific problems, drawn from aerodynamics,multi-phase flow, combustion, electromagnetic theory, nonlinear opticsand materials science. One component of the CMCL involves the design ofnew schemes for partial differential equations,particularly those which support adaptive mesh refinement, fastalgorithms, and parallel computation.A second component of oureffort concerns the modeling and numerical investigation of a varietyof questions in materials science, interface motion, and nonlinearoptics.The third component of the CMCLinvolves the mathematical analysis of the phenomenology of nonlinearconservation laws and incompressible flow.<P><H2>People</H2><P> The research personnel of the CMCL consists of 7 faculty members,9 graduate students, and several postdoctoral fellows. The current members include:</P><ul><li> Principal Investigators<dl> <dd><!WA1><A HREF="http://www.math.nyu.edu/faculty/lax/index.html">Peter Lax </a><dd><!WA2><A HREF="http://cs.nyu.edu/cs/faculty/berger/index.html">Marsha Berger </a><dd><!WA3><A HREF="http://www.math.nyu.edu/faculty/greengar/index.html">Leslie Greengard </a> </dl><li> Faculty<dl> <dd><!WA4><A HREF="http://cs.nyu.edu/cs/faculty/greenbau/index.html">Anne Greenbaum </a><dd><!WA5><A HREF="http://www.math.nyu.edu/faculty/muraki/index.html">DaveMuraki </a><dd><!WA6><A HREF="http://www.math.nyu.edu/faculty/shelley/index.html">MichaelShelley </a><dd><!WA7><A HREF="http://www.math.nyu.edu/faculty/xin/index.html">ZhoupingXin </a> </dl><li> Postdocs<dl> <dd> Lou Kondic </a><dd> Xu-dong Liu </a><dd> <!WA8><A HREF = "http://math.nyu.edu/postdocs/minion/index.html">Michael Minion </a> </dl></ul><H2>Principal Research Projects</H2>This is a partial listing of some of our projects.<ul><li><!WA9><A HREF="http://cs.nyu.edu/cs/faculty/berger/geom.html">Numerical Simulation of Partial Differential Equations in Complex Geometry. </a></li><li><!WA10><A HREF="http://math.nyu.edu/faculty/shelley/kelvin/kelvin.html">Interface motion under surface tension. </a></li><li>Fast Algorithms and Iterative Methods. </li><li>Discretization Schemes. </li><li>Materials Science and Nonlinear Optics. </li><li><!WA11><A HREF = "http://math.nyu.edu/faculty/greengar/poisson.html">A Fast Poisson Solver for Complex Geometries. </a></li><li><!WA12><A HREF="http://math.nyu.edu/postdocs/minion/res/under.html">Spurious vorticies in underresolved incompressible flow calculations. </a></li><li><!WA13><A HREF="http://math.nyu.edu/postdocs/minion/res/bubble.html">Investigation of singularities in Boussinesq convection. </a></li><li><!WA14><A HREF="http://cs.nyu.edu/cs/faculty/berger/ton.html">Adaptive simulation of compressible reacting flows:a study of laser induced spark ignition. </a></li></ul><H2>Software </H2>The following software can be obtained via email from the contact person listed below. <ul><P><li> FMM: An adaptive 2-D Fast Multipole Method for Coulomb interactions is available from Leslie Greengard (greengard@cims.nyu.edu).</P><P><li> AMR2D: An adaptive 2-D Adaptive Mesh Refinement code for hyperbolic conservation laws is available from Marsha Berger (berger@cims.nyu.edu).</P><P><li> AMRCLAW: An adaptive version of R. LeVeque's 2-D CLAWPACK code is available from Marsha Berger (berger@cims.nyu.edu).</P></ul><H2>Recent Postdoctoral Fellows Supported in part by the DOE </H2>(under construction)<TABLE BORDER> <TR> <TH>Name</TH> <TH>Research Area </TH> <TH>1st Position (after NYU)</TH> <TH>Employer</TH> </TR> <TR> <TH>S. Karni</TH> <TH>Comp. Fluid Dynamics </TH> <TH>Asst. Prof.</TH> <TH>Temple University</TH> </TR> <TR> <TH>V. Ton</TH> <TH>Comp. Fluid Dynamics </TH> <TH>Staff Scientist</TH> <TH>Aerospace Corp.</TH> </TR> <TR> <TH>R. Young</TH> <TH>Applied Analysis </TH> <TH>Postdoc </TH> <TH>Stonybrook </TH> </TR> <TR> <TH>D. Sidilkover</TH> <TH>Comp. Fluid Dynamics </TH> <TH>Staff Scientist</TH> <TH>ICASE </TH> </TR> <TR> <TH>M. Ward</TH> <TH>Applied Math. </TH> <TH>Asst. Prof. </TH> <TH>U.B.C. </TH> </TR> <TR> <TH>C. Liu </TH> <TH>Num. Analysis . </TH> <TH>Asst. Prof. </TH> <TH>U.S.C. </TH> </TR> <TR> <TH>R. Almgren </TH> <TH>Applied Math. </TH> <TH>Asst. Prof. </TH> <TH>U. Chicago </TH> </TR> <TR> <TH>A. Szepessy </TH> <TH>Applied & Num. Analysis </TH> <TH> Asst. Prof. </TH> <TH>K.T.H., Sweden</TH> </TR> <TR> <TH>R. Krasny </TH> <TH>Num. Analysis </TH> <TH> Asst. Prof. </TH> <TH>Univ. Michigan </TH> </TR> <TR> <TH>G. Russo </TH> <TH>Num. Analysis </TH> <TH> Asst. Prof. </TH> <TH>Italy</TH> </TR></TABLE><H2>Recent Ph.D. Theses Supported in part by the DOE </H2><TABLE BORDER> <TR> <TH>Name</TH> <TH>Thesis Title</TH> <TH>Ph.D. Year</TH> <TH>Adviser</TH> <TH>Employer</TH> </TR> <TR> <TH>H. Cheng</TH> <TH>A Method of Images for the Evaluation of Electrostatic Fields in Systems of Closely-Spaced Cylinders </TH> <TH>1995</TH> <TH>Greengard</TH> <TH>Princeton University</TH> </TR> <TR> <TH>A. Roma</TH> <TH>A Multilevel Self Adaptive Version of the Immersed Boundary Method </TH> <TH>1995</TH> <TH>Berger</TH> <TH>Univ. of Brazil</TH> </TR> <TR> <TH>M. Teytel</TH> <TH>Degeneracies in Spectra of Linear Self-Adjoint Operators</TH> <TH>1996</TH> <TH>Lax</TH> <TH>Univ. of Penn. </TH> </TR> <TR> <TH>Min Chen</TH> <TH> Velocity Formulation of the Euler Eqs. and Symplectic Integration </TH> <TH>1996</TH> <TH>Lax</TH> <TH> </TH> </TR> <TR> <TH>J.-Y. Lee </TH> <TH>Singular Perturbation Problems </TH> <TH>1994</TH> <TH>Greengard</TH> <TH> Korea </TH> </TR> <TR> <TH>Shlomo Engelberg</TH> <TH> On the stability of Certain classes of Solutions of the Burgers' eq. with Higher Order Viscosity </TH> <TH>1994</TH> <TH>Lax and Goodman</TH> <TH>Tel Aviv Univ.</TH> </TR> <TR> <TH>Brian Hayes </TH> <TH> (I) Stability of Solns. to a Destabilized Hopf eq. (II) Studies of the Kac-Mvan Moerbeke Lattice </TH> <TH>1994</TH> <TH>Lax </TH> <TH>U.S.C.</TH> </TR> <TR> <TH>Feiran Tian</TH> <TH> Oscillations of the Zero Dispersion Limit of the Korteweg-de-Vries eq. </TH> <TH>1991</TH> <TH>Lax </TH> <TH>Ohio State Univ.</TH> </TR> <TR> <TH>Sebastian Noelle</TH> <TH> Cauchy Problems for the Complex Burgers Eq. in One and Two Space Dimensions</TH> <TH>1990</TH> <TH>Lax </TH> <TH>Univ. of Bonn</TH> </TR></TABLE>⌨️ 快捷键说明
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