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math.NA2022
A Steklov-spectral approach for solutions of Dirichlet and Robin boundary value problems
Kthim Imeri, Nilima Nigam
In this paper we revisit an approach pioneered by Auchmuty to approximate solutions of the Laplace- Robin boundary value problem. We demonstrate the efficacy of this approach on a…
math.NA2021
Optimal design of optical analog solvers of linear systems
Kthim Imeri
In this paper, given a linear system of equations A x = b, we are finding locations in the plane to place objects such that sending waves from the source points and gathering them…
math.NA2020
A mathematical and numerical framework for gradient meta-surfaces built upon periodically repeating arrays of Helmholtz resonators
Habib Ammari, Kthim Imeri
In this paper a mathematical model is given for the scattering of an incident wave from a surface covered with microscopic small Helmholtz resonators, which are cavities with small…