Specialization

Mathematical and Numerical Analysis of ODE-PDE, Particulate Processes and Applications

Email

arijit.das@thapar.edu

Dr. Arijit Das is an Assistant Professor in the Department of Mathematics at Thapar Institute of Engineering and Technology (TIET), Patiala, Punjab, India. Prior to joining TIET, he worked as a postdoctoral researcher at the Chair for Dynamics, Control, Machine Learning, and Numerics—Alexander von Humboldt Professorship—in the Department of Mathematics at Friedrich-Alexander-Universität, Germany. He earned his PhD in June 2024 from the National Institute of Technology Tiruchirappalli, India. Dr. Das’s research revolves around the mathematical and numerical analysis of integro-differential equations, particularly in the context of particulate processes such as aggregation and fragmentation dynamics, as well as wave turbulence kinetics. His work has been widely recognized through publications in several prestigious journals. As an expert in his field, Dr. Das also serves as a reviewer for numerous high-impact journals and contributes to Mathematical Reviews (MathSciNet) of the American Mathematical Society.

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Education

• Ph.D., National Institute of Technology, Tiruchirappalli, Tamil Nadu, India.
• M. Sc. Applied Mathematics, Vidyasagar University, West Bengal, India.
• B. Sc (Mathematics Hons.), Midnapore College, West Bengal, India.

Experience:

• Assistant Professor: Thapar Institute of Engineering and Technology, Patiala, Punjab, India (July, 2025 to Present).
• Postdoctoral Research: Chair for Dynamics, Control, Machine Learning, and Numerics—Alexander von Humboldt Professorship—in the Department of Mathematics at Friedrich-Alexander-Universität, Germany (July 2024 to July 2025).

Description of Research Interests:

• His research focuses on the mathematical and numerical analysis of integro-differential equations, aiming to the study of real-world processes like particle evolution in coagulation and fragmentation dynamics, as well as wave turbulence kinetics. He concentrates on the following primary areas:
• Mathematical Analysis: He is dedicated to the analysis of solutions to the coagulation fragmentation models exploring existence, non-existence, and uniqueness characteristics.
• Asymptotic Analysis: His research also delves into the asymptomatic behavior of these solutions, particularly interested in investigating properties such as gelation, shattering or decay of energy.
• Numerical Approximations: To complement the theoretical investigations, he also involved in developing numerical schemes utilizing sectional methods, including finite volume, fixed pivot technique, etc. His work also encompasses a thorough convergence and stability analysis of these numerical approximations.

Publications:

1. Arijit Das, Minh-Binh Tran. Numerical schemes for a fully nonlinear coagulation-fragmentation model coming from wave kinetic theory, Proceeding of the Royal Society A: Mathematical, Physical and Engineering Science, Volume 481, Article 20250197, 2025.
2. Arijit Das, Jitraj Saha. Approximate solutions to the nonlinear hyperbolic population balance equation: Convergence, error estimates and numerical simulations, Zeitschrift für angewandte Mathematik und Physik (ZAMP), Volume 75, Article 125, 2024.
3. Arijit Das, Jitraj Saha. Trend to equilibrium solution for the discrete Safronov-Dubovskiĭ aggregation equation with forcing, Accepted for publication in Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Volume 155(3), Pages 869-892, 2023.
4. Arijit Das, Prakrati Kushwah, Jitraj Saha, Mehakpreet Singh. Improved higher-order finite-volume scheme and its convergence analysis for collisional breakage equation; Volume 196, Pages 118-132, Applied Numerical Mathematics, 2023.
5. Prakrati Kushwah, Arijit Das, Jitraj Saha, Andreas Bück. Population balance equation for collisional breakage: A new numerical solution scheme and its convergence, Volume 121, Pages 107244, Communication in Nonlinear Science and Numerical Simulation, 2023.
6. Farel William Viret Kharchandy, Arijit Das, Vamsinadh Thota, Jitraj Saha, Mahakpreet Singh. A note on the volume conserving solution to simultaneous aggregation and collisional breakage equation, Volume 12, Issue 2, Article 181, axioms, 2023.
7. Arijit Das, Jitraj Saha. On the mass conserving solutions to the singular kernel coagulation with multi fragmentation, Japan Journal of Industrial and Applied Mathematics, 40, 563-588, 2023.
8. Arijit Das, Jitraj Saha. The discrete Safronov-Dubovskiĭ aggregation equation: Instantaneous gelation and nonexistence theorem. Journal of Mathematical Analysis and Applications. Volume 514 Issue 1, Article 126310, 2022.
9. Arijit Das, Jitraj Saha. Existence and uniqueness of mass conserving solutions to the coagulation and collision induced breakage equation. The Journal of Analysis. 2022.
10. Arijit Das, Jitraj Saha. On the global solutions of discrete Safronov-Dubovskiĭ coagulation equation. Zeitschrift für angewandte Mathematik und Physik (ZAMP), Volume 72, Issue 5, Article 183, 2021.
11. Arijit Das, Nilima Das, Jitraj Saha. An application of semigroup theory to the coagulation-fragmentation models, Turkish Journal of Mathematics, Volume 45, Issue 5, 2282-2294, 2021.
12. Arijit Das, Jitraj Saha. Existence and Uniqueness of mass conserving solution to the coagulation, multi-fragmentation equations equation with compactly supported kernels, Lecture Notes in Electrical Engineering, Volume 897, 325-336, 2021.

International Conferences and Workshops:

Achievement, Awards and Recognitions

• European Embedded Control Institute: International Graduate School on Control (IGSC2025-M18): Control and Machine Learning; 30th June to 4th July 2025, University of Dubrovnik, Dubrovnik, Croatia.
• X Partial Differential Equations, Optimal Design and Numerics,18th to 30th August 2024, Benasque Science Centre, Benasque, Spain.
• International Conference on Latest Advances in Computational and Applied Mathematics (LACAM - 2024), 21st to 24th February 2024. Organized by IISER Thiruvananthapuram, Kerala, India.
• 1st International Conference on Applied Analysis Computation and Mathematical Modelling In Engineering (AACMME-2021). 24th to 26th February 2021. Organized by NIT Rourkela.
• 36th Annual Ramanujan Mathematical Society Conference (RMS-2021). 5th to 7th August 2021. Organized by Ramanujan Mathematical Society & Amrita Vishwa Vidyapeetham.
  • Post doctoral fellowship from the Chair for Dynamics, Control, Machine Learning, and Numerics—Alexander von Humboldt Professorship—in the Department of Mathematics at Friedrich-Alexander-Universität, Germany.
  • CSIR- NET Junior Research Fellowship (December 2019)
  • CSIR-NET Lectureship (June 2019)
  • GATE 2019
  • JAM- 2014