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Problems at the Applied Mathematics-Statistics Interface

Objective

Applied mathematics is concerned with developing models with predictive capability, and with probing those models to obtain qualitative and quantitative insight into the phenomena being modelled. Statistics is data-driven and is aimed at the development of methodologies to optimize the information derived from data. The increasing complexity of phenomena that scientists and engineers wish to model, together with our increased ability to gather, store and interrogate data, mean that the subjects of applied mathematics and statistics are increasingly required to work in conjunction. This research proposal is concerned with a research program at the interface between these two disciplines, aimed at problems in differential equations where profusion of data and the sophisticated model combine to produce the mathematical problem of obtaining information from a probability measure on function space. Applications are far-reaching and include the atmospheric sciences, geophysics, chemistry, econometrics and signal processing. The objectives of the research are: (i) to create the systematic foundations for a range of problems at the applied mathematics and statistics interface which share the common mathematical structure underpinning the range of applications described above; (ii) to exploit this common mathematical structure to design effecient algorithms to sample probability measures on function space; (iii) to apply these algorithms to attack a range of significant problems arising in molecular dynamics and in the atmospheric sciences.

Field of science

  • /natural sciences/mathematics/applied mathematics
  • /natural sciences/earth and related environmental sciences/atmospheric sciences
  • /social sciences/economics and business/economics/econometrics
  • /natural sciences/earth and related environmental sciences/atmospheric sciences/meteorology
  • /social sciences/economics and business/economics/macroeconomics
  • /natural sciences/mathematics/pure mathematics/mathematical analysis/differential equations
  • /natural sciences/earth and related environmental sciences/geophysics
  • /natural sciences/mathematics
  • /engineering and technology/electrical engineering, electronic engineering, information engineering/electronic engineering/signal processing

Call for proposal

ERC-2008-AdG
See other projects for this call

Funding Scheme

ERC-AG - ERC Advanced Grant

Host institution

THE UNIVERSITY OF WARWICK
Address
Kirby Corner Road - University House
CV4 8UW Coventry
United Kingdom
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 693 501
Principal investigator
Andrew Stuart (Prof.)
Administrative Contact
Peter Hedges (Dr.)

Beneficiaries (1)

THE UNIVERSITY OF WARWICK
United Kingdom
EU contribution
€ 1 693 501
Address
Kirby Corner Road - University House
CV4 8UW Coventry
Activity type
Higher or Secondary Education Establishments
Principal investigator
Andrew Stuart (Prof.)
Administrative Contact
Peter Hedges (Dr.)