1 July - 31 December 1995

**Organisers**: P Constantin (*Chicago*), JD Gibbon (*Imperial College, London*), JK Hale (*Georgia Tech*), C Sparrow (*Cambridge*). ASI Organiser: P Glendinning (*Cambridge*)

9-13 October 1995

Organiser: E.S.Titi

To register for the workshop please contact m.sekulla There will be a reg. fee of 20 pounds to cover the cost of lunch etc.

Monday 9 October

- 10:00 - 11:00 J Gibbon (Imperial):- Small Scales in the 2-D Navier-Stokes Equations
- 11:00 - 11:30 Coffee
- 11:30 - 12:30 J Robinson (Cambridge):- Convergent inertial manifolds for some approximate schemes
- 12:30 - 14:00 Lunch
- 14:00 - 15:00 D Jones (Los Alamos):- Nonlinear difference schemes for barotropic ocean models
- 15:00 - 16:00 M Chen (Penn State):- Nonlinear Galerkin method in the finite difference case: ``Incremental Unknown'' method
- 16:00 - 16:30 Tea
- 16:30 - 17:30 B Birnir (Santa Barbara):- The homogenization of the Navier-Stokes equations, and applications

Tuesday 10 October

- 09:30 - 10:30 L Dettori (Brown):- A nonlinear Galerkin method in the collocation case
- 10:30 - 11:00 Coffee
- 11:00 - 12:00 I D Chueshov (Kharkov):- Approximate inertial manifolds of exponential order for semilinear parabolic equations subject to white noise
- 12:00 - 14:00 Lunch
- 14:00 - 15:00 A Mahalov (Arizona State):- Global attractors for 3D rotating turbulence
- 15:00 - 15:30 Tea
- 15:30 - 16:30 B Nicolaenko (Arizona State):- Inertially stable algorithms for Navier-Stokes turbulent flows
- 16:30 Reception, Newton Institute

Wednesday 11 October

- 9:30 - 10:30 B Garcia Archilla (Madrid):- AIM-postprocessed Galerkin and the nonlinear Galerkin methodli>
- 10:30 - 11:00 Coffee
- 11:00 - 12:00 R Bronstering (M"unster):- Some computational aspects of AIMs and finite differencesi>
- 12:00 - 13:00 M Trummer (Vancouver):- Some effects of space-disetization on inertial manifold computations
- 13:00 - Lunch
- Free Afternoon

Thursday 12 October

- 09:30 - 10:30 G Nabh (Heidelberg):- Nonlinear Galerkin methods in the finite element case
- 10:30 - 11:00 Coffee
- 11:00 - 12:00 A Milani (Milwaukee):- Global existence and asymptotics for quasilinear parabolic equations
- 12:00 - 14:00 Lunch
- 14:00 - 15:00 G Lord (Bristol):- Attractors and inertial manifolds for finite difference approximations of the Complex Ginzburg--Landau equation
- 15:00 - 15:30 Tea
- 15:30 - 16:30 P Fabrie (Bordeaux):- Uniform convergence of inertial set under time discretization for a model of natural convection in porous medium

Friday 13 October

- 09:30 - 10:30 M Jolly (Indiana):- Computations on inertial manifolds
- 10:30 - 11:00 Coffee
- 11:00 - 12:00 A Doelman (Utrecht):- Breaking the hidden symmetry in the Ginzburg-Landau equation
- 14:00 - 15:00 P Bates (Utah):- A Hartman-Grobman Theorem for semiflows in Banach space
- 15:00 - 15:30 Tea
- 15:30 - 16:30 G Sell (Minneapolis):- A new approach to inertial manifolds