Workshop description
The Geometric Integration and Computational Mechanics workshop has been organised as a part of the FoCM conference since the early days of FoCM. It is a forum where numerical analysts interested in structure preserving algorithms and mathematicians in the geometric mechanics community meet. The participants have a common interest in methodology with foundations in differential geometry and Lie groups. The workshop represents a vibrant and engaged community of researchers with research topics ranging from very theoretical questions to applications. This year a number of contributions related to the geometric and structure preserving approach to data are included in this workshop, showcasing some of the new trends and directions of this research community. The two semi-plenary speakers are two of the most prominent researchers in the respective areas of geometric mechanics (Francois Gay-Balmaz) and geometric numerical integration (Ben Leimkuhler).
Speakers
Semi-plenary speakers
- Gay-Balmaz, Francois - CNRS - LMD - ENS, France
- Leimkuhler, Benedict - University of Edinburgh, UK
Invited speakers
- Budd, Chris - University of Bath, UK
- Pagliantini, Cecilia - University of Pisa, Italy
- Stern , Ari - Washington University in St. Louis, United States
- Arnold, Martin - Martin-Luther-Universität Halle-Wittenberg, Germany
- Barbaresco, Frederic - THALES Land & Air Systems, France
- Gawlik, Evan - University of Hawaii at Manoa, United States
- Iserles , Arieh - University of Cambridge, UK
- Jackaman, James - Norwegian University of Science and Technology, Norway
- Kraus, Michael - Max Planck Institute for Plasma Physics, Germany
- Leyendecker, Sigrid - Friedrich-Alexander-Universität, Germany
- Modin, Klas - Chalmers University of Technology, Sweden
- Munthe-Kaas, Hans Z. - University of Bergen, Norway
- Murari, Davide - NTNU, Norway
- Offen, Christian - Paderborn University, Germany
- Owren, Brynjulf - NTNU, Norway
- Sato Martin de Almagro, Rodrigo Takuro - Friedrich-Alexander-Universität, Germany
- Tran, Brian - University of California-San Diego, United States
- Wan, Andy - University of Northern British Columbia, Canada
Preliminary program
This schedule is preliminary and could be updated.
Monday, June 12
| 14:00 ~ 14:30 | r-adaptivity, deep learning and the deep Ritz method Chris Budd - University of Bath, UK |
| 14:30 ~ 15:00 | Structure-preserving model order reduction of parametric Hamiltonian systems Cecilia Pagliantini - University of Pisa, Italy |
| 15:00 ~ 15:30 | Learning of symmetric models for variational dynamical systems from data Christian Offen - Paderborn University, Germany |
| 16:30 ~ 17:00 | Transverse Symplectic Foliation Structure of Souriau Dissipative Statistical Mechanics with Entropy as Casimir Function Frédéric Barbaresco - THALES, France |
| 17:00 ~ 17:30 | Structured neural networks and some applications to dynamical systems Davide Murari - Norwegian University of Science and Technology, Norway |
| 17:30 ~ 18:30 | Dissipative and stochastic systems, Lyapunov functions and adaptive algorithms Benedict Leimkuhler - University of Edinburgh, UK |
Tuesday, June 13
| 14:00 ~ 14:30 | On the contractivity of ODEs and numerical integrators on Riemannian manifolds Brynjulf Owren - NTNU, Norway |
| 14:30 ~ 15:00 | A framework for stable geometric spectral methods Arieh Iserles - University of Cambridge, United Kingdom |
| 15:00 ~ 15:30 | A new Lagrangian approach to control affine systems with a quadratic Lagrange term Sigrid Leyendecker - Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany |
| 15:30 ~ 16:00 | Half-explicit integrators for constrained mechanical systems on Lie groups Martin Arnold - Martin Luther University Halle-Wittenberg, Germany |
| 17:00 ~ 17:30 | Geometric Integration and Numerical Analysis on Symmetric Spaces Hans Munthe-Kaas - Lie-Størmer Center at The Arctic University of Norway, Norway |
| 17:30 ~ 18:00 | Functional equivariance and modified vector fields Ari Stern - Washington University in St. Louis, USA |
| 18:00 ~ 18:30 | Structure-preserving Reduced Complexity Modelling Michael Kraus - Max Planck Institute for Plasma Physics, Germany |
Wednesday, June 14
Posters
- Weak approximation of stochastic differential equations
Leroy Alix - University of Edinburgh, Uk - Simulating diffusions by Lie group integration
Curry Charles HA - Norwegian University of Science and Technology, Norway - Symplectic groupoids for Poisson integrators
Oscar Cosserat - CNRS/La Rochelle Université, France - Error Estimates of Numerical Methods for the Long-time Dynamics of the Nonlinear Klein-Gordon Equation
Yue Feng - Sorbonne University, France - Optimisation schemes on manifolds obtained via discretisations of conformal Hamiltonian systems
Marta Ghirardelli - NTNU, Norway - Symmetry Preservation in Hamiltonian Systems: Simulation and Learning
David Martin de Diego - ICMAT, Spain - Variational integrators and frequency-dependent damping
Rodrigo Takuro Sato Martin de Almagro - Friedrich-Alexander-Universität Erlangen-Nürnberg , Germany - Structure-preserving MGARK methods for Hamiltonian systems
Kevin Schäfers - University of Wuppertal, Germany - Noncommutative differential geometry on discrete spaces.
Damien Tageddine - McGill University, Canada - A factorization approach to the extrinsic approximation of volume-preserving diffeomorphisms
Seth Taylor - McGill University, Canada