Education

B.Sc., Malda College, Malda Affiliated to University of Gour Banga (2011)

M.Sc.-IIT Guwahati, Guwahati, Assam (2013)

Ph.D.- IIT Kanpur under the supervision of B.V. Rathish Kumar (2019)

Teaching Experience

1. Assistant Professor, Department of Mathematics, Hari Singh College, a Constituent unit of Munger University: 30.05.2018-18.12.2023

2. Assistant Professor, Department of Mathematics, Memari College: 18.12.2023-02.02.2026

Industrial Experience

NA

Field of Specialization

Applied Mathematics

Courses Taught/Teaching

Mechanics: Semester-VI, B.Sc. 3rd Year, Spring 2026

Mathematical Methods: M.Sc. (Minor) 2nd year, Spring 2026

Research Area

PDE based image Processing, Reduced order Modeling for parametric PDE eigenvalue problems, Finite Element Method, Wavelet Method.

Experience

1. Postdoctoral Researcher at King Abdullah University of Science and Technology (KAUST), Saudi Arabia: 04.04.2022-03.05.2023 (Mentor: Prof. Daniele Boffi)

2. Postdoctoral Researcher at University of Twente, The Netherlands : 01.05.2021-31.03.2021 (Mentor: Dr. Fleurianne Bertrand)

Conference Papers Published

1. M. Alghamdi , F. Bertrand, D. Boffi , F. Bonizzoni , A. Halim, G. Priyadarshi, On the matching of eigensolutions to parametric partial differential equations, ECCOMAS Congress 2022 - 8th European Congress on Computational Methods in Applied Sciences and Engineering. https://www.scipedia.com/public/Alghamdi_et_al_2022a

Journal Papers Published

12. Abdul Halim, Abdur Rohim, B.V. Rathish Kumar, Ripan Saha, A Fractional Image Inpainting Model Using a Variant of Mumford-Shah Model, Multimed Tools Appl 84, 37975–37996 (2025).  https://doi.org/10.1007/s11042-025-20701-9

11. Daniele Boffi, Abdul Halim, Gopal Priyadarshi, On the effect of different samplings to the solution of parametric PDE Eigenvalue Problems, Examples and Counterexamples, vol. 6, pp. 100170, 2024. https://doi.org/10.1016/j.exco.2024.100170

10. Daniele Boffi, Abdul Halim, Gopal Priyadarshi, Reduced basis approximation of parametric eigenvalue problems in presence of clusters and intersections, Computational and Applied Mathematics,Vol. 43:443, 2024. https://doi.org/10.1007/s40314-024-02917-x

9. Moataz Alghamdi, Fleurianne Bertrand, Daniele Boffi, Abdul Halim, A data-driven method for parametric PDE eigenvalue problems using Gaussian processes with different covariance functions, Computational Methods in Applied Mathematics, Vol. 24(3), pp. 533-555, 2024. https://doi.org/10.1515/cmam-2023-0086

8. Abdul Halim, B.V. Rathish Kumar, Ajay Niranjan, Aditya Nigam,Walter Schneider, Chirag K. Ahuja, Sudhir K. Pathak, A Colour Image Segmentation Method and Its Application to Medical Images, Signal, Image and Video Processing , SIViP, vol. 18, pp. 1635-1648 2023. https://doi.org/10.1007/s11760-023-02817-3

7. Fleurianne Bertrand, Daniele Boffi, Abdul Halim, Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression, Journal of Computational Physics, vol no 495, 2023, article no 112503. https://doi.org/10.1016/j.jcp.2023.112503

6. Fleurianne Bertrand, Daniele Boffi, Abdul Halim, A reduced order model for the finite element approximation of eigenvalue problems, Computer methods in Applied Mechanics and Engineering, vol. 404, 2023, article no 115696. https://doi.org/10.1016/j.cma.2022.115696

5. Abdul Halim, B.V. Rathish Kumar. A TV − L2 − H−1 model for effective denoising, Computers and Mathematics with Applications, vol. 80(10), pp. 2176-2193, 2020. https://doi.org/10.1016/j.camwa.2020.09.009

4. Abdul Halim, B.V. Rathish Kumar, An anisotropic PDE model for image inpainting, Computers and Mathematics with Applications, vol.79(9), pp. 2701–2721, 2020. https://doi.org/10.1016/j.camwa.2019.12.002

3. B.V. Rathish Kumar, Abdul Halim, Rowthu Vijayakrishna, Higher Oder PDE based Model for Segmenting Noisy Image, IET Image Processing, vol. 14(11), pp. 2597-2609, 2020. https://doi.org/10.1049/iet-ipr.2019.0885

2. B.V. Rathish Kumar, Abdul Halim, A Linear Fourth Order PDE Based Gray Scale Image Inpainting Model, Computational and Applied Mathematics, vol. 38(1), pp. 1-21, 2019. https://doi.org/10.1007/s40314-019-0768-x

1. Rowthu Vijayakrishna, B.V. Rathish Kumar, Abdul Halim, A PDE Based Image Segmentation Using Fourier Spectral Method, Differential Equations and Dynamical Systems- vol. 30(1), 469–484 (2022) but published online in 2018. https://doi.org/10.1007/s12591-018-0414-x

Orientation/Refresher/QIP CourseAttended/Organized

1. Attended 4^th Faculty Induction Programme organized by MMTTC, SRCC, Delhi during 01.09.25-29.09.2025.

Seminar/Conference/Workshop

1. Presented paper entitled  A new two-phase image segmentation model using Total Generalised Variation in International Conference on Mathematics and Application (ICMA), March 06-07, The University of Burdwan, Burdwan, West Bengal, India.

2. Presented paper entitled A new image inpainting model using non-convex Regularizing term. Innovations in Mathematics: An international Conference on Research and Applications (IMICRA), December 11-12, Tehatta Sadananda Mahavidyalaya, Purbo Bardhhaman, West Bengal, India.