LMS Inverse Day on Inverse problems in wave propagation: from theory to applications, 12 June 2015, University of Cardiff

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 in wave propagation. We will discuss recent advances in the analysis and numerical solution of the inverse spectral boundary value problem as well as inverse scattering.



Friday, 12 June 2015


Cardiff School of Computer Science & Informatics,

Cardiff University,

Queen's Buildings,
Room C 2.11,

5 The Parade, Roath,

Cardiff CF24 3AA,



Malcolm Brown (University of Cardiff), Daniel Lesnic (University of Leeds), Carola-Bibiane Schönlieb (University of Cambridge), Manuchehr Soleimani (University of Bath)

Student 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 student poster to support travel and accommodation costs.


Invited speakers will include:

  1. -Timo Betcke (UCL)

  2. -Malcolm Brown (University of Cardiff)

  3. -Simon Chandler-Wilde (University of Reading)

  4. -Rebecca Haunton (University of Reading)

  5. -Orsola Rath-Spivack (University of Cambridge)

  6. -Juan Reyes (University of Cardiff)


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


10.00 - 10.30  Coffee and Introduction

10.30 - 11.15  Simon Chandler-Wilde and Rebecca Haunton (University of Reading) - “A point source method for inverse scattering in waveguides”

11.15 - 12.00  Juan Reyes (University of Cardiff) - “Uniqueness for an inverse boundary value problem in electromagnetism” (joint work with Malcolm Brown and Marco Marletta)

12.00 - 13.00  Lunch and Posters

13.00 - 13.45  Orsola Rath-Spivack (University of Cambridge) - “Inverse scattering from rough surfaces”

13.45 - 14.30  Timo Betcke (UCL) - “Boundary Element Applications with BEM++”

14.30 - 15.00  Coffee Break

15.00 - 15.45  Clifford Nolan (University of Limerick) - “Common Offset Versus Common Midpoint Seismic Imaging”

15:45 - 16:30 Malcolm Brown (University of Cardiff) - "Uniqueness for an inverse scattering problem" (joint work with Chriister Bennewitz and Rudi Weikard)

Acknowledgements: This event is funded by the London Mathematical Society and the School of Computing and Informatics of the University of Cardiff.