Geometric Integration and Computational Mechanics

Dynamical systems arising in mechanics exhibit rich geometric structure (symmetries, conservation laws, etc.), posing unique challenges for the design and analysis of computational methods. This workshop focuses on recent advances in structure-preserving numerical algorithms for such systems.

Interactions with other workshops:
Foundations of Data Science and Machine Learning
Potential interactions include dynamical aspects of machine learning (integration of neural ODEs, symplectic methods for adjoint systems, etc.) and structure-preserving machine learning (learning dynamics of mechanical systems with structure, scientific machine learning, etc.).
Foundations of Numerical PDEs
Potential interactions include structure-preserving methods for PDEs (e.g., finite element exterior calculus) and methods for PDEs arising in computational mechanics (Hamiltonian PDEs, Hamilton–Jacobi equations, continuum mechanics of solids and fluids, etc.).
Stochastic Computation
Potential interactions include structure-preserving methods for stochastic differential equations, topics arising in computational statistical mechanics, Hamiltonian Monte Carlo, etc.
Computational Dynamics
Potential interactions related to geometric structure preservation in computational dynamics and dynamical aspects of numerical integrators.

Organizers

University of California

Friedrich-Alexander-Universität

Washington University

Speakers

Semi-plenary speakers

Universitat Jaume I

Invited speakers

Universidad Politécnica de Madrid

University of Tübingen

Friedrich-Alexander-Universität

Norwegian U. of Science & Technology

University of Cambridge

Georgia Institute of Technology

University of Göttingen

The Arctic U. of Norway, U. of Bergen

University of Colorado Boulder

Nanyang Technological U.

University of Cambridge

University of Twente

University of Cambridge

Paderborn University

University of Geneva

Max Planck Institute for Plasma Physics

University of Pisa

Scuola Normale Superiore di Pisa

INRIA Rennes

Pontificia Universidad Católica de Chile