Theme

In 1976 Keller formulated the following very general definition of inverse problems, which is often cited in the literature:

"We call two problems inverses of one another if the formulation of each involves all or part of the solution of the other. Often, for historical reasons, one of the two problems has been studied extensively for some time, while the other is newer and not so well understood. In such cases, the former problem is called the direct problem, while the latter is called the inverse problem."

Inverse problems appear in many situations in physics, engineering, biology and medicine. The main mathematical problem is the well (ill) – posedness of the inversion process. Indeed, in practice most inverse problems are ill-posed in terms of non-uniqueness or lack of stability of the inversion.

This one-day meeting is one of four LMS meetings on inverse problems every year that brings together researchers who work on advancing the field of inverse problems, both from a theoretical and from an applied point of view.

The meeting will concentrate on inverse problems of large-scale and / or of nonlinear type.

Poster Prize

We invite students and other early career researchers to present a poster about their research at the meeting. Please indicate your interest in presenting a poster when registering (see below).

A prize of £100 will be awarded to the best poster to support travel and accommodation costs.

Speakers

Invited speakers will include:

1. Sophia Bethany Coban (University of Manchester)
2. Erica Galetti (University of Edinburgh)
3. Marco A. Iglesias (University of Nottingham)
4. Anthony J. Mulholland (University of Strathclyde)
5. Peter Richtarik (University of Edinburgh)

Registration

Registration for this event is free of charge but for planning issues please write an email to Nick Polydorides at N.Polydorides@ed.ac.uk, including your name, affiliation and (if applicable) an expression of interest for presenting a poster at the meeting.

Programme

• 10.00 - 10.30 Coffee and Introduction
• 10.30 - 11.15 Peter Richtarik (University of Edinburgh) - "Randomized Iterative Methods for Linear Systems"
• 11.15 - 12.00 Marco Iglesias (University of Nottingham) - "A regularising ensemble Kalman method for PDE-constrained inverse problems"
• 12.00 - 13.00 Lunch and Posters
• 13.00 - 13.45 Erica Galetti (University of Edinburgh) - "Transdimensional Love-wave tomography of the British Isles from ambient noise interferometry"
• 13.45 - 14.30 Anthony J. Mulholland (University of Strathclyde) - "Using Ultrasonic Array Data to Nondestructively Assess Safety Critical Structures"
• 14.30 - 15.00 Coffee Break
• 15.00 - 15.45 Sophia Bethany Coban (University of Manchester) - "TBA"
• 15:45 - 16:00 Closing remarks

Acknowledgements

This event is funded by the London Mathematical Society and the University of Edinburgh.