University of Minnesota
University of Minnesota
http://www.umn.edu/
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Mathematics of Materials and Macromolecules: Multiple Scales, Disorder, and Singularities, September 2004 - June 2005

IMA Workshop:

Future Challenges in Multiscale Modeling and Simulation

November 18-20, 2004

Organizers:

Thomas Yizhao Hou
Department of Applied Mathematics
California Institute of Technology
hou@ama.caltech.edu
http://www.acm.caltech.edu/~hou

and

Mitchell Luskin
School of Mathematics
University of Minnesota
luskin@math.umn.edu
http://www.math.umn.edu/~luskin/

Schedule Participants Program Application Feedback
Dining Guide Maps
Abstracts
IMA Public Lecture: James D. Murray
Material from Talks

Description:

Multiscale modeling and simulation has emerged as a new research area which has already had a significant impact on many scientific and engineering disciplines. There have recently been many significant, but problem-specific, advances in multiscale analysis, modeling, and simulation. Despite considerable progress in a wide range of the sciences, and a growing awareness of the importance of multiscale approaches, currently there is fragmentation in multiscale methodology and its rigorous analysis across its areas of application. Breakthroughs in specific domains could be applicable in a broader context, but remain isolated. As a result, multiscale descriptions are nowhere near their potential level of impact, including in education and industry.

The purpose of this workshop is to bring leading experts together to discuss the latest developments in their disciplines and to describe the future challenges in multiscale modeling and simulation. The workshop will also provide a special opportunity to connect domain experts from scientific and engineering disciplines with specialists in mathematical and computational analysis. The workshop will also help integrate isolated efforts and diverse developments in different disciplines and provide a unique opportunity to make significant advances.

 

WORKSHOP SCHEDULE
THURSDAY, NOVEMBER 18
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
8:30 Registration and Coffee Reception Room EE/CS 3-176
9:05-9:20 (IMA, Thomas Yizhao Hou/Mitchell Luskin) Opening Remarks
9:20-9:50 Richard D. James
University of Minnesota

Deformable Thin Films: from Macroscale to Microscale and from Nanoscale to Microscale

Slides:   pdf

10:00-10:30 Felix Otto
Universitaet Bonn
The Onset of Switching in Thin Film Ferromagnetic Elements: A Bifurcation Analysis by Gamma-Convergence
10:40-11:10 Coffee Break  
11:10-11:40 Emily A. Carter
Princeton University

Challenges for Quantum-Mechanics-Based Multiscale Modeling

Slides:   pdf

12:00 Lunch Break
2:00-2:30 Andrew Stuart
University of Warwick

Conditional Path Sampling of SDEs and the Langevin MCMC Method

Slides:   pdf

2:40-3:10 James P. Sethna
Cornell University

Deriving Plasticity: Attempts at a Theory for Dislocation Patterning and Work Hardening

Slides:   html    pdf    ps    ppt
Movie:   avi

3:20-3:50 Coffee Break  
3:50-4:20 Yannis G. Kevrekidis
Princeton University

Some Computational Examples of Equation-Free Modeling

Slides:   html    pdf   ps    ppt

4:30-5:00 Open Discussion (moderated by Richard D. James)
5:00-5:15 Group photo
5:15

IMA Tea/James D. Murray Reception (with POSTER SESSION)
400 Lind Hall

Kumud S. Altmayer
University of Arkansas at Pine Bluff
Multi-scale Modeling for a Premalignant Mutation Equation
html    pdf    ps    doc
Ravi Chinnappan
Ford Motor Company
First-Principles Calculation of Stable and Metastable Precipitate Phase Solvus Boundaries in Al-Cu Alloys
Matthias K. Gobbert
University of Maryland, Baltimore County

Multiscale Models for Production Processes in Microelectronics Manufacturing

Slides:   ps

Luigi La Ragione
Cornell University

The Initial Incremental Response of a Random Aggregate of Identical Spheres

Slides:   pdf
Journal:   pdf

Frédéric Legoll
IMA

Analysis of a Prototypical Multiscale Method Coupling Atomistic and Continuum Mechanics

Slides:   pdf

Xiantao Li
IMA
Heterogeneous Multiscale Method for the Modeling of Dynamics of Solids at Finite Temperature
Robert P. Lipton
Louisiana State University
Multi-Scale Stress Analysis for Composite Media
Dionisios Margetis
Massachusetts Institute of Technology
Continuum Theory of Interacting Steps on Crystal Surfaces in (2+1) Dimensions
Daniel Onofrei
Worcester Polytechnic Institute
The Periodic Unfolding Method and Applications to the Homogenization in Perforated Materials and Neumann Sieve
Peter Philip
IMA

Simulation and Control of Sublimation Growth of SiC Bulk Single Crystals

Slides:   pdf

Yi Sun
Princeton University
Heterogeneous Multi-scale Methods for Interface Tracking of Combustion Fronts
Li-Lian Wang
Purdue University

Efficient Spectral Methods Using Generalized Jacobi Polynomials

Slides:   pdf

Olaf Weckner
MIT

The Effect of Long-Range Forces on the Dynamics of a Bar

Poster:   pdf

IMA Public Lecture Series: Math Matters:
James D. Murray (University of Oxford)
The Marriage Equation A Practical Theory for Predicting Divorce and a Scientifically-Based Marital Therapy
7:00 pm, Smith Hall 100
FRIDAY, NOVEMBER 19
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00 Coffee Reception Room EE/CS 3-176
9:20-9:50 Bjorn Engquist
Princeton University
Heterogeneous Multiscale Methods
10:00-10:30 Thomas Yizhao Hou
California Institute of Technology
Multiscale Modeling and Computation of Incompressible Flow
10:40-11:10 Coffee Break  
11:10-11:40 Olivier Pironneau
Université Paris VI

Nuclear Waste Safety of Repository Vaults: A Multi-Scale Problem

Slides:   pdf

12:00 Lunch Break
2:00-2:30 Russel Caflisch
UCLA

Multiscale Modeling of Epitaxial Growth Processes

Slides:   html    pdf    ps    ppt

2:40-3:10 Weinan E
Princeton University
Simple Concepts in Multiscale Modeling
3:20-3:50 Coffee Break  
3:50-4:20 Ken A. Dill
University of California - San Francisco
Protein Folding as a Global Optimization Problem
4:30-5:00 Open Discussion (moderated by Mitchell Luskin)
SATURDAY, NOVEMBER 20
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
9:00 Coffee Reception Room EE/CS 3-176
9:20-9:50 Yalchin Efendiev
Texas A&M University
Upscaling of Geocellular Models for Flow and Transport Simulation in Heterogeneous Reservoirs
10:00-10:30 Achi Brandt
University of California - Los Angeles

From Fast Solvers to Systematic Upscaling

Slides:   html    pdf    ps    ppt

10:40-11:10 Coffee Break  
11:10-11:40 Linda R. Petzold
University of California - Santa Barbara

Multiscale Stochastic Simulation Algorithm with Stochastic Partial Equilibrium Assumption for Chemically Reacting Systems

Slides:   html    pdf    ps    ppt

12:00 Lunch Break
2:00-2:30 Zhiming Chen
Academy of Sciences
On the Upscaling of a Class of Nonlinear Parabolic Equations  pdf
2:40-3:10 Grégoire Allaire
Centre de Mathématiques Appliquées, Ecole Polytechnique

Examples of Multiscale Methods in Shape Optimization

Slides:   pdf

3:20-3:50 Coffee Break  
3:50-4:50 Panel Discussion (moderated by Thomas Yizhao Hou)
Panel Members: Masao Doi, Bjorn Engquist, Christopher Wolverton
4:50-5:00 Concluding Remarks

 

LIST OF CONFIRMED PARTICIPANTS

Name Department Affiliation
Gregoire Allaire Centre de Mathématiques Appliquées Ecole Polytechnique
Kumud S. Altmayer Mathematical Sciences University of Arkansas at Pine Bluff
Douglas N. Arnold Institute for Mathematics and its Applications University of Minnesota
Donald G. Aronson Institute for Mathematics and its Applications University of Minnesota
Patricia Bauman Department of Mathematics Purdue University
Daniel E. Bentil Department of Mathematics & Statistics University of Vermont
Keith Berrier   Rice University
Achi Brandt   Weizmann Institute of Science
Russel Caflisch Department of Mathematics University of California - Los Angeles
Maria-Carme Calderer School of Mathematics University of Minnesota
Enrico Capobianco   Boston University
Tony Carlson Department of Mechanical Engineering University of Minnesota
Emily Carter   University of California - Los Angeles
Qianyong Chen Institute for Mathematics and its Applications University of Minnesota
Zhiming Chen Institute of Computational Mathematics & Scientific/Engineering Computing Chinese Academy of Sciences
Ravi Chinnappan Materials Science & Engineering Ford Motor Company
Shue-Sum Chow Department of Mathematics Brigham Young University
L. Pamela Cook Department of Mathematical Science University of Delaware
Diane L. Denny Department of Mathematics University of Wyoming
Brian DiDonna Institute for Mathematics and its Applications University of Minnesota
Ken A. Dill Department of Pharmaceutical Chemistry University of California - San Francisco
Masao Doi Department of Applied Physics University of Tokyo
Georg Dolzmann Department of Applied Mathematics University of Maryland
Weinan E Department of Mathematics & Applied Computational Mathematics Princeton University
Yalchin Efendiev Department of Mathematics Texas A & M University
Bjorn Engquist Department of Mathematics University of Texas - Austin
M. Gregory Forest Department of Mathematics University of North Carolina
Gilles Andre Francfort Institut Galilee Universite Paris 13
Laura JD Frink Computational Biology Sandia National Laboratories
Matthias Gobbert Department of Mathematics and Statistics University of Maryland - Baltimore County
Robert Gulliver School of Mathematics University of Minnesota
Rohit Gupta Department of Computer Science & Engineering University of Minnesota
Takumi Hawa Process Measurements Division NIST
Michael A. Heroux   Sandia National Laboratories
David J. Horntrop Mathematical Sciences New Jersey Institute of Technology
Thomas Yizhao Hou Department of Applied Mathematics California Institute of Technology
Yinlun Huang Department of Chemcial Engineering & Materials Science Wayne State University
J. Mac Hyman Center for Nonlinear Studies Los Alamos National Laboratory
Richard D. James Aerospace Engineering and Mechanics University of Minnesota
Sookyung Joo Institute for Mathematics and its Applications University of Minnesota
Ning Ju Department of Mathematics Oklahoma State University
Chiu Yen Kao Institute for Mathematics and its Applications University of Minnesota
Markos A. Katsoulakis Department of Mathematics and Statistics University of Massachusetts
Yannis G. Kevrekidis Department of Chemical Engineering Princeton University
Abdul M. Khaliq Department of Mathematics University of Wisconsin - La Crosse
Mi-Young Kim Department of Mathematics Inha University
Bernhard Klampfl Department of Materials Science Klaiss Inc.
Richard Kollar Institute of Mathematics and its Applications University of Minnesota
Martin Kruzik Institute of Information Theory and Automation Czechoslovakian Academy of Sciences
Matthias Kurzke Institute for Mathematics and its Applications University of Minnesota
Yuen Yick Kwan Department of Mathematics Purdue University
Luigi La Ragione   Cornell University
Christopher J. Larsen Department of Mathematical Sciences Worcester Polytechnic Institute
Seong H. Lee Reservoir Simulation Chevron Texaco
Frederic Legoll Institute for Mathematics and its Applications University of Minnesota
Richard Lehoucq Computational Mathematics and Algorithms Sandia National Laboratories
Debra Lewis Institute for Mathematics and its Applications University of Minnesota
Bo Li Mathematics University of California - San Diego
Shengtai Li   Los Alamos National Laboratory
Xiantao Li Institute for Mathematics and its Applications University of Minnesota
Xiaofan Li Department of Applied Mathematics Illinois Institute of Technology
Fanghua Lin Department of Mathematics New York University
Robert P. Lipton Department of Mathematics Louisiana State University
Chun Liu Department of Mathematics Pennsylvania State University
Zuhan Liu   Xuzhou Normal University
Helen H. Lou Department of Chemical Engineerigng Lamar University
John Lowengrub Department of Mathematics University of California - Irvine
Mitchell Luskin School of Mathematics University of Minnesota
Dionisios Margetis Department of Mathematics Massachusetts Institute of Technology
Peter J. Mucha School of Mathematics Georgia Institute of Technology
Daniel Onofrei Department of Mathematics Worcester Polytechnic Institute
Felix Otto Institute for Applied Mathematics University of Bonn
Miao-Jung Yvonne Ou Department of Mathematics University of Central Florida
Eun-Jae Park   BK21 Mathematical Science Division
Jinhae Park School of Mathematics University of Minnesota
Linda R. Petzold Dept of Mechanical & Environmental Engineering University of California - Santa Barbara
Peter Philip Institute for Mathematics and its Application University of Minnesota
Olivier Pironneau Laboratoire Jacques-Louis Lions Université Paris VI
Petr Plechac Mathematics Institute University of Warwick
Vincent C. Prantil Mechanical Engineering Milwaukee School of Engineering
Keith Promislow Department of Mathematics Michigan State University
Rolf Ryham Department of Mathematics Pennsylvania State University
Arnd Scheel Institute for Mathematics and its Applications University of Minnesota
Gilberto Schleiniger Department of Mathematical Sciences University of Delaware
George R Sell School of Math University of Minnesota
James P. Sethna Department of Physics Cornell University
Dongwoo Sheen School of Mathematics Seoul National University-Brain Korea
Jackie Shen School of Mathematics University of Minnesota
Jie Shen Department of Mathematics Purdue University
Tien-Tsan Shieh Department of Mathematics Indiana University
Shagi-Di Shih Department of Mathematics University of Wyoming
Suzanne Shontz Department of Computer Science University of Minnesota
Devashish Shrivastava Radiology Dept. University of Minnesota
Valery P. Smyshlyaev   University of Bath-UK
Peter J. Sternberg Department of Mathematics Indiana University
Andrew M. Stuart Mathematics Institute University of Warwick
Yi Sun Department of Applied and Computational Mathematics Princeton University
Birgit Suttner CT PP 2 Siemens
Vladimir Sverak Department of Mathematics University of Minnesota
Peter Takac Fachbereich Mathematik Universitaet Rostock
Dimitrios Tsagkarogiannis Mathematics and Statistics University of Massachusetts - Amherst
Igor Tsukerman Department of Electrical & Computer Engineering University of Akron
Eric Vanden-Eijnden Courant Institute of Mathematical Sciences New York University
Kodakkal Kannan Viswanathan   Seoul National University (BK21)
David Voss Department of Mathematics Western Illinois University
Li-Lian Wang Department of Mathematics Purdue University
Zhi-Qiang Wang Department of Mathematics & Statistics Utah State University
Stephen J. Watson ESAM Northwestern University
Olaf Weckner Department of Mechanical Engineering Massachusetts Institute of Technology
Christian Wernz Department of Mechanical and Industrial Engineering University of Massachusetts - Amherst
Jon Wilkening Courant Institute of Mathematical Sciences New York University
Steven Matthew Wise Department of Mathematics University of California - Irvine
Christopher Wolverton Physical and Environmental Sciences Ford Motor Company
Baisheng Yan Department of Mathematics Michigan State University
Emmanuel Yomba Faculty of Sciences University of Ngaoundéré
Yanis Yortsos Department of Chemical Engineering University of Southern California
Peng Yu Department of Mathematics Pennsylvania State University
Giovanni Zanzotto DMSA University of Padua

Material from Talks    Abstracts