Dr. Payel Das

Assistant Professor - Senior Scale

B.Sc. (Mathematics), Calcutta University

M.Sc. (Mathematics), IIT Kharagpur

Ph.D. (Approximation Methods for Nonlinear Integral Equations), IIT Kharagpur. 

Area of Specialization

Numerical Functional Analysis

 

Research & Publication:

International Journals-

Das, Payel, Sahani, Mitali Madhumita, and Nelakanti, Gnaneshwar. "Legendre spectral projection methods for Urysohn integral equations." Journal of Computational and Applied Mathematics, 263 (2014): 88-102.

Das, Payel, Sahani, Mitali Madhumita, and Nelakanti, Gnaneshwar. "Convergence analysis of Legendre spectral projection methods for Hammerstein integral equations of mixed type." Journal of Applied Mathematics and Computing, (2014): 1-27.

Das, Payel, Nelakanti, Gnaneshwar, and Long, Guangqing. "Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations." Journal of Computational and Applied Mathematics, 278 (2015): 293-305.

 Das, Payel, and Nelakanti, Gnaneshwar. "Convergence analysis of discrete Legendre spectral projection methods for Hammerstein integral equations of mixed type. " Applied Mathematics and Computation, 265 (2015): 574-601.

Das, Payel, Sahani, Mitali Madhumita, Nelakanti, Gnaneshwar, and Long, Guangqing. "Legendre spectral projection methods for Fredholm-Hammerstein integral equations. " Journal of Scientific Computing, 68 (2016): 213-230.

Das, Payel, and Nelakanti, Gnaneshwar. "Superconvergence of the iterated discrete Legendre Galerkin method for Fredholm-Hammerstein integral equations." Journal of Computer Science & Computational Mathematics, 5.4 (2015).

Das, Payel, Nelakanti, Gnaneshwar , and Long Guangqing. "Discrete Legendre Spectral Galerkin Method for Urysohn Integral Equations." International Journal of Computer Mathematics.(DOI: 10.1080/00207160.2017.1294687).

Das, Payel, and Nelakanti, Gnaneshwar. “Error Analysis of Discrete Legendre Multi-Projection Methods for Nonlinear Fredholm Integral Equations”. Numerical Functional Analysis and Optimization.(DOI: 10.1080/01630563.2016.1248563).

Das, Payel, and Nelakanti, Gnaneshwar. “Error Analysis of  Polynomial-based  Multi-Projection  Methods for a Class of Nonlinear Fredholm Integral Equations”.  Journal of Applied Mathematics and Computing. (DOI:10.1007/s12190-016-1059-y).

International Conferences-

Indian Women and Mathematics, Supported by National Board for Higher Mathematics, India, at IISER Pune, July 26-28, 2013.

XXIVth. International Workshop on Operator Theory and its Applications, at IISc Bangalore, December 16-20, 2013.

Advanced Workshop on Computational Methods for Integral Equations & Applications, National Programme On Differential Equations Theory, Computation & Application (NPDE-TCA), sponsored by DST, at IIT Kanpur, January 13-17, 2014.

Young Women and Mathematics, Supported by National Board for Higher Mathematics, India, at IISER Pune, July 25-27, 2014.

International Conference on Recent Trends in Mathematical Analysis and Applications, at IIT Roorkee (jointly organized with University of Central Florida, Orlando, USA), December 21-23, 2014.

Advanced Level Workshop on Variational Analysis and Optimization, National Programme On Differential Equations Theory, Computation & Application (NPDE-TCA) , sponsored by DST, at IIT Gandhinagar, March 2-7, 2015.

Book Chapters:

Das, Payel, and Nelakanti, Gnaneshwar. "Convergence analysis of Legendre spectral Galerkin method for Volterra-Fredholm-Hammerstein integral equations." Mathematical Analysis and Applications, Vol-143 of the series Springer Proceedings in Mathematics and Statistics, pp 3-15.

Das, Payel and Gnaneshwar Nelakanti. "Superconvergence of the iterated discrete Legendre Galerkin method for Fredholm-Hammerstein integral equations. Proceedings of the 4-th International Conference on Computer Science & Computational Mathematics (ICCSCM 2015), At Langkawi, Malaysia.