Numerical Methods for Evolution  Equations

Heraklion, Crete,  20-21 September 2002

PROGRAM

FRIDAY 20-9

9:20-9:30  Opening

9:30-11:00___________________________________________________________________________________

Michel Crouzeix, Around a von Neumann theorem

Alexander Ostermann, Stability of operator splitting

Cesar Palencia, A differentiable, non-holomorphic calculus for elliptic operators
in divergence form

Coffee break

11:30-13:00___________________________________________________________________________________

Ian Sloan, A non-time-stepping approach to parabolic problems

Anita Hansbo, Unfitted FEM's, based on Nitsche's method, for interface problems and mesh patching

Nicolai Bakaev, Parabolic problems with distribution-valued initial data under
discretization

Lunch break

2:30-3:30______________________________________________________________________________________

VidarThomee, Resolvent estimates in L_p for discrete Laplacians on irregular meshes

Rolf Grigorieff, Resolvent estimates for second order differential operators,
a continuation

Coffee break

4:00-5:30_____________________________________________________________________________________

Benoit Perthame, Rate of convergence in the viscosity method without BV bounds

Alain LeRoux, On Hyperbolic Systems with a Source Term

Theodoros Katsaounis, Second order kinetic schemes for the St. Venant system

SATURDAY 20-9

9:30-11:00___________________________________________________________________________________________

Georgios Akrivis,Galerkin time-stepping schemes for nonlinear parabolic equations

Raphaele Herbin, Mathematical study of a petroleum-engineering schemefor a system of nonlinear parabolic equations

Marie-Noelle LeRoux, Numerical Solutions to Slow Diffusion Problems

Coffee break

11:30-13:00_________________________________________________________________________________________

Jacques Rappaz, About a phase field model for the solidification of a binary alloy

Michael Plexousakis, Numerical investigation of blow-up phenomena associated
with a nonlinear heat equation

Andreas Karagheorgis, An efficient spectral collocation algorithm for the solution
of the Helmholtz equation in a rectangle

Lunch break

2:30-4:00____________________________________________________________________________________________

Stig Larsson, Error estimates for a finite element approximation of a stochastic
parabolic partial differential equation

Mario Ohlberger,Higher order finite volume methods on selfadaptive grids for convection

dominated reactive transport problems in porous media

Georgios Zouraris, A finite difference method for the 'parabolic' equation with a
dynamical boundary condition

Coffee break

4:30-6:00_____________________________________________________________________________________________

Thierry Gallouet, Homogenization and numerical schemes

Giuseppe Savare, Error estimates for the variational formulation of evolution
equations through the Wasserstein distance

Charalambos Makridakis, A posteriori estimates for a class of time-stepping schemes