Shashank K. Shukla

collaborators

3 papers

math.NA2026

A note on superconvergence in projection-based numerical approximations of eigenvalue problems for Fredholm integral operators

Shashank K. Shukla

This paper studies the eigenvalue problem $K I ¨ = I^» I ¨ $ associated with a Fredholm integral operator $K$ defined by a smooth kernel. The focus is on analyzing the convergence behavi…

math.NA2026

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 $K x = I^» x$ . Our analysis focuses on the convergence rates of eigenvalue and spectral subspace approximations for compact linear integral operato…

math.NA2025

Acceleration of convergence in approximate solutions of Urysohn integral equations with Green's kernels

Shashank K. Shukla, Gobinda Rakshit

Consider a non-linear operator equation $x - K (x) = f$ , where $f$ is a given function and $K$ is a Urysohn integral operator with Green's function type kernel defined on $L^\infty…