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Time-domain calculations for multiple wave scattering

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MWSW03 - Computational methods for multiple scattering

In this presentation, I will explore the use of numerical methods to calculate the time-domain solution for multiple wave scattering. The techniques I will present start with straightforward calculations for incident wave pulses and then progress to the general solution. This general theory extends the compact operator case with one slight difficulty: normalising the eigenfunctions. I will address this challenge and provide a solution. Additionally, I will demonstrate how this theory naturally connects to the singularity expansion method, which produces approximate solutions of very low dimensions. 

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

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