The University of Pisa will host the workshop "Exploiting Algebraic and Geometric Structure in Time-Integration Methods" from April 3 to April 5, 2024. 

The simulation of time-dependent phenomena has become increasingly important in numerous scientific and engineering domains. Efficient and accurate numerical methods are essential for tackling the challenges posed by systems evolving over time. This workshop recognizes the fundamental role played by algebraic and geometric structures in advancing the state-of-the-art in time-integration methods and aims to foster the intellectual exchange and collaboration among the communities of numerical linear algebra, parallel-in-time algorithms, geometric integration, and related disciplines.  
Over the course of three days, the workshop will feature a series of plenary lectures and talks that delve into the exploitation of hidden or explicit mathematical structures in numerical methods for differential equations. Participants will have the opportunity to share their latest research findings, exchange ideas, and explore interdisciplinary approaches to address the pressing challenges in simulating time-dependent problems. 

Topics of interest include:

  • Algebraic structures; preconditioners and structured direct solvers; efficient data representations and tensor methods; dynamical low-rank approximation.
  • Geometric integration; numerical methods that preserve invariants of motion and other geometric properties; time integration on manifolds; exponential integrators.
  • Parallel-in-time algorithms; Parareal and ParaDiag methods; Multigrid-in-Time; waveform relaxation methods.


Plenary speakers:

  • Elena Celledoni (Norwegian University of Science and Technology)
  • Virginie Ehrlacher (Ecole des Ponts ParisTech)
  • Patrick Farrell (University of Oxford)
  • Martin Gander (Université de Genève)
  • Marlis Hochbruck (Karlsruhe Institute of Technology)
  • Christian Lubich (Universität Tübingen)


The titles and abstracts of the plenary lectures will be updated shortly.


Social dinner: we are planning to have a social dinner on April 4. Further information will be provided in the next weeks.


Scientific committee: Michele Benzi (SNS), Nicola Guglielmi (GSSI), Santolo Leveque (SNS), Stefano Massei (UniPi), Cecilia Pagliantini (UniPi), Luca Saluzzi (SNS), Milo Viviani (SNS).


Local committee: Santolo Leveque (SNS), Stefano Massei (UniPi), Cecilia Pagliantini (UniPi), Luca Saluzzi (SNS), Milo Viviani (SNS).


If you have any queries, please send an email to

Main Auditorium (Aula Magna) of the Mathematics Department
Largo Bruno Pontecorvo, 5, 56127 Pisa PI
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Registration for this event is currently open.