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Numerical Computation with Functions Instead of Numbers

Objective

"Numerical analysis, scientific computing, and computational science are built on technologies of discretization such as splines, finite differences, and finite elements. Yet for most applications it is ultimately continuous functions that are of scientific interest, and the discretizations are a means to the end of working with them. This project will advance mathematics and algorithms to enable scientists and engineers to compute with functions rather than their discretizations. Such computations will be numerical as opposed to symbolic, for speed and wide applicability, yet will achieve some of the “feel” of symbolic computing. The goal is to do for computing with functions what floating-point arithmetic has done for computing with numbers: to hide away details of discretization from most users, most of the time."

Call for proposal

ERC-2011-ADG_20110209
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Funding Scheme

ERC-AG - ERC Advanced Grant

Host institution

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Address
Wellington Square University Offices
OX1 2JD Oxford
United Kingdom
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 668 157
Principal investigator
Lloyd Nicholas Trefethen (Prof.)
Administrative Contact
Gill Wells (Ms.)

Beneficiaries (1)

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
United Kingdom
EU contribution
€ 1 668 157
Address
Wellington Square University Offices
OX1 2JD Oxford
Activity type
Higher or Secondary Education Establishments
Principal investigator
Lloyd Nicholas Trefethen (Prof.)
Administrative Contact
Gill Wells (Ms.)