Oxford-Princeton Workshop 
on
Multiscale Problems

Room L3, Mathematical Institute, Oxford

Friday 10 May-Saturday 11 May 2002

This interdisciplinary workshop will focus on techniques for bridging different length-scales, especially in problems arising in materials science, biology and chemistry.

The workshop forms part of, and is supported by, the Oxford-Princeton Mathematics Research Collaboration. It is linked to a related workshop Computing Across Different Scales to be held at Warwick University on 13 May 2002, and is also supported by a grant from the London Mathematical Society.

For further information contact John Ball. Travel information available here.
 
 

Programme


Friday 10 May


9.10 - 9.15       Opening remarks
9.15 - 10.00 Weinan E (Princeton)
     Numerical methods for multiscale problems in material science
10.00 - 10.45 Endre Suli (Oxford)
     Analysis of a class of two-scale finite element methods
Coffee
11.15 - 12.00 Florian Theil (Warwick)
     From atomistic to continuum models: The Cauchy-Born rule
12.00 - 12.45 Mark Sansom (Oxford)
     Molecular simulations of ion channels: looking beyond the 
     nanosecond timescale
Lunch 
2.00 - 2.45 Ioannis Kevrekedis (Princeton)
     Equation-free multiscale computation
2.45 - 3.30 David Pettifor (Oxford)
     Bond-order potentials : bridging the electronic to atomistic modelling
     hierarchies
Tea
4.00 - 4.35 Sergei Dudarev (Culham)
     From molecular dynamics to the evolution of microstructure of 
     fusion materials
4.35 - 4.55 Alain Forclaz (Oxford)
     Metastability in martensite
4.55 - 5.15 Kirill Cherednichenko (Oxford)
     Higher-order homogenised equations for nonlinear periodic media
5.15 - 5.35 Anja Schloemerkemper (Oxford)
     Continuum limit of a magnetic force
5.35 - 5.55  Constantinos Siettos (Princeton)
     Some control considerations in microscopic simulations
6.00 - 7.00      Drinks - Mathematics Common Room
       

Saturday 11 May


9.15 - 10.00 Bjorn Engquist (Princeton)
     The heterogeneous multiscale method
10.00 - 10.45 Paul Madden (Oxford)
     Representation of many-body effects in interionic interactions -
     consequences for phase behaviour and interfaces
Coffee
11.15 - 12.00 Tom Pence (Michigan State and Glasgow)
     Multi-field models for displacive phase transformation in polycrystals
12.00 - 12.45 Andrew Stuart (Warwick)
     Algorithms for extracting macroscopic stochastic dynamics