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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.NA2020
A simple extrapolation method for clustered eigenvalues
Nilima Nigam, Sara Pollock
This paper introduces a simple variant of the power method. It is shown analytically and numerically to accelerate convergence to the dominant eigenvalue/eigenvector pair; and, it…
math.NA2018
Revisiting the Jones eigenproblem in fluid-structure interaction
Sebastián Domínguez, Nilima Nigam, Jiguang Sun
The Jones eigenvalue problem first described by D.S. Jones in 1983 concerns unusual modes in bounded elastic bodies: time-harmonic displacements whose tractions and normal componen…