Journal Publications
A. S. Rane, G. Rakshit and Punit Sharma. Asymptotic expansions of approximate solutions of integral equations and eigenvalue problems in modified version of iterated collocation method with Green's type kernel. Journal of Integral Equations and Applications, 36(1):111--127, (2024). DOI: https://doi.org/10.1216/jie.2024.36.111
G. Rakshit. Asymptotic error analysis for the discrete iterated Galerkin solution of Urysohn integral equations with Green’s kernels. Accepted for publication in Advances in Applied Mathematics and Mechanics, (2023).
G. Rakshit, A. S. Rane and K. Patil. Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green’s kernels. International Journal of Computer Mathematics, 99(8):1538–1556, (2022). DOI : 10.1080/00207160.2021.1986215
G. Rakshit and A. S. Rane. Asymptotic expansion of iterated Galerkin solution of second kind Fredholm integral equations with Green's kernels. Journal of Integral Equations and Applications, 32(4):495-507 (2020). DOI : https://projecteuclid.org/euclid.jiea/1609815762.
R. P. Kulkarni and G. Rakshit. Discrete modified projection methods for Urysohn integral equations with Green's function type kernels. Mathematical Modelling and Analysis, 25(3):421-440 (2020). DOI: https://doi.org/10.3846/mma.2020.11093.
R. P. Kulkarni and G. Rakshit. Richardson extrapolation for the discrete iterated modified projection solution. Numerical Algorithms, 85:171-189 (2020). : https://doi.org/10.1007/S11075-019-00808-5.
R. P. Kulkarni and G. Rakshit. Discrete modified projection method for Urysohn integral equations with smooth kernels. Applied Numerical Mathematics, 126:180-198 (2018). DOI: https://doi.org/10.1016/j.apnum.2017.12.008.