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.
Saturday, September 11, 2010 - 6:00pm to Friday, September 17, 2010 - 5:59pm
The Isaac Newton Institute, Cambridge, UK