Multiscale Mathematics Research Project


Conferences

  1. S. Prudhomme, On the Coupling of Atomistic-Continuum Models and the Control of Multi-Scale Simulations, Invited presentation given at MAFELAP, Brunel University, United Kingdom, June 13-16, 2006. 
    

    
  2.  J. T. Oden, 
         Adaptive Multi-scale Modeling of Complex System,
         Keynote lecture presented at the 
         7th World Congress on Computational Mechanics,
         Los Angeles, California, July 16-22, 2006.
    
    

    
  3.  S. Prudhomme,
         Error Control for Atomistic/Continuum Simulations,
         Invited presentation given at the 
         7th World Congress on Computational Mechanics,
         Los Angeles, California, July 16-22, 2006.
    
    

    
  4.  C. Jhurani,
         Dimensional Reduction for Molecular Statics Problem using
         h-p Adaptivity,
         presented at the 
         7th World Congress on Computational Mechanics,
         Los Angeles, California, July 16-22, 2006.
    
    

    
  5.  P. T. Bauman, 
         Application of Goal-oriented Adaptivity to Multiscale
         Models in Molecular Dynamics,
         presented at the 
         7th World Congress on Computational Mechanics,
         Los Angeles, California, July 16-22, 2006.
    
    

    
  6.  J. T. Oden, 
         Estimation and Adaptive Control of Modeling Error
         with Applications to Multi-scale Modeling,
         presented at the 
          Second LNCC Meeting on Computational Modeling,
         Petropolis, Rio de Janeiro, Brazil, August 8-11, 2006.
    
    

    
  7.  J. T. Oden, 
         Estimation and Adaptive Control of Modeling Error
         in Multiscale Molecular Systems,
         presented at the 
         France-USA Conference on Applied and Numerical PDEs 
         on the occasion of the Seventieth Anniversary of Roland Glowinski,
         University of Houston, Houston, Texas, March 09, 2007.
    
    

    
  8.  S. Prudhomme,
         Adaptive Control of Modeling Error for an Atomistic-to-Continuum Coupling Method,
         Presented at the
         Ninth U.S. National Congress on Computational Mechanics,
         San Francisco, California, July 23-26, 2007.
    
    

    
  9.  P. T. Bauman,
         Adaptive Multiscale Modeling of Polymers with Arlequin Coupling,
         Presented at the
         Ninth U.S. National Congress on Computational Mechanics,
         San Francisco, California, July 23-26, 2007.
    
    

    
  10.  S. Prudhomme,
         On an Adaptive Approach for Atomistic-to-Continuum Coupling Methods, 
         Keynote lecture presented at 
         ADMOS 2007,
         Göteborg, Sweden, October 22-24, 2007.
    
    

    
  11.  S. Prudhomme,
         On the Control of the Position and Size of the Overlap Region in an 
         Atomistic-to-Continuum Coupling Method, 
         Invited presentation given at  the
         SIAM Conference on Mathematical Aspects of Materials  Science,
         Philadelphia, PA, May 11-14, 2008.
    
    

    
  12.  L. Chamoin, 
         A Coupling Method to Perform Monte-Carlo Simulations at Atomic Scale, 
         Invited presentation given at  the
         SIAM Conference on Mathematical Aspects of Materials Science,
         Philadelphia, PA, May 11-14, 2008. 
    
    

    
  13.  S. Prudhomme,
         Estimation of Modeling Errors for a Coupling Method, 
         Presentation given at  the 
         8th World Congress on Computational Mechanics (WCCM VIII) and
          5th European Congress on Computational Methods in Applied Science and 
          Engineering (ECCOMAS V),
         Venice, Italy, June 30--July 4, 2008.
    
       



    


    Seminars


    
    
    
    
  1.  S. Prudhomme,
         Contrôle des Erreurs pour les Simulations Numériques,
         Seminar
         given at Ecole Centrale de Paris, 
         Châtenay-Malabry, France, June 1, 2006.
    
    

    
  2.  J. T. Oden, 
         Estimation and  control of modeling error:
         A General approach to multiscale modeling,
         Seminar presented at the 
          National Academy of Engineering Lecture, Mississippi State University,
         Starkville, Mississippi, October 16, 2006.
    
    

    
  3.  J. T. Oden, 
         Estimation and Adaptive Control of Modeling Error: 
         A General Approach to Multi-scale Modeling,
         Seminar presented at the
         Lawrence Livermore National Laboratory, 
         CA, August 22, 2007.
    
    

    
  4.  J. T. Oden, 
         Adaptive Multi-scale Modeling of Large-Scale Molecular Systems,
         Seminar presented at the
         Frontiers of Scientific Computing Lecture Series,
         Center for Computation and Technology, Louisiana State University, 
         Baton Rouge, LA, September 12, 2007.
    
    

    
  5.  S. Prudhomme,
         Estimation and Control of Approximation Errors 
         for Atomistic-to-Continuum Coupling Methods, 
         Seminar
         given at Kungliga Tekniska Högskolan (KTH),
         Stockholm, Sweden, October 25, 2007.
    
    

    
  6.  J. T. Oden, 
         Adaptive Control of Multiscale Models:
         A General Approach to Multiscale Modeling of Large Molecular Systems,
         Seminar presented at the
         The Winter Quarter ICME Colloquium,
         Stanford University, 
         Palo Alto, CA, February 4, 2008.
    
    

    
  7.  J. T. Oden, 
         Mathematical and Computational Methods for Multi-scale Modeling,
         Seminar presented at the
         The Mathematics Colloquium,
         The University of Texas at Arlington, 
         Arlington, TX, February 29, 2008.
    
    

    
       



    


    Workshops


    
    
    
    
  1.  J. T. Oden, 
         Adaptive Modeling for Multi-scale Methods,
         presented at the
          AtC Coupling Methods Workshop, 
         Albuquerque, NM, March 20-21, 2006.
    
    

    
  2.  S. Prudhomme,
         Adaptive Multi-Scale Molecular Modeling of Polymeric Materials,
         Invited presentation given at
         Challenges in Computational Mechanics Workshop,
         Cachan, France, May 10-12, 2006.
    
    

    
  3.  J. T. Oden, 
         Adaptive Control of Multi-scale Modeling Error, with 
         Applications to Large-Scale  Molecular Systems,
         presented at the
         Applied Mathematics PI Meeting, 
         Lawrence Livermore National Laboratory,
         CA, May 22, 2007.
    
    

    
  4.  S. Prudhomme,
         Adaptive Modeling for Atomistic-to-Continuum Coupling Methods,
         Invited presentation given at
         Mathematisches Forschungsinstitut Oberwolfach,
         Oberwolfach-Walke, Germany, June 10-16, 2007.
    
    

    
  5.  S. Prudhomme,
         A posteriori Error Estimation and Adaptive Methods for the Control 
         of Discretization and Modeling Errors, 
         Invited presentation given at the 
         ACE Workshop: Management of Numerical Errors in Nuclear Systems Modeling, 
         North Carolina State University 
         Raleigh, NC, September 13-14, 2007.
    
    

    
  6.  J. T. Oden, 
         Multi-scale Modeling of Complex Systems,
         presented at the
         Mathematics, Analysis, Modeling, Optimization (MAMOS) Workshop, 
         Austin, TX, October 15-19, 2007.
    
    

    
  7.  J. T. Oden, 
         Estimation and Control of Modeling Errors in Multiscale Simulations,
         presented at the
         Summer Workshop on Multiscale Modeling and Analysis, 
         Austin, TX, August 4-8, 2008.
    
    

    
  8.  C. Jhurani, 
         
         Multiscale Modeling Using Goal-oriented Adaptivity and Numerical Homogenization,
         presented at the
         Summer Workshop on Multiscale Modeling and Analysis, 
         Austin, TX, August 4-8, 2008.
    
    
    
       



    


    Meeting Presentations


    
           
    
  1.  (10/26/2005) Chetan Jhurani,
         "Introduction to 
         Statistical Polymer Modeling".
    
    

    
  2.  (01/18/2006) Brook Chao, 
         "Arrhenius Relation in 
         Kinetics of Reaction".
    
    

    
  3.  (01/11/2006) Elizabeth Collister, 
         "Step and Flash Imprint 
         Lithography".
    
    

    
  4.  (01/18/2006) Jeff Byers, 
         "Energy Potentials".
    
    

    
  5.  (04/25/2006) Paul Bauman, 
         "Determination of a Continuum Model 
         from Numerical Homogenization of a Lattice Model".
    
    

    
  6.  (08/23/2006) Elizabeth Collister, 
         "Polymerization Statistics".
    
    
         
    
  7.  (10/11/2006) Elizabeth Collister, 
         "Some Quick Properties of 
         Polymers and PMMA".
    
    
         
    
  8.  (12/13/2006) Greg Rodin, 
         "Macroscopic Stresses and Strains".
    
    

    
  9.  (01/10/2007) Paul Bauman, 
         "An Overview of the UT DOE MMM 
          Project".
    
    

    
  10.  (03/12/2007) Serge Prudhomme, 
         "Polymer Modeling in 2D".
    
    

    
  11.  (08/06/2007) Paul Bauman, 
         "Progress Report: Shrinkage Examples and
         Error Estimation".
    
    

    
  12.  (09/07/2007) Pearl Flath, 
         "Fast Algorithms for Uncertainty
         Estimation and Propagation in Large Scale Linear Dynamical Systems".
    
    

    
  13.  (10/17/2007) Ludovic Chamoin, 
         "A Coupling Method to Perform 
          Monte-Carlo Simulations at Atomic Scale".
    
    

    
  14.  (11/14/2007) Chetan Jhurani, 
         "Adaptive Homogenization".
    
    

    
  15.  (12/05/2007) Paul Bauman, 
         "Some Results of Adaptive Modelling of Polymers".
    
    

    
  16.  (02/10/2008) Chetan Jhurani, 
         "Wavelet and Numerical Homogenization".
    
    

     
  17.  (02/18/2008) Ludovic Chamoin, 
         "Correcting Ghost forces
         and Other Spurious Effects in AtC Coupling Methods".
    
    

    
  18.  (04/07/2008) Chetan Jhurani, 
         "Homogenization Results in 2-D
         and Introduction to the Moore-Penrose Pseudoinverse".
    
    

    
  19.  (05/05/2008) Brent Kraczek, 
         "Working Towards an Atomistic-continuum 
         Approach to Solvation".
    
    

    
  20.  (05/19/2008) Ludovic Chamoin, 
         "A Coupling Method to Perform 
          Monte-Carlo Simulations at Atomic Scale".
    
    

    
  21.  (09/08/2008) Chetan Jhurani, 
         "Local Homogenization and Computations".
    
    

    
  22.  (09/29/2008) Brent Kraczek, 
         "Solving the Poisson-Boltzmann 
         Equation".