Workshops Period I.

June 12, 13, 14

I.5: Geometric Integration and Computational Mechanics

Room 107 (corridor 44-54)


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).


Semi-plenary speakers
Invited speakers

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
14:00 ~ 14:30 Explicit Energy-Preserving Momentum-Scaling Schemes for Hamiltonian Systems
Andy Wan - University of Northern British Columbia, Canada
14:30 ~ 15:00 Curvature approximation in arbitrary dimension with Regge finite elements
Evan Gawlik - University of Hawaii, USA
15:00 ~ 16:00 Variational and Thermodynamically Consistent Discretization for Heat Conducting Fluids
François J. M. Gay-Balmaz - CNRS Ecole Normale Supérieure, France
16:30 ~ 17:00 Eulerian and Lagrangian stability in Zeitlin's model of hydrodynamics
Klas Modin - Chalmers and University of Gothenburg, Sweden
17:00 ~ 17:30 Parallel iterative methods for variational integration and related problems
Rodrigo Takuro Sato Martín de Almagro - Friedrich-Alexander-Universität Erlangen-Nürnberg - Institute of Applied Dynamics, Germany
17:30 ~ 18:00 Conservative iterative methods for structure-preserving discretisations
James Jackaman - NTNU, Norway
18:00 ~ 18:30 Type II Hamiltonian Lie Group Variational Integrators for Geometric Adjoint Sensitivity Analysis
Brian Tran - UC San Diego, United States


All abstracts

View all abstracts of this workshop.