Generalized Eigenfunction, Singularity Expansion and Time-Dependent Wave Scattering

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• Mike Meylan (University of Newcastle, Australia)
• Thursday 26 January 2023, 16:00-17:00
• Seminar Room 2, Newton Institute.

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MWS - Mathematical theory and applications of multiple wave scattering

I will talk about methods to solve the time-dependent wave scattering problem from the frequency domain solutions via the generalized eigenfunction method. This method is based on a diagonalization of the underlying self-adjoint problem, which has a continuous spectrum, using the single frequency solution. I will also show how we can find approximate solutions using a projection onto the poles of the analytic extension of the solution. The talk will touch on several open questions (or more accurately, questions to which I do not know the answer).

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

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