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PDE meets Data: challenges and perspectives in model development and calibration

Scope of the workshop

PDE models are well established in physics and engineering, and more recently in the life and social sciences. Calibrating and validating these models is an essential step when putting them into practice. Traditionally calibration focuses on fitting parameters to a given model without questioning or quantifying their validity. With the increasing amount of data available as well as the development of mathematical techniques in Bayesian inverse problems and data assimilation it is now possible to verify and improve the modelling. This workshop aims to bring together an interdisciplinary group of researchers working at the interface of applied PDEs for a wide spectrum of applications.

Confirmed speakers

  • Rui Carvalho (Durham)
  • Matt Colbrook (Cambridge)
  • Andrew Duncan (Imperial College London)
  • Carlos Esteve-Yag├╝e (Cambridge)
  • Susana Gomes (Warwick)
  • Sean Holman (Manchester)
  • Clarice Poon (Warwick)
  • Tim Rogers (Bath)
  • Aretha Teckentrup (Edinburgh)

Time and location: 

The workshop will start Monday 18/9 at 10:00 and finish Tuesday 19/9 at 15:00.

See details about registration and a preliminary schedule below.

Registration: Please register for our workshop using this link. We can only cover accommodation for invited speakers.

Tentative Schedule (all talks are in room B3.02 in the Zeeman building)

Monday 18/09

From 09:00 - Arrival and coffee (Common room)

10:00-10:15 - Introduction (Organisers)

10:15-11:00 - Tim Rogers: Lane nucleation in complex active flows

11:00-11:45 - Andrew Duncan: Budget-Limited Calibration of Computationally Expensive Physical Models

Lunch break and discussions (Common room)

14:00-14:45 - Sean Holman: Neutron transmission strain imaging, the longitudinal ray transform and PDEs

14:45-15:30 - Rui Carvalho: Automatically Extracting Partial Differential Equations from Data

Coffee break (Common Room)

16:00-16:45 - Susana Gomes: Parameter estimation for macroscopic pedestrian dynamics models using trajectory data

Free time

From 18:30 - Dinner (TBC)

Tuesday 19/09

09:30-10:15 - Carlos Esteve-Yague: Visibility-based surveillance problems in environments with obstacles

Coffee break (Common Room)

11:00-11:45 - Matt Collbrook: Verifying data-driven computations of Koopman spectra

11:45-12:30 - Clarice Poon: Off the grid sparse estimation

Lunch break and discussions (Common room)

14:00-14:45 - Aretha Teckentrup: Gaussian process regression for parameter inference in PDEs

From 14:45 - Closing and free time