Project Purple


Welcome to the wiki page of

Project Purple
Geometric theory of semilinear problems

coordinated by Alexander Ostermann (Innsbruck).

The group members are:

  • Maryna Kachanovska (Leipzig)
  • Hannes Meinlschmidt (Darmstadt)
  • Adrian Viorel (Cluj-Napoca)

The project description can be downloaded from here.

Discussion of Project Purple.


  1. F. Alouges and A. Debussche: On the discretization of a partial differential equation in the neighborhood of a periodic orbit. Numer. Math. 65 (1993) 143-175
  2. D. Henry: Geometric Theory of Semilinear Parabolic Equations. LNM 840, Springer, Berlin (1981)
  3. Ch. Lubich, A. Ostermann: Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization. Numer. Math. 81 (1998) 53-84
  4. Ch. Lubich, A. Ostermann: Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: Nonsmooth-data error estimates and applications to long-time behaviour. Applied Numerical Math. 22 (1996) 279-292
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