| Institute for Mathematics and its Applications University of Minnesota 400 Lind Hall 207 Church Street SE Minneapolis, MN 55455 |
2004-2005 Program
See http://www.ima.umn.edu/matter for a full description of the
2004-2005 program on
Mathematics of Materials and Macromolecules: Multiple Scales, Disorder, and Singularities
and http://www.ima.umn.edu/schedule for schedule updates.
Our thanks to outgoing Board members Dimitris Bertsimas (MIT), Richard D. James (University of Minnesota), James Sethian (University of California, Berkeley), and De Witt Sumners (Florida State University) for all their help. Special thanks to De Witt Sumners for his service as Board chair.
This winter the IMA will offer two tutorial/workshops geared towards scientists interested in industrial applications of mathematics. Composites: Where Mathematics Meets Industry, February 7–9, is organized by Graeme Milton. It will include lectures on modeling the pipeline of high performance, nano-composite materials and effective properties (Greg Forest), estimating the properties of composites and smart materials (Graeme Milton) and nanoparticle suspensions with giant electrorheological response (Ping Sheng), problem presentations by industrial scientists, and discussion groups. New Paradigms in Computation, March 28–30, is organized by Robert Kohn and will include lectures on fast multipole methods (Leslie Greengard), level set methods (James Sethian), and multiscale computation (Weinan E).
The winter lectures in the IMA public lecture series Math Matters will be given on the final evenings of the tutorial/workshops. On February 9, David Baraff will present Math Behind the Curtains: Dynamic Simulation at Pixar Animation Studios. On March 30, Thomas Hales will present Computers and the Future of Mathematical Proof.
| 11:15a-12:15p | Schrodinger Vortices II | Daniel Spirn University of Minnesota | Lind Hall 409 | MS |
| 3:35p-4:35p | Modeling and simulation of materials under highly dynamic loads | Adrian Lew Stanford University | Lind Hall 409 | MS |
| 11:15a-12:15p | Singularities focus group - TBA | Matthias Kurzke University of Minnesota | Lind Hall 409 | MS |
| 12:10p-1:10p | iPAWS seminar - TBA | Lind Hall 409 | iPAWS |
| 11:15a-12:15p | Computation of Multivalued Solutions of Nonlinear PDEs | Shi Jin University of Wisconsin | Lind Hall 409 | MS |
| 11:15a-12:15p | Elliptic and Parabolic Spectral Problems with the p-Laplacian | Peter Takac Universitaet Rostock | Lind Hall 409 | MS |
| 12:10p-1:10p | Convex Optimization Techniques for Signal Processing | Zhi-Quan Luo University of Minnesota | Lind Hall 409 | iPAWS |
| 11:15a-12:15p | Pinning and De-Pinning Phenomena in Materials Interfacial Problems | Aaron Nung Kwan Yip Purdue University | Lind Hall 409 | MS |
Event Legend: |
|
| MS | Materials Seminar |
| iPAWS | Image Processing and Analysis Working Seminar |
| Shi Jin (University of Wisconsin) | Computation of Multivalued Solutions of Nonlinear PDEs |
| Abstract: Many physical problems arising from high frequency waves, dispersive waves or Hamiltonian systems require the computations of multivalued solutions which cannot be described by the viscosity methods. In this talk I will review several recent numerical methods for such problems, including the moment methods, kinetic equations and a level set method. Applications to the semiclassical Schroedinger equation and Euler-Poisson equations, with applications to modulated electron beams in Klystrons, will be discussed. | |
| Adrian Lew (Stanford University) | Modeling and simulation of materials under highly dynamic loads |
| Abstract: The simulation of the mechanical response of materials has been the task of computational mechanics since its inception. Only now, however, can we seriously envision reliable and accurate simulations for materials undergoing highly dynamic loads, such as those generated by impacts, blast and detonation of energetic materials. In this talk I will describe some key algorithmic developments to enable virtual material testing. I will present a class of time-integration algorithms termed Asynchronous Variational Integrators (AVI), designed to accelerate the simulation of multi-physics problems with multiple time scales, and discuss a predictive, multi-scale material model for shock-induced martensitic phase transitions in iron. | |
| Daniel Spirn (University of Minnesota) | Schrodinger Vortices II |
| Abstract: Under the limit of large Ginzburg-Landau parameter, Schrodinger vortices condense down to point particles and satisfy a simple Kirchhoff's Law - just like Euler point vortices. Given some technical variational results, I will describe the proof of vortex dynamics for the Schrodinger-Ginzburg-Landau equations. (This talk is a continuation of the December 8 lecture.) | |
| Peter Takac (Universitaet Rostock) | Elliptic and Parabolic Spectral Problems with the p-Laplacian |
| Abstract: We treat a canonical spectral problem for the Dirichlet p-Laplacian near the first eigenvalue. We give a precise asymptotic formula for large solutions of the spectral problem corresponding to the Fredholm alternative, thus obtaining a priori under various conditions. | |
| Douglas N. Arnold | University of Minnesota | 7/15/2001 - 8/31/2006 |
| Donald G. Aronson | University of Minnesota | 9/1/2002 - 8/31/2005 |
| Gerard Awanou | University of Minnesota | 9/2/2003 - 8/31/2005 |
| Craig Benham | University of California - Davis | 1/1/2005 - 3/15/2005 |
| Antony Beris | University of Delaware | 1/3/2005 - 1/28/2005 |
| Fulvio Bisi | Università di Pavia | 1/8/2005 - 2/5/2005 |
| Maria-Carme Calderer | University of Minnesota | 9/1/2004 - 6/30/2005 |
| Qianyong Chen | University of Minnesota | 9/1/2004 - 8/31/2006 |
| Brian DiDonna | University of Minnesota | 9/1/2004 - 8/31/2006 |
| Ryan S. Elliott | University of Michigan | 1/1/2005 - 6/30/2005 |
| Tim Garoni | University of Minnesota | 8/25/2003 - 8/31/2005 |
| Eugene C. Gartland Jr. | Kent State University | 1/1/2005 - 6/30/2005 |
| Robert Gulliver | University of Minnesota | 9/1/2004 - 6/30/2005 |
| Chuan-Hsiang Han | University of Minnesota | 9/1/2004 - 8/31/2005 |
| Richard D. James | University of Minnesota | 9/1/2004 - 6/30/2005 |
| Shi Jin | University of Wisconsin | 1/4/2005 - 6/30/2005 |
| Sookyung Joo | University of Minnesota | 9/1/2004 - 8/31/2006 |
| Chiu Yen Kao | University of Minnesota | 9/1/2004 - 8/31/2006 |
| Richard Kollar | University of Minnesota | 9/1/2004 - 8/31/2005 |
| Matthias Kurzke | University of Minnesota | 9/1/2004 - 8/31/2006 |
| Oleg Lavrentovich | Kent State University | 1/30/2005 - 2/12/2005 |
| Frederic Legoll | University of Minnesota | 9/3/2004 - 8/31/2006 |
| Adrian Lew | Stanford University | 1/17/2005 - 1/28/2005 |
| Debra Lewis | University of Minnesota | 7/15/2004 - 8/31/2006 |
| Xiantao Li | University of Minnesota | 8/3/2004 - 8/31/2006 |
| Chun Liu | Pennsylvania State University | 9/1/2004 - 6/30/2005 |
| Hailiang Liu | Iowa State University | 1/1/2005 - 6/30/2005 |
| Zhi-Quan Luo | University of Minnesota | 1/27/2005 - 1/27/2005 |
| Mitchell Luskin | University of Minnesota | 9/1/2004 - 6/30/2005 |
| Alexander Panchenko | Washington State University | 1/4/2005 - 1/14/2005 |
| Robert Pego | University of Maryland | 1/18/2005 - 2/18/2005 |
| Peter Philip | University of Minnesota | 8/22/2004 - 8/31/2006 |
| Daniel Phillips | Purdue University | 1/16/2005 - 1/29/2005 |
| Lea Popovic | University of Minnesota | 9/2/2003 - 8/31/2005 |
| Piotr Rybka | Warsaw University | 1/23/2005 - 2/22/2005 |
| Rolf Ryham | Pennsylvania State University | 9/1/2004 - 6/30/2005 |
| Arnd Scheel | University of Minnesota | 7/15/2004 - 8/31/2006 |
| George R Sell | University of Minnesota | 9/1/2004 - 6/30/2005 |
| Tien-Tsan Shieh | Indiana University | 9/1/2004 - 6/30/2005 |
| Daniel Spirn | University of Minnesota | 9/1/2004 - 6/30/2005 |
| Peter J. Sternberg | Indiana University | 8/15/2004 - 6/15/2005 |
| Vladimir Sverak | University of Minnesota | 9/1/2004 - 6/30/2005 |
| Peter Takac | Universitaet Rostock | 1/23/2005 - 2/12/2005 |
| Qi Wang | Florida State University | 1/15/2005 - 5/15/2005 |
| Stephen J. Watson | Northwestern University | 9/1/2004 - 6/30/2005 |
| Baisheng Yan | Michigan State University | 9/1/2004 - 6/30/2005 |
| Aaron Nung Kwan Yip | Purdue University | 1/16/2005 - 6/30/2005 |
| Emmanuel Yomba | University of Ngaoundéré | 10/6/2004 - 8/31/2005 |
| Hui Zhang | Beijing Normal University | 1/20/2005 - 3/1/2005 |
| Johannes Zimmer | Max-Planck-Institute for Math in the Sciences | 1/23/2005 - 2/6/2005 |