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Research Fellows Directory

Charles Elliott

Professor Charles Elliott -

Research Fellow

Organisation

University of Warwick

Research summary

The aims of applied mathematics include satisying curiosity about nature and the

provision of quantitative tools in technology and engineering which are directed

towards simulation, prediction and control. The astonishing increase of computing

power together with the capacity of accumulating and storing large amounts of

data fuel the growth in complexity and scale of systems which can be studied.

This is achieved by the use of mathematical models. A major mathematical

domain which features in such models is the analysis of partial differential

equations.

Partial differential equations are ubiquitous in almost all applications of

mathematics, where they provide a natural mathematical description of

phenomena in the physical, natural and social sciences, often arising from

fundamental conservation laws. Consequently they provide the fundamental

objects which are used to model the world around us and their practical

importance cannot be overemphasized. They have become a central tool in

providing mathematical models of the processes under investigation.

The research will address fundamental issues in computational

aspects of the mathematical sciences. Nevertheless it is aimed at providing

methodologies which will aid scientists to develop their theories and

understanding with the potential for useful technological and medical advances.

My aim is to create a rigorous

mathematical theory and methodology for the development of accurate and

efficient computational tools to solve complex and large scale problems which

are currently intractable.

Grants awarded

PDEs in evolving complex domains with interfaces and inclusions

Scheme: Wolfson Research Merit Awards

Dates: Jan 2016 - Dec 2020

Value: £35,000