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Ongoing
The Supreme Challenges of Supremal Functionals
FunderUK Research and Innovation
Funder Contribution £242,779.00
Duration30 Sep 2023 - 30 Mar 2027
Funded underEPSRC
Project codeEP/X017206/1
Identifiers
Project timeline87%
Description
The calculus of variations is the theory of how to minimise or maximise certain quantities. Most of the existing theory deals with quantities given in terms of the average (or integral) of certain values (which in turn depend on a function and its derivatives). There is a smaller body of theory on the question of how to minimise the maximum instead, but it currently covers only specific cases. This project aims to develop new methods with a greater scope, from an analytic point of view that can inform the design of numerical realisations.
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The calculus of variations is the theory of how to minimise or maximise certain quantities. Most of the existing theory deals with quantities given in terms of the average (or integral) of certain values (which in turn depend on a function and its derivatives). There is a smaller body of theory on the question of how to minimise the maximum instead, but it currently covers only specific cases. This project aims to develop new methods with a greater scope, from an analytic point of view that can inform the design of numerical realisations.
