Research Network in the Mathematics of Inverse problems
Lead Research Organisation:
Cardiff University
Department Name: Computer Science
Abstract
Many important physical systems are modelled as Inverse problems.
For example Medical imaging problems (Ultra-sound, EIT, PET scan) non destructive testing of structures, Security screening, Oil and Gas detection
A number of groups in the UK are working on these problems and the proposed network will be a means where
they can meet fellow research workers to discuss problems and present new ideas with the goal of creating synergy.
As well as facilitating interaction between UK mathematicians working in these areas the network will also bring in practitioners and
outside experts to contribute to the meetings with the potential for cross fertilisation of ideas. It will also provide funds for experts to visit members of the network.
For example Medical imaging problems (Ultra-sound, EIT, PET scan) non destructive testing of structures, Security screening, Oil and Gas detection
A number of groups in the UK are working on these problems and the proposed network will be a means where
they can meet fellow research workers to discuss problems and present new ideas with the goal of creating synergy.
As well as facilitating interaction between UK mathematicians working in these areas the network will also bring in practitioners and
outside experts to contribute to the meetings with the potential for cross fertilisation of ideas. It will also provide funds for experts to visit members of the network.
Planned Impact
The network will be built from research groups with interests in mathematical aspects of graphs, with skills in
mathematical analysis, numerical and scientific computing, and practitioners working on IP in such areas as medical imaging, non-destructive testing and security issues.
Initially the impact of this research will, be felt by researchers in mathematics and practitioners working in these and closely-related
fields. As IP expands from modelling (mainly) physical, medical (imaging), engineering problems (e.g non destructive testing) to new problems in economics,
in a longer time scale, impact could be made in these and other areas where the underlying goal is parameter identification.
mathematical analysis, numerical and scientific computing, and practitioners working on IP in such areas as medical imaging, non-destructive testing and security issues.
Initially the impact of this research will, be felt by researchers in mathematics and practitioners working in these and closely-related
fields. As IP expands from modelling (mainly) physical, medical (imaging), engineering problems (e.g non destructive testing) to new problems in economics,
in a longer time scale, impact could be made in these and other areas where the underlying goal is parameter identification.
Organisations
People |
ORCID iD |
B Brown (Principal Investigator) | |
Marco Marletta (Co-Investigator) |
Publications
Alosaimi M
(2020)
Identification of the forcing term in hyperbolic equations
in International Journal of Computer Mathematics
Brown B
(2021)
THE INVERSE PROBLEM FOR A SPECTRAL ASYMMETRY FUNCTION OF THE SCHRÖDINGER OPERATOR ON A FINITE INTERVAL
in Mathematika
Curtis D
(2019)
On shear-rate dependent relaxation spectra in superposition rheometry: A basis for quantitative comparison/interconversion of orthogonal and parallel superposition moduli
in Journal of Non-Newtonian Fluid Mechanics
Curtis D
(2019)
On response spectra and Kramers-Kronig relations in superposition rheometry
in Physics of Fluids
Davies A
(2020)
A kernel approach to deconvolution of the complex modulus in linear viscoelasticity
in Inverse Problems
Gazzola S
(2020)
An inner-outer iterative method for edge preservation in image restoration and reconstruction *
in Inverse Problems
Description | The award has just ended, some of the outcomes have been reported in the papers submitted others are awaited |
First Year Of Impact | 2020 |
Sector | Education |
Impact Types | Economic |