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Radial basis functions

Objective



Radial basis functions can provide excellent global approximations to surfaces and multivariate functions. Relevant problems arise throughout science, engineering and mathematical finance, so that there are numerous applications. Great theoretical progress has been made during the past decade, but efficient algorithms for the constuction and use of radial basis functions are not yet available. However, several methods show great promise. In particular, (i) the modification of 'n-body problem' codes for the evaluation of radial basis functions, and (ii) the investigation of iterative methods, specifically the preconditioned conjugate gradient algorithm, for the solution of the linear systems required. Therefore there is great scope for improving and implementing the work of, for example, Beatson, Powell, Dyn and Baxter. This major task is the main aim of the project. Further, no work has yet been done on the use of parallel computers for these computations, and the project aims to initiate this study. All code resulting will be made available via the World Wide Web

Funding Scheme

RGI - Research grants (individual fellowships)

Coordinator

IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE
Address
Queen's Gate 180
SW7 2BZ London
United Kingdom

Participants (1)

Not available
Greece