Gobinda Rakshit

activity

20242026

collaborators

3 papers

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…

math.NA2024

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 $x - K x = f$ , where $f$ is given and $K$ is a Fredholm integral operator with a Green's function type kernel defined on $C [0, 1]$ . For $r \geq 0…