4 citations · 7 across the 9 of their papers we have counts for
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Projection-based approximations for eigenvalue problems of Fredholm integral operators with Green's kernels
Shashank K. Shukla, Gobinda Rakshit, Akshay S. Rane
We consider the eigenvalue problem . Our analysis focuses on the convergence rates of eigenvalue and spectral subspace approximations for compact linear integral operator…
Asymptotic expansions for approximate solutions of boundary integral equations
Akshay Rane, Kunalkumar Shelar
This paper uses the Modified Projection Method to examine the errors in solving the boundary integral equation from Laplace equation. The analysis uses weighted norms, and parallel…
A note on improvement by iteration for the approximate solutions of second kind Fredholm integral equations with Green's kernels
Gobinda Rakshit, Shashank K. Shukla, Akshay S. Rane
Consider a linear operator equation , where is given and is a Fredholm integral operator with a Green's function type kernel defined on . For $r \geq 0…
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 with kernel of the type of Green's function. For , a space of piecewise polynomials of degree with respe…