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 limited financial support covering accomodation for graduate students available. If you wish to receive financial support then fill out this form and upload a recommendation from your supervisor/thesis advisor. We will get back to you as sson as possible to tell you if any funding is still available.

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)

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)

See also:

Mathematics Research Centre

Mathematical Interdisciplinary Research at Warwick (MIR@W)

Past Events 

Past Symposia