Zurich colloquium in applied and computational mathematics

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Spring Semester 2025

Date / Time Speaker Title Location
26 February 2025
16:30-17:30
Prof. Dr. Philippe Ciarlet
Institut für Mathematik, Universität Zürich
Details

Zurich Colloquium in Applied and Computational Mathematics

Title A two-dimensional nonlinear shell model of Koiter's type
Speaker, Affiliation Prof. Dr. Philippe Ciarlet, Institut für Mathematik, Universität Zürich
Date, Time 26 February 2025, 16:30-17:30
Location HG G 19.2
Abstract As is well-known, Koiter's model is often used in numerical simulations, because it is a two-dimensional model that captures well the "membrane-dominated" and "flexural-dominated" effects that arise in a nonlinearly elastic shell subjected to applied forces and specific boundary conditions. Finding a satisfactory existence theory for this nonlinear shell model has stood as an open problem for a very long time. The present work, which is a joint work with Cristinel Mardare, provides a two-dimensional model that preserves all the virtues of Koiter's model, while being in addition amenable to a satisfactory existence theory. More precisely, our new two-dimensional mathematical model for a nonlinearly elastic shell takes the form of a minimization problem with a stored energy function that is polyconvex and orientation-preserving, and more generally satisfies all the other assumptions of John Ball's existence theorem. In addition, the most noteworthy feature of this model is that it is "of Koiter's type", in the sense that for a specific class of deformations that are "to within the first order" identical to those introduced by W.T. Koiter for defining his model, the "lowest order part" of its stored energy function coincides with the stored energy function of Koiter's model.
A two-dimensional nonlinear shell model of Koiter's typeread_more
HG G 19.2
12 March 2025
16:30-17:30
Dr. Enrico Zampa
University of Vienna
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Zurich Colloquium in Applied and Computational Mathematics

Title Structure-preserving discretization of incompressible magnetohydrodynamics and the incompressible Godunov-Peshkov-Romenski model
Speaker, Affiliation Dr. Enrico Zampa, University of Vienna
Date, Time 12 March 2025, 16:30-17:30
Location HG G 19.2
Abstract Incompressible magnetohydrodynamics (MHD) and the incompressible Godunov-Peshkov-Romenski (GPR) model share a similar structural framework, with key properties such as energy conservation, incompressibility, and involutions. In this talk, we demonstrate how to preserve these essential properties at the fully discrete level using compatible finite element methods, combined with a tailored time integration scheme. Furthermore, we explore both linear and nonlinear stabilization strategies necessary for convection-dominated regimes, examining their interplay with structure preservation. In particular, we show that such stabilizations affect only energy conservation. This research was conducted in collaboration with M. Dumbser from the University of Trento.
Structure-preserving discretization of incompressible magnetohydrodynamics and the incompressible Godunov-Peshkov-Romenski modelread_more
HG G 19.2
19 March 2025
16:30-17:30
Prof. Dr. Tulin Kaman
University of Arkansas, USA
Details

Zurich Colloquium in Applied and Computational Mathematics

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Tulin Kaman, University of Arkansas, USA
Date, Time 19 March 2025, 16:30-17:30
Location HG G 19.2
Title T.B.A.
HG G 19.2
26 March 2025
16:30-17:30
Dr. Nicolas Boullé
Imperial College London
Details

Zurich Colloquium in Applied and Computational Mathematics

Title Operator learning without the adjoint
Speaker, Affiliation Dr. Nicolas Boullé, Imperial College London
Date, Time 26 March 2025, 16:30-17:30
Location HG G 19.2
Abstract There is a mystery at the heart of operator learning: how can one recover a non-self-adjoint operator from data without probing the adjoint? Current practical approaches suggest that one can accurately recover an operator while only using data generated by the forward action of the operator without access to the adjoint. However, naively, it seems essential to sample the action of the adjoint for learning time-dependent PDEs. In this talk, we will first explore connections with low-rank matrix recovery problems in numerical linear algebra. Then, we will show that one can approximate a family of non-self-adjoint infinite-dimensional compact operators via projection onto a Fourier basis without querying the adjoint.
Operator learning without the adjointread_more
HG G 19.2
2 April 2025
16:30-17:30
Prof. Dr. Pavel Exner
Nuclear Physics Institute of the CAS
Details

Zurich Colloquium in Applied and Computational Mathematics

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Pavel Exner, Nuclear Physics Institute of the CAS
Date, Time 2 April 2025, 16:30-17:30
Location HG G 19.2
Title T.B.A.
HG G 19.2
9 April 2025
16:30-17:30
Prof. Dr. Michael Dumbser
University of Trento
Details

Zurich Colloquium in Applied and Computational Mathematics

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Michael Dumbser, University of Trento
Date, Time 9 April 2025, 16:30-17:30
Location HG G 19.2
Title T.B.A.
HG G 19.2
7 May 2025
16:30-17:30
Ting Lin
Peking University
Details

Zurich Colloquium in Applied and Computational Mathematics

Title Title T.B.A.
Speaker, Affiliation Ting Lin, Peking University
Date, Time 7 May 2025, 16:30-17:30
Location HG G 19.2
Abstract TBA
Title T.B.A.read_more
HG G 19.2
14 May 2025
16:30-17:30
Prof. Dr. Michael Feischl
TU Wien
Details

Zurich Colloquium in Applied and Computational Mathematics

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Michael Feischl, TU Wien
Date, Time 14 May 2025, 16:30-17:30
Location HG G 19.2
Abstract TBA
Title T.B.A.read_more
HG G 19.2

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