CURRENT AND FUTURE TRENDS IN NUMERICAL PDE's:
Where is the field, and where is it going?

A conference in honor of the 75th Birthday of
Professor Jim Douglas, Jr.,
Born August 8, 1927

Jim Douglas, Jr.

Friday and Saturday, Feb 8-9, 2002
Texas Institute for Computational and Applied Mathematics,
The University of Texas at Austin, Austin, Texas, USA

Pictures from the conference



The field of computational PDE's is undergoing several paradigm shifts due to the advent of powerful computers.
  • It has prompted the development of new types of algorithms, like domain decomposition methods for elliptic problems and the highly parallelizable discontinuous Galerkin methods for non-linear hyperbolic problems.
  • It has rendered the idea of strict approximation error control a plausible possibility. This has resulted in the development of new continuous dependence results for linear and non-linear PDEs based on which adaptive strategies are being devised to monitor and control the error.
  • It has also been a catalyst for the devising and application of numerical schemes based on multi-resolution analysis.
  • It has enhanced the range of physical phenomena that can be modeled by PDEs and then approximated. This is the case, for example, of models that take into account physical phenomena taking place in different scales and of models devised to capture stochastic mechanisms.
The goal of the conference is to gather different communities working in computational PDEs and expose participants to some of the main current trends in the field. This meeting will challenge its participants to confront the many aspects of the task of approximating the solutions of mathematically sophisticated models, and it will expose them to some of the tools developed in the different sub-communities of computational PDE's.

Schedule Abstracts Registration Transportation Lodging


Speakers

  • Douglas N. Arnold, University of Minnesota
  • Ivo Babuska, University of Texas at Austin
  • Jerry L. Bona, University of Illinous at Chicago
  • James H. Bramble, Texas A&M University
  • Franco Brezzi, UniversitÓ di Pavia and Istituto di Analisi Numerica del C.N.R.
  • Luis A. Caffarelli, University of Texas at Austin
  • Craig C. Douglas, University of Kentucky and Yale University
  • Thomas Yizhao Hou, California Institute of Technology
  • Pierre-Louis Lions, University of Paris IX
  • Mitchell B. Luskin, School of Mathematics, University of Minnesota
  • Ricardo Nochetto, University of Maryland
  • J. Tinsley Oden, University of Texas at Austin
  • Chi-Wang Shu, Division of Applied Mathematics, Brown University
  • Mary F. Wheeler, University of Texas at Austin
  • Jinchao Xu, Pennslyvania State University


Scientific committee

  • Douglas N. Arnold, University of Minnesota
  • Franco Brezzi, UniversitÓ di Pavia and Istituto di Analisi Numerica del C.N.R.
  • Luis A. Caffarelli, University of Texas at Austin
  • Mitchell B. Luskin, University of Minnesota
  • J. Tinsley Oden, University of Texas at Austin
  • Mary F. Wheeler, University of Texas at Austin

Organizing committee

Support for this conference has been provided by TICAM through the generous contributions of its Chaired Professors J.L. Bona, L.A. Caffarelli, J.T. Oden, and M.F. Wheeler.



Home page of Jim Douglas, Jr., Compere and Marcella Loveless Distinguished Professor of Computational Mathematics, Purdue University

A list of the Ph.D. Students and Post-Docs of Professor Douglas.


Last modified: 11 February 2002.