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Highly Oscillatory Problems

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Workshop
13th September 2010 to 17th September 2010

Chair: Professor A Iserles (Cambridge)

Co-Chair: Professor C Le Bris (France)

Organising Committee: Professor F Bornemann (Munich), Professor S Chandler-Wilde (Reading), Professor B Engquist (Austin), Professor E Hairer (Geneve), Dr L Halpern (Paris) and Professor R Hiptmair (Zuerich)

Workshop Theme

Highly oscillatory phenomena occur in a wide range of mathematical applications: from fluid to solid mechanics, electromagnetics, acoustics, combustion, computerised tomography and imaging, molecular dynamics, quantum chemistry, plasma transport and electrical engineering. Such phenomena have attracted a great deal of mathematical attention, mainly in harmonic analysis, asymptotic analysis, homogenisation, differential geometry, theory of Hamiltonian systems and theory of integrable systems. They have an oft-undeserved reputation of being hopelessly difficult to analyse and to compute: the truth of the matter is that, once they have been understood from the mathematical standpoint, effective computational algorithms are bound to follow.

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    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons