PUBLICATIONS

• Journal papers

1. Moumita Mandal and Gnaneshwar Nelakanti, Superconvergence of Legendre Spectral Projection Methods for Fredholm-Hammerstein Integral Equations, Journal of Computational and Applied Mathematics 319 (2017), 423–439.

2. Moumita Mandal and  Gnaneshwar Nelakanti, Superconvergence results for linear second kind Volterra integral equations, Journal of Applied Mathematics and Computing, Springer, 57 (2017) 1–14.

3. Moumita Mandal and  Gnaneshwar Nelakanti, Superconvergence results of iterated projection methods for linear Volterra integral equations of second kind, Journal of Applied Mathematics and Computing, Springer, 57 (2017), 1–12.

4. Moumita Mandal and Gnaneshwar Nelakanti, Superconvergence results of Legendre spectral projection methods for Volterra integral equations of second kind, Computational and Applied Mathematics, Springer, 36 (2017) 1–16.

5. Bijaya Laxmi Panigrahi,  Moumita Mandal  and Gnaneshwar Nelakanti, Legendre multi-Galerkin methods for Fredholm integral equations with weakly singular kernel and the corresponding eigenvalue problem, Journal of Computational and Applied Mathematics 346 (2018), 224–236.

6. Moumita Mandal and Gnaneshwar Nelakanti, Superconvergence results of Legendre spectral projection methods for weakly singular Fredholm-Hammerstein integral equations, Journal of Computational and Applied Mathematics 349 (2018), 114-131.

7. Moumita Mandal and Gnaneshwar Nelakanti, Superconvergencer results for weakly singular Fredholm-Hammerstein equations, Numerical Functional Analysis and Optimization 40 (2019), 1-23.

8. Moumita Mandal and Gnaneshwar Nelakanti, Legendre spectral Galerkin and multi-Galerkin methods for nonlinear Volterra integral equations of Hammerstein type, The Journal of Analysis 27 (2019), 1-27.

 9.  Moumita Mandal,   Kapil Kant and Gnaneshwar Nelakanti,  Convergence analysis for derivative dependent Fredholm-Hammerstein integral equations with Green's kernel,  Journal of Computational and Applied Mathematics 370 (2020), 112599  

10.  Kapil Kant, Moumita Mandal and Gnaneshwar Nelakanti, Error Analysis of Jacobi spectral Galerkin and multi Galerkin methods  for Weakly singular Volterra Integral equations,  Mediterranean Journal of Mathematics, 17(1)  (2020),  20. 

11.  Moumita Mandal, Kapil Kant  and Gnaneshwar Nelakanti, Projection and multi-projection methods for second kind Volterra-Hammerstein integral equation, International Journal of Nonlinear Analysis and Applications, 12.2 (2021): 275-291.

12.  Moumita Mandal and Gnaneshwar Nelakanti, Superconvergence results for the nonlinear Fredholm-Hemmerstein integral equations of second kind, The Journal of Analysis, (2020), 1-21.

13.  Kapil Kant, Moumita Mandal and Gnaneshwar Nelakanti, Jacobi Spectral Galerkin Methods for a Class of Nonlinear Weakly Singular Volterra Integral Equations,  , Advances in Applied Mathematics and Mechanics 13.5 (2021): 0163-1260 .

14. Moumita Mandal, Kapil Kant  and Gnaneshwar Nelakanti, Discrete Legendre Spectral Methods for Hammerstein type Weakly Singular Nonlinear Fredholm Integral Equations, International Journal of Computer Mathematics (2021) 1-19 . 

15. Moumita Mandal, Kapil Kant  and Gnaneshwar Nelakanti, Eigenvalue Problem of a Weakly Singular Compact Integral Operator by discrete Legendre Projection Methods, Journal of Applied Analysis and Computation 11.4 (2021): 2090-2101. 

16.  Moumita Mandal, Arnab Kayal and Gnaneshwar Nelakant,  Projection methods for approximate solution of a class of nonlinear Fredholm integrodifferential equations, Applied Numerical Mathematics, 184 (2022).

17. Ruby, Moumita Mandal, Convergence Analysis and Numerical Implementation of Projection Methods for Solving Classical and Fractional Volterra Integro-Differential Equa-

tions, Mathematics and Computers in Simulation (2023) https://doi.org/10.1016/j.matcom.2023.09.015.

18. Arnab Kayal, Moumita Mandal, Gnaneshwar Nelakanti, Superconvergence of Legendre Spectral Projection Methods for m-th Order Integro-differential Equations with Weakly

Singular Kernels, Journal of Computational and Applied Mathematics 439 (2023), 115585.

19. Arnab Kayal, Moumita Mandal, A new approach of shifted Jacobi spectral Galerkin methods (SJSGM) for weakly singular Fredholm integral equation with non-smooth solution, Numerical Algorithm (2023): 1-30. 

20. Ruby, Moumita Mandal, The geometrical and physical interpretation of fractional order derivatives for a general class of functions, Math. Meth. Appl. Sci. (2024), 1–21, DOI 10.1002/mma.10020.

• Book Chapter

20.  Moumita Mandal and Gnaneshwar Nelakanti, Superconvergence Results for Volterra-Urysohn Integral Equations of Second Kind, Mathematics and Computing, ICMC 2017, Communications in Computer and Information Science, vol 655, Springer, Singapore.

• International Conference/ Proceedings etc.

21. Moumita Mandal and Gnaneshwar Nelakanti, Superconvergence Results of Legendre Spectral Projection Methods for Volterra Integral Equations of Second Kind, Proceedings of IMBIC, MSAST (2016), 69–84.

Editorial Board Member:-

1.  International Journal of Mathematics and Systems Science

2.  Journal of Computer Hardware Engineering 

3.  Mathematical Modelling and Applications 

Professional Services 

1.  Reviewer of Mathematical Reviews of American Mathematical Society   (Since 2019) 

Joint Collaboration

Visited Purdue University, USA during April 13 to July 10th, 2022 to work jointly with Prof. J. Shen On a project “Superconvergence Results for Integro-Differential Initial and Boundary Value Problems by Spectral Projection Methods.