Objectives

The numerical solution of differential equations often constitutes the core of simulations in a wide range of applications such as electronics, control design, chemical kinetics, and mechanics. The ability to solve such problems in a reliable way depends to a large extent on the stability of the computational process. The workshop addresses stability issues for ODEs, DAEs, DDEs, PDEs, Dynamical Systems, SDEs, and their discretizations as well as various applications.

The meeting continues the previous editions held in

• Frostavallen (Sweden) in October 1999

• Berlin (Germany) in October 2004

• Vienna (Austria) in September 2008

• Pamplona (Spain) in April 2013

• Trieste (Italy) in June 2016

• Budapest (Hungary) in June 2022

For the 7th Edition, the planned focal points include

• Stability issues in the time discretization of conservation laws

• Time discretization and regularization of highly oscillatory systems

• Long term time evolution in systems with invariants

• Problems in stochastic evolution systems

• SDEs with applications

• Evolutionary problems modelled by PDEs

• Delay Differential Equations

• Problems with invariants and constraints

• Connecting neural networks and numerics of differential equations

We aim at a small scale meeting of at most 50 participants including about 30 invited speakers, to support intense scientific exchange and personal contacts. All talks will be given in plenary sessions that provide ample time for scientific discussions. There will be a poster session for young researchers. Our goal is to exchange the most recent results, ideas and open questions. Finally, it is a great place to establish new fruitful collaborations. 

As part of the social activities in the conference, we are organizing an excursion and an optional social dinner.