2.3. Differential
Equations, Dynamical Systems and Numerical Analysis
Programme leaders: A. Doelman, C.J. van Duijn
Description of the programme. The main theme of this programme
is the analysis of non-linear differential equations and dynamical systems, from
low-dimensional systems such as maps (or discrete systems) and ordinary
differential equations, to high-dimensional systems, such as partial
differential equations and lattice equations. It is the aim of the programme to
develop fundamental insight in the complex behavior exhibited by non-linear
systems. The combination and cross-fertilization of mathematical analysis and
numerical methods plays an essential role in this context. The character of the
scientific research may be of a pure mathematical nature, but can also be mostly
numerical. The motivation may be intrinsically mathematical, or can be driven by
interactions with applications. Status of the programme. On
the one hand, the mathematical theory of nonlinear systems has developed in an
almost explosive fashion in recent years. On the other hand, non-linear systems
are a natural link between mathematics and a growing number of related
disciplines, or applications, such as physics, biology, economics, etc. In other
words, the field of differential equations, dynamical systems and numerical
analysis has a pivotal position, both within mathematics and between mathematics
and its applications. Within this programme, close cooperation exists
with research groups in Atlanta, Bath, Bonn, Bordeaux, Boston, Houston, Madrid,
Minneapolis, Nottingham, Paris, Parma, Pittsburgh, Providence, Princeton,
Sapporo, Tel Aviv, Warwick, etc. Research staff (situation at January 1, 2007) - Permanent
staff
- Dr. J.B. van den Berg (VUA)
- Prof.dr. A.
Doelman (UvA/CWI)
- Dr. J.H. Brandts (UvA)
- Dr. B. Rink (VUA)
- Dr.ir. R. Duits (TUE)
- Prof.dr.ir.
C.J. van Duijn (TUE)
- Dr. J.C. Engwerda (UvT)
- Dr. G.M.
Hek (UvA)
- Prof.dr. P.W. Hemker (UvA/CWI)
- Dr. W. Hoffmann
(UvA)
- Dr. A.J. Homburg (UvA)
- Prof.dr. R. van der Hout
(UL)
- Prof.dr. J. Hulshof (VUA/CWI)
- Dr. J.F. Kaashoek
(EUR)
- Prof.dr.ir. L.A. Peletier (UL)
- Prof.dr. M.A.
Peletier (TUE)
- Dr. R. Planqué (VUA)
- Dr. I.S. Pop (TUE)
- Dr. G. Prokert (TUE)
- Prof.dr.
M.N. Spijker (UL)
- Prof.dr. S.M. Verduyn Lunel (UL) (from programme 2.1)
- Prof.dr. J.G. Verwer (UvA/CWI)
- Dr. R.G. de Vilder (UvA)
- Dr. R.A.C.M. van der Vorst (VUA)
- Post Docs
- Dr. F. Pasquotto (VUA)
- Dr. A. Zagaris (UvA/CWI)
- Ph.D. students
- Drs. M. Ashyraliyev (UvA/CWI-NWO)
- M. Dobrzynski, MSc (UvA/CWI-NWO)
- Drs. R. Driesse (UvA)
- Drs. H. Elrofai (VUA)
- Drs.ir. D. Echeverria (UvA/CWI-IOP)
- Drs. Y. van Gennip (TUE)
- V. Guyonne Msc.(VUA)
- Drs. J. Hazewinkel (UvA/NIOZ)
- Drs. P.J.A. van Heijster (UvA/CWI)
- M. Kramar, MSc (VUA)
- Drs. A. Kuut (UvA/CWI-NWO)
- N.N. Pham Thi Msc. (UvA/CWI-NWO)
- V. Savcenko, MSc
(UvA/CWI-NWO)
- M. Vargas
Rivera (VUA)
- Ir. E. Vondenhoff (TUE)
- Ir. J. Wackers
(TUD/CWI-BSIK)
- Drs. W. Wojcik (VUA)
- Drs. H. Zmarrou
(UvA)
- CWI-participants:
- Drs. J.G.
Blom
- Prof.dr. U. Ebert
- Dr. L.M. Ferracina
- Dr.ir. J.E. Frank
- Dr. W.H. Hundsdorfer
- Prof.dr.ir. B. Koren
- Dr. D. Lahaye (NWO)
- Drs. M. Nool
- Dr. ir. M. van Raalte (IOP)
- Dr. B.P. Sommeijer
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