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conference
28/09/2021 29/09/2021

Hierarchical Numerical Methods for PDEs

The hierarchical construction of complex models from basic concepts is a main principle of mathematics. Likewise, hierarchical methods are one of the main cornerstones in modern numerical analysis and scientific computing. The hierarchical approach, which underlies such different techniques as multigrid methods, H-matrices and hierarchical tensor decomposition, allows to overcome the computational barriers posed by large scale, ill conditioning or high dimensionality. This workshop focuses on recent advances on hierarchical numerical methods for PDEs and related problems.

The workshop is dedicated to Wolfgang Hackbusch who was awarded the 2020 Heinz Gumin Prize for Mathematics.

The number of participants will be limited. Please contact the administrative contact.

Speakers

Sabine Le Borne

TU Hamburg

Mateusz Michalek

University of Konstanz

Anthony Nouy

EC Nantes

Stefan Sauter

University of Zurich

Gabriel Wittum

KAUST

Barbara Wohlmuth

TU Munich

Jinchao Xu

Penn State

Harry Yserentant

TU Berlin

Program

Sep 28, 2021
09:15 - 09:30
09:30 - 10:15 Ivan Graham (University of Bath)
Convergence of iterative solvers for the Helmholtz equation
10:15 - 10:45
10:45 - 11:30 Sabine Le Borne (TU Hamburg)
Potential (&) pitfalls in RBF-FD discretization of PDEs
11:30 - 12:15 Anthony Nouy (EC Nantes)
Approximation theory of tree tensor networks
12:15 - 14:00
14:00 - 14:45 Barbara Wohlmuth (TU Munich)
The challenge of non-local operators and mixed dimensions in simulation and modelling
14:45 - 15:30 Stefan Sauter (University of Zurich)
Variable Order, Directional H2-Matrices for Helmholtz Problems with Complex Frequency
15:30 - 16:00
16:00 - 16:45 Jinchao Xu (Penn State)
Neural Networks and Numerical PDEs
18:30 - 00:00
Sep 29, 2021
09:15 - 10:00 Harry Yserentant (TU Berlin)
Iterations, Tensors, and beyond
10:00 - 10:45 Mateusz Michalek (University of Konstanz)
Matrix Product States from the Point of View of Algebraic Geometry
10:45 - 11:15
11:15 - 12:00 Reinhold Schneider (TU Berlin)
12:00 - 12:45 Gabriel Wittum (KAUST, Thuwal, Saudi Arabia)

Scientific Organizers

Peter Benner

Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg

Lars Grasedyck

RWTH Aachen

André Uschmajew

Max Planck Institute for Mathematics in the Sciences, Leipzig

Administrative Contact

Katja Heid

Max Planck Institute for Mathematics in the Sciences, Leipzig Contact via Mail