85 citations · 289 across the 25 of their papers we have counts for
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On regularizations of the delta distribution
Bamdad Hosseini, Nilima Nigam, John M. Stockie
In this article we consider regularizations of the Dirac delta distribution with applications to prototypical elliptic and hyperbolic partial differential equations (PDEs). We stud…
A boundary integral algorithm for the Laplace Dirichlet-Neumann mixed eigenvalue problem
Eldar Akhmetgaliyev, Oscar Bruno, Nilima Nigam
We present a novel integral-equation algorithm for evaluation of Zaremba eigenvalues and eigenfunctions}, that is, eigenvalues and eigenfunctions of the Laplace operator with mixed…
Integral equation methods for the Yukawa-Beltrami equation on the sphere
Nilima Nigam, Mary-Catherine Kropinski, Bryan Quaife
An integral equation method for solving the Yukawa-Beltrami equation on a multiply-connected sub-manifold of the unit sphere is presented. A fundamental solution for the Yukawa-Bel…