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An Isaac Newton Institute Workshop

The Theory of Highly Oscillatory Problems

From high oscillation to rapid approximation

Authors: Arieh Iserles (DAMTP, Cambridge), Syvert Nørsett (NTNU, Trondheim)


In this talk we address our recent work on the theory of modified Fourier expansions and their generalisation for the approximation of smooth functions in one and several variables. In particular, we debate rapid evaluation of expansion coefficients by means of Filon-like and Gauss--Turan-like quadrature techniques and various acceleration techniques.