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MASDOC Applied Mathematics Summer School

2-6 July 2012

Organisers: Charlie Elliott, Andreas Dedner (Warwick)


This summer school is in two parts which may be attended separately:

Part 1: Applied and Numerical Analysis of PDEs and SDEs
Part 2: Warwick/NAIS Dune School

The school is held at the Mathematics Institute at the University of Warwick

Supported by EPSRC, NAIS and SIAM.


REGISTRATION:

Please register in advance since there is only a limited number of spaces available.
The Maths Research Center (MRC) can help with booking accommodation after registration.

Financial Support:

There is no financial support available anymore.


Part 1: Applied and Numerical Analysis of PDEs and SDEs

Monday - Wednesday 2 - 4 July 2012

Lecturers

Stig Larsson (Chalmers, Gothenburg) Finite element methods for stochastic PDEs (abstract)

Topics:-stochastic heat equation, stochastic wave equation, stochastic Cahn-Hilliard equation, Wiener process, stochastic integral, finite element method, Euler-Maruyama method, strong convergence, weak convergence.

Michael Hintermuller (Humboldt, Berlin) Optimisation and control of PDEs (abstract)

Topics: first order optimality conditions, nonlinear complementarity systems and equivalent forms; Newton-differential and its calculus, semismoothness and generalized Newton methods; Discrete concepts, mesh independence and adaptive discretization.

Greg Pavliotis (Imperial College, London) Multiscale methods for SDEs and PDEs (abstract)

Topics:analytical techniques for studying deterministic and stochastic problems with multiple scales. Homogenization theory for linear elliptic, parabolic and transport PDEs, averaging and homogenization for fast/slow (singularly perturbed) systems of SDEs.


Schedule (tentative)

Monday

Tuesday

Wednesday

9:00 9:45 Registration
9:45 10:30 Stig Larsson
10:30 11:15 Tea/Coffee break
11:15 12:45 Michael Hintermuller
12:45 14:00 Lunch break
14:00 15:30 Greg Pavliotis
15:30 16:15 Tea/Coffee break
16:15 17:00 Stig Larsson
9:00 10:30 Michael Hintermuller
10:30 11:15 Tea/Coffee break
11:15 12:45 Greg Pavliotis
12:45 14:00 Lunch break
14:00 15:30 Stig Larsson
15:30 16:15 Tea/Coffee break
16:15 17:15 Michael Hintermuller
   
9:00 10:30 Greg Pavliotis
10:30 11:15 Tea/Coffee break
11:15 12:15 Stig Larsson
12:30 14:00 Lunch break
     
     
     
     



Part 2: Warwick/NAIS Dune School

Wednesday - Friday 4 - 6 July 2012

This is the second Warwick/NAIS Dune School. The first school was held in June 2011.

This part of the school provides an introduction to the Dune software framework. Dune is a free open source library providing interfaces for the implementation of numerical schemes for solving partial differential equations. There is a wide variety of grid based methods implemented within the Dune framework, covering finite-element, discontinuous Galerkin, and finite volume schemes. The methods can be used on different grid structures and dimensions, from structured to locally adapted grids to and from 1d to 3d including grids on manifolds.

The course will provide the participants with hands on experience in using Dune through practical sessions and provide some background on the methodology used through lectures. The practicals will cover finite-element for elliptic problems to discontinuous Galerkin methods for non-linear evolution equations. Parallelization and grid adaptivity will also be covered.

Lecturers

Andreas Dedner (University of Warwick, Coventry)
Martin Nolte (University of Freiburg, Freiburg)

Schedule (tentative)

Wednesday

Thursday

Friday










12:00 14:00 Registration
14:00 15:30
Introduction to Dune
15:30 16:00 Tea/Coffee break
16:00 18:00 Introduction to Dune
9:00 10:30 Finite-Element methods
10:30 11:15 Tea/Coffee break
11:15 12:45 Finite-Element methods
12:45 14:00 Lunch break
14:00 15:30 Time dependent problems
15:30 16:15 Tea/Coffee break
16:15 18:00 Time dependent problems
9:00 10:30 DG methods
10:30 11:15 Tea/Coffee break
11:15 12:15 DG methods
12:30 14:00 Lunch break
14:00 16:00 Non-linear systems
     
     



Aerial photograph of Maths Houses

See also:
Mathematics Research Centre
Mathematical Interdisciplinary Research at Warwick (MIR@W)
Past Events 
Past Symposia 

Internet Access at Warwick:
Where possible, visitors should obtain an EDUROAM account from their own university to enable internet access whilst at Warwick.
If you need WiFi whilst at Warwick, click here for instructions (upon arrival at Warwick)
Registration:
You can register for any of the symposia or workshops online. To see which registrations are currently open and to submit a registration, please click here.
Contact:
Mathematics Research Centre
Zeeman Building
University of Warwick
Coventry CV4 7AL - UK
E-mail:
mrc@maths.warwick.ac.uk