Project name: Analysis, Asymptotics and Computing (MAS1.2)

Of research group: Dynamical Systems and Numerical Analysis

Coordinator of this project: Jan Verwer
Startdate: 1998-01-01
Enddate: 2002-12-31

This subtheme collects a number of mathematical research projects in the areas applied analysis, asymptotics, special functions and numerical analysis. The emphasis is on partial differential equations.

Members
Carlota Cuesta, Hans van Duijn, Jason Frank, Ignacio Guerra, Joost Hulshof, Willem Hundsdorfer, Mark Peletier, Nico Temme.

Projects of MAS1.2

PDE1

Symmetries and self-similar structures in diffusion equations
PhD project I.A. Guerra Benavente.
Supervisors C.J. van Duijn (TUE) and M.A. Peletier.
Period : 1999 - 2002
 

PDE2

Infiltration in porous media with dynamic capillary pressure
PhD project C.M. Cuesta.
Supervisor J. Hulshof (VU).
Period : 1998 - 2002
 

PDE3

Sparse grid methods for time-dependent PDEs
PhD project B. Lastdrager.
Supervisors J.G. Verwer and B. Koren (MAS2).
Period : 1998 - 2002
 

PDE4

Geometric methods and smoothed particle hydrodynamics
Continuation of the research of J. Frank carried out in the joint CWI-GMD project during 2000-2001.
Period : 2002 - end of theme
Partners : Imperial College London (S. Reich), The Center for Math. Modelling Univ. of Leicester (B. Leimkuhler).
 

MECH

Mechanical problems
The challenge in this long-running project is to mathematically understand the collapse behaviour of long elastic structures. Project M.A. Peletier.
Period : 1999 - end of theme.
Partners : Center for Nonlinear Mechanics, Bath (C. J. Budd, G. W. Hunt), Heriot-Watt University (G. J. Lord).
 

ASF

Asymptotics and special functions
Partly contract research for the revision of the Abramowitz & Stegun Handbook. Project N.M. Temme.
Period : 1999 - end of theme
Partners : Univ. Madrid (Segura), Univ. of A'dam (Koornwinder), Abramowitz-Stegun group.
 

NSDAR

Numerical solution of time-dependent advection-diffusion-reaction equations
W. Hundsdorfer (MAS3) and J.G. Verwer.
Period : 2000 - 2003

Project reports
Reports of Analysis, Asymptotics and Computing