Scope

This workshop is part of the Vienna SFB Taming Complexity in Partial Differential Systems, öffnet eine externe URL in einem neuen Fenster and will take place at TUtheSky at TU Wien, öffnet eine externe URL in einem neuen Fenster from September 30 to October 2, 2024. The goal of this workshop is to bring together established and upcoming experts in the areas of high-dimensional approximation for PDEs, stochastic PDEs, and multiscale problems to discuss the state-of-the-art of the field.

Invited Speakers

  • Federico Cornalba, University of Bath
  • Martin Eigel, WIAS Berlin
  • Yalchin Efendiev, Texas A&M University
  • Daniel Peterseim, University of Augsburg
  • Robert Scheichl, University of Heidelberg
  • Christoph Schwab, ETH Zürich
  • Barbara Verfürth, University of Bonn
  • Jakob Zech, University of Heidelberg

Schedule

  • Day 1 (Monday, 30th September)
    • 9:15–09:45 Registration
    • 9:45–10:00 Opening remarks
    • 10:00–10:45 Christoph Schwab, ETH Zürich (Neural and spectral operator surrogates: construction and expression rate bounds)
    • 10:45–11:15 COFFEE BREAK
    • 11:15–12:00 [contrib] Andrea Scaglioni, TU Wien (Sparse grid approximation of stochastic PDEs. Application to Stochastic Micromagnetics)
    • 12:00–14:00 LUNCH BREAK
    • 14:00–14:45 Federico Cornalba, University of Bath (Multilevel Monte Carlo methods for the Dean–Kawasaki equation from fluctuating hydrodynamics)
    • 14:45–15:30 [contrib] Jonas Ingmanns, ISTA (Approximation of density fluctuations in weakly interacting particle systems via a finite-difference discretization of the Dean--Kawasaki equation)
    • 15:30–16:00 COFFEE BREAK
    •  16:00–16:45 Robert Scheichl, University of Heidelberg (Multigrid Monte Carlo revisited: fast inference in high dimensions)
  • Day 2 (Tuesday, 1st October)
    • 10:00–10:45 Yalchin Efendiev, Texas A&M University (Multicontinuum homogenization and applications)
    • 10:45–11:15 COFFEE BREAK
    • 11:15–12:00 Barbara Verfürth, University of Bonn (Numerical methods for multiscale problems with coefficient changes)
    • 12:00–14:00 LUNCH BREAK
    • 14:00–14:45 Martin Eigel, WIAS Berlin (Sparse and compositional tensor formats for high-dimensional function approximation)
    • 14:45–15:30 [contrib] Fernando Henriquez Barraza, EPFL (Model order reduction for the wave equation using the Laplace transform)
    • 15:30–16:00 COFFEE BREAK
    • 19:00 Social dinner (Stöckl im Park, Prinz-Eugen-Straße 25)
  • Day 3 (Wednesday, 2nd October) 
    •  10:00–10:45 Jakob Zech, University of Heidelberg (Statistical learning theory for neural operators)
    •  10:45–11:15 COFFEE BREAK
    •  11:15–12:00 Daniel Peterseim, University of Augsburg (Quantum realization of the finite element method)
    •  12:00–12:15 Closing remarks

Registration

In order to register for the workshop, please send an E-mail (Subject: Workshop Registration) to michael.feischl@tuwien.ac.at.
Please also let us know if you intend to join the workshop dinner on Tuesday evening. 

Organizers

Michael Feischl (michael.feischl@tuwien.ac.at),
Julian Fischer (julian.fischer@ist.ac.at),
Vladimir Kazeev (vladimir.kazeev@univie.ac.at)