Dobbiaco (Bolzano - Italy), June 28 - July 2, 2004

The Dipartimento di Matematica e Informatica of the University of Trieste and the Institut für Technische Mathematik, Geometrie und Bauinformatik of the University of Innsbruck in collaboration with the Centro Culturale Grandhotel Dobbiaco - Kulturalzentrum Grandhotel Toblach are organizing a Summer School on "Numerical Methods for Evolution Equations"  in Dobbiaco (Bolzano - Italy) in the period June 28 - July 2, 2004.

The school is held within the INTERREG Project
Formazione post-lauream e Aggiornamento dei Ricercatori sui Processi Innovativi del Calcolo Scientifico - Realizzazione di una Rete di Formazione e Ricerca fra le Universita' di Innsbruck, Trieste, Udine e Bolzano - Progetto cofinanziato nell'ambito dell'Unione Europea e del Ministero delle Infrastrutture e dei Trasporti
Nachdiplom Aus - und Weiterbildung für Doktoranden und Forscher im Bereich innovativen Prozesse des "Wissenschaflichen Rechnens" - Aufbau eines Ausbildungs - und Forschungsnetzes zwischen den Universitäten von Innsbruck, Triest, Udine und Bozen - Projekt kofinanziert im Rahmen der Gemeinschaftsinitiative INTERREG IIIA Italien-Österreich mit Mitteln der Europäischen Union und des Ministeriums für Infrastrukturen und Transporte.

The school is partially supported by the Istituto Nazionale di Alta Matematica - Gruppo Nazionale di Calcolo Scientifico.

In line with the previous editions, the aim of the School is to introduce young researches to prominent topics of recent development in Numerical Analysis.

The participants are assumed to have a basic knowledge of numerical methods for ordinary differential equations.

The School consists of two series of lectures. The invited speakers are:

    Alexander Ostermann, Institut für Technische Mathematik, Geometrie und Bauinformatik, Universität Innsbruck - Austria

   Jan G. Verwer, Centrum voor Wiskunde en Informatica (CWI) - The Netherlands

The title of the lectures are the following:

Numerical solutions of abstract ODEs: theory and applications (Alexander Ostermann)

Numerical solution of time-dependent advection-diffusion-reaction equations (Jan Verwer)

Ostermann - 1: linear problems, 1 - Fourier theory;
Ostermann - 2: linear problems, 2 - semigroup theory;
Ostermann - 3: semilinear problems;
Ostermann - 4: geometric theory - fixed points, periodic orbits;
Ostermann - 5: fully nonlinear problems;
Ostermann - 6: exponential integrators.

Verwer - 1: basic discretization schemes for ODEs and PDEs I;
Verwer - 2: basic discretization schemes for ODEs and PDEs II;
Verwer - 3: more advanced material on time integration of PDEs;
Verwer - 4: splitting methods in time integration;
Verwer - 5: examples of PDEs applications;
Verwer - 6: stabilized explicit time integration methods.

Please, note:
 

• The number of participants is limited to 40 people;

• The conference fee - including registration fee and full board accommodation at the Apparthotel Germania is
  250 Euro before May 14, 2004;
  300 Euro after May 14, 2004;

• The School will take place at the  Centro Culturale Grandhotel Dobbiaco (close to the railway station)