Gobinda Rakshit

Gobinda Rakshit
Rajiv Gandhi Institute of Petroleum Technology | RGIPT · Department of Mathematical Sciences

Doctor of Philosophy

About

8
Publications
370
Reads
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6
Citations
Introduction
Gobinda Rakshit currently works at the Department of Mathematics, Indian Institute of Technology Bombay. Gobinda does research in Analysis. Their most recent publication is 'Discrete Iterated Modified Projection Method for Urysohn Integral Equations with Non-smooth Kernels'.
Skills and Expertise
Additional affiliations
June 2021 - July 2021
Rajiv Gandhi Institute of Petroleum Technology
Position
  • Professor (Assistant)
July 2012 - June 2014
Guru Nanak Institute of Technology
Position
  • Professor (Assistant)
Education
July 2014 - April 2020
Indian Institute of Technology Bombay
Field of study
  • Integral Equation, Functional Analysis
August 2009 - June 2011

Publications

Publications (8)
Article
We consider a Urysohn integral operator K with kernel of the type of Green's function. For r≥1, a space of piecewise polynomials of degree ≤r−1 with respect to a uniform partition is chosen to be the approximating space, and the projection is chosen to be the orthogonal projection. Iterated Galerkin method is applied to the integral equation x−K(x)...
Article
Full-text available
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 discrete versions of the projection methods. For r ≥ 1, a space of piecewise polynomials of degree ≤ r − 1 with respect to an uniform partition is chosen to be the appro...
Article
Full-text available
In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of Green’s function. For r ≥ 0, a space of piecewise polynomials of degree ≤ r with respect to an uniform partition is chosen to be the approximating space. We define a discrete orthogonal projectio...
Preprint
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 discrete versions of the projection methods. For $r \geq 1,$ a space of piece-wise polynomials of degree $\leq r - 1$ with respect to an uniform partition is chosen to b...
Preprint
In the present paper we consider a discrete version of the iterated modified projection method for solving a Urysohn integral equation with a kernel of the type of Green's function. For $r \geq 0,$ a space of piecewise polynomials of degree $\leq r $ with respect to an uniform partition is chosen to be the approximating space. We define a discrete...
Article
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 numerical quadrature formula. In this paper, we consider discrete versions of the modified projection method and of the iterated modified projection method for solution of a...
Article
Full-text available
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 numerical quadrature formula. In this paper, we consider discrete versions of the modified projection method and of the iterated modified projection methodfor solution of a U...

Network

Projects

Project (1)
Project
Accepted for publication in the journal of "Numerical Algorithms".