Academic Information
Ph.D. (Science), University of Calcutta, 2019.
Research Areas
Research Interests
Dr. Avipsita Chatterjee’s research interests are centered on the rich and evolving domains of numerical analysis, wavelet analysis, and integro-differential equations, with a strong emphasis on both theoretical development and practical application. Her work in numerical analysis focuses on designing efficient and accurate computational methods for solving complex mathematical problems that arise in science and engineering. In the area of wavelet analysis, she explores advanced techniques for signal representation and approximation, particularly through the development of wavelet-based finite element methods, which enhance precision in modeling dynamic systems. Additionally, her research on integro-differential equations addresses problems involving memory effects and nonlocal interactions, which are crucial in modeling real-world phenomena. Dr. Chatterjee has successfully applied these mathematical frameworks to interdisciplinary fields, including water wave modeling, electro-physiological processes, and neuroimaging, demonstrating the versatility and impact of her research across both applied mathematics and emerging scientific domains.
Courses Taught
Positions Held
Assistant Professor, Department of Computer Science & Engineering (IoT), Institute of Engineering & Management, Kolkata (2021 - 2025)
Research Fellow, University of Calcutta (2014 - 2019)
Lecturer, Serampore College (2014)
Publications
- Chatterjee, A., Panja, M. M., Basu, U., Datta, D. and Mandal, B. N. Solving one dimensional advection diffusion transport equation by using CDV wavelet basis, Indian Journal of Pure and Applied Mathematics, 52 (2021), 872–896.
- Chatterjee, A., Changdar, S. and De, S. Study of nanoparticle as a drug carrier through stenosed arteries using Bernstein polynomials, International Journal for Computational Methods in Engineering Science and Mechanics, 21(5) (2020), 243–251.
- Chatterjee, A., De, S. and Mandal, B. N. Numerical solution of fractional-order integro-differential equations with nonlocal boundary conditions in Bernstein polynomial basis, Bulletin of the Calcutta Mathematical Society, 111(3) (2019), 211–224.
- Chatterjee, A., Basu, U. and Mandal, B. N. Numerical algorithm based on Bernstein polynomials for solving boundary value problems involving singular, singularly perturbed type differential equations, International Journal of Advances in Applied Mathematics and Mechanics, 5(3) (2018), 1–14.
- Chatterjee, A., Basu, U. and Mandal, B. N. Numerical algorithm based on Bernstein polynomials for solving nonlinear fractional diffusion-wave equation, International Journal of Advances in Applied Mathematics and Mechanics, 5(2) (2017), 9–15.
- Chatterjee, A., Basu, U. and Mandal, B. N. Numerical Solution of Volterra Type Fractional Order Integro-Differential Equations in Bernstein Polynomial Basis, Applied Mathematical Sciences, 11(6) (2017), 249–264.
- Chatterjee, A., Basu, U. and Mandal, B. N. Solution of a Cauchy singular fractional integro-differential equation in Bernstein polynomial basis, Applications and Applied Mathematics: An International Journal, 11(2) (2016), 766–779.