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Recycling solutions of Helmholtz equation using Wiener-Hopf technique

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WHTW02 - WHT Follow on: the applications, generalisation and implementation of the Wiener-Hopf Method

I will talk about one of the strengths of applying analytic methods in contrast to numerical procedures. In particular, I will examine what information can be extracted from a Wiener—Hopf equation even if the solution cannot be explicitly derived. This will lead to the idea used in diffraction theory called the embedding formula. It provides a way of expressing a solution of a diffraction problem in terms of solutions of similar problems but with different forcings. This allows to reuse solutions and hence reduce computational cost. This is joint work with Andrey Korolkov.

This talk is part of the Isaac Newton Institute Seminar Series series.

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