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LMS-EPSRC Short Course on Multiscale Methods

Monday 16 – Friday 20 April 2007

Timetable

(all days have the same format)

Lecture Notes by G Pavliotis and A Stuart 

Sunday 15 April 2007

4:00–6:00 Tea & Welcome - Mathematics Institute Common Room, Zeeman Building
6:00–7:00 Dinner - Mathematics Institute Common Room, Zeeman Building

Monday 16 April 2007

9:30–10:45 A Stuart (Warwick) Averaging and homogenization for finite dimensional systems of linear equations
10:45–11:30 Coffee/Tea in Mathematics Institute Common Room
11:30–12:45 G Pavliotis (Imperial) PDEs – Elliptic PDEs. Formal calculations and examples
12:45–2:15 Lunch in Mathematics Institute Common Room
2:15–3:15 Guest speaker: J Willis (Cambridge) Elastodynamics of composites
3:15–4:00 Coffee/Tea in Mathematics Institute Common Room
4:00–5:30 Tutorial Session
5:30 for 6:00 Dinner in Mathematics Institute Common Room<

Tuesday 17 April 2007

9:30–10:45 A Stuart (Warwick) Stochastic Processes: Introduction to SDEs (Ito formula, Kolmogorov and Fokker-Planck equations; ergodicity)
10:45–11:30 Coffee/Tea in Mathematics Institute Common Room
11:30–12:45 G Pavliotis (Imperial) PDEs – Parabolic PDEs. Formal calculations and examples
12:45–2:15 Lunch in Mathematics Institute Common Room
2:15–3:15 Guest speaker: B Engquist (Austin) Heterogeneous multi-scale methods
3:15–4:00 Coffee/Tea in Mathematics Institute Common Room
4:00–5:30 Tutorial Session
6:00 Dinner at Xanana in the Students' Union Building, University of Warwick

Wednesday 18 April 2007

9:30–10:45 A Stuart (Warwick) Stochastic Processes: Averaging. Formal calculations and examples
10:45–11:30 Coffee/Tea in Mathematics Institute Common Room
11:30–12:45 G Pavliotis (Imperial) PDEs – Transport. Formal calculations and examples
12:45–2:15 Lunch at EAT restaurant in the University of Warwick Arts Centre
2:15–3:15 Guest speaker: A Abdulle (Edinburgh) Numerical methods based on a macro-to-micro approach for multiscale PDEs
3:15–4:00 Coffee/Tea in Mathematics Institute Common Room
4:00–5:30 Tutorial Session
5:30 for 6:00 Dinner in Mathematics Institute Common Room

Thursday 19 April 2007

9:30–10:45 A Stuart (Warwick) Stochastic Processes: Homogenization. Formal calculations and examples
10:45–11:30 Coffee/Tea in Mathematics Institute Common Room
11:30–12:45 G Pavliotis (Imperial) PDEs – Properties of the homogenized coefficients
12:45–2:15 Lunch in Mathematics Institute Common Room
2:15–3:15 Guest speaker: G Friesecke (Munich/Warwick) Quantum mechanical modelling of molecules: multiscale aspects
3:15–4:00 Coffee/Tea in Mathematics Institute Common Room
4:00–5:30 Tutorial Session
5:30 for 6:00 Dinner in Mathematics Institute Common Room

Friday 20 April 2007

9:30–10:45 A Stuart (Warwick) Stochastic Processes: Theory – use of Poisson equations, weak and strong convergence
10:45–11:30 Coffee/Tea in Mathematics Institute Common Room
11:30–12:45 G Pavliotis (Imperial) PDEs – Theory – two-scale convergence; maximum principle
12:45–2:15 Lunch in Mathematics Institute Common Room
2:15–3:15 Guest speaker: Y Efendiev (Texas A&M) Multiscale finite element methods using limited global information
3:15–4:00 Coffee/Tea in Mathematics Institute Common Room
4:00–5:30 Tutorial Session
6:00 Wine, juices and snacks in Mathematics Institute Common Room




How to get to
Warwick University

Contact:
Mathematics Research Centre
Zeeman Building
University of Warwick
Coventry CV4 7AL - UK
E-mail:
mrc@maths.warwick.ac.uk
 
 
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