Frontiers of Numerical PDEs

Fractional Differential Equations, Geometric Evolution, Liquid Crystals, Optimal Transport, and Adaptivity

May 16, 2023 - May 19, 2023

Scientific Organizing Committee:

Texas A&M
Universidad Tecnica Federico Santa Maria, Chile
University of Tennessee
Louisiana State University

Local Organizing Committee:

University of Maryland
University of Maryland

In the past decade, the numerical approximation of partial differential equations (PDEs) has been pushed into new and exciting application areas. Complex phenomena, with fine-scale structure, can be modeled by "generalized", fractional order differential equations. Many types of free boundary problems in science and engineering have a significant geometric component, such as curvature. Liquid crystal (LC) models combine both geometric and topological constraints with vector and tensor order parameters to yield a coarse-grained description of the physics of LC devices. Optimal transport, a major theory in analysis, has now become a practical tool with many applications. And modern adaptive algorithms are able to optimize and balance the computational effort to capture small scales without over-resolving the others.

This conference aims to bring together a diverse set of researchers in numerical analysis to present state-of-the-art algorithms and approximation techniques for the problems listed above. It will provide a collegial atmosphere for productive discussion and interchange of ideas regarding new tools for studying the stability, approximation, and convergence of numerical methods to solve a diverse range of problems in numerical analysis and scientific computing. The conference will also celebrate Ricardo H. Nochetto's 70th birthday, and honor his contributions to all of the above areas.

Partial support for this event was provided by the Institute for Physical Science and Technology at the University of Maryland.

Plenary Speakers:

  • Mark Ainsworth, Brown University
  • Daniele Boffi, King Abdullah University of Science and Technology
  • Zhiming Chen, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
  • Ronald DeVore, Texas A&M University
  • Guiseppe Savare, Bocconi University
  • James Sethian, UC Berkeley
  • Jinchao Xu, Pennsylvania State University

Invited Speakers:

  • Georgios Akrivis, University of Ioannina
  • Eberhard Baensch, Friedrich-Alexander-Universität Erlangen-Nürnberg
  • Soeren Bartels, Albert Ludwigs University of Freiburg
  • Lucas Bouck, University of Maryland
  • Claudio Canuto, Politecnico di Torino
  • Long Chen, University of California Irvine
  • Bernardo Cockburn, University of Minnesota
  • Georg Dolzmann, Universität Regensburg
  • Lucia Gastaldi, Università degli Studi di Brescia
  • Vivette Girault, Laboratoire Jacques-Louis Lions
  • Diane Guignard, University of Ottawa
  • Omar Lakkis, University of Sussex
  • Stig Larsson, Chalmers University of Technology
  • Charalambos Makridakis, IACM-FORTH, University of Crete and University of Sussex
  • Pedro Morin, Universidad Nacional del Litoral
  • Maurizio Paolini, Università Cattolica del Sacro Cuore di Brescia
  • Rob Stevenson, University of Amsterdam
  • Andreas Veeser, Università degli Studi di Milano