Gobinda Rakshit

activity

20172026

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

4 citations · 10 across the 6 of their papers we have counts for

collaborators

7 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 $K x = λ x$ . Our analysis focuses on the convergence rates of eigenvalue and spectral subspace approximations for compact linear integral operator…

math.NA2024

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★ 3 cited

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…

math.NA2023

Asymptotic error analysis for the discrete iterated Galerkin solution of Urysohn integral equations with Green's kernels

Gobinda Rakshit

Consider a Urysohn integral equation $x - K (x) = f$ , where $f$ and the integral operator $K$ with kernel of the type of Green's function are given. In the comp…

math.NA2020★ 4 cited

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…

math.NA2019★ 3 cited

Richardson extrapolation for the discrete iterated modified projection solution

Gobinda Rakshit, Rekha P. Kulkarni

Approximate solutions of Urysohn integral equations using projection methods involve integrals which need to be evaluated using a numerical quadrature formula. It gives rise to the…

math.NA2017

Discrete Modified Projection Method for Urysohn Integral Equations with Smooth Kernels

Rekha P. Kulkarni, Gobinda Rakshit

Approximate solutions of linear and nonlinear integral equations using methods related to an interpolatory projection involve many integrals which need to be evaluated using a nume…