Kshitij Patil

collaborators

2 papers

math.NA2025

The spectrum of the Steklov-Helmholtz operator

Nilima Nigam, Kshitij Patil, Weiran Sun

We present a wavenumber-robust strategy for computing Steklov eigenpairs of the Helmholtz operator $- Δ - μ^{2}$ . As the wavenumber $μ \to μ_{D}$ from below (where $μ_{D}^{2}$ is a Di…

math.NA2020

Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green's kernels

Gobinda Rakshit, Akshay S. Rane, Kshitij Patil

We consider a Urysohn integral operator $K$ with kernel of the type of Green's function. For $r \geq 1$ , a space of piecewise polynomials of degree $\leq r - 1$ with respe…