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Mathematics

Faculty Details

Jitraj Saha Assistant Professor
Joined the Institute in 2026
jsaha[dot]maths[at]nitdgp[dot]ac[dot]in
Publication

42

Publications

3

Sponsored Projects

0

Consultancy Projects
Education

1

Post Doctoral

5

Doctoral Students

0

UG Students

9

PG Dissertation
Education
  1. Ph.D., Mathematics, Indian Institute of Technology Kharagpur, West Bengal - 721302, India (2011 – 2017).
  2. M.Sc., Mathematics, Indian Institute of Technology Kharagpur, West Bengal - 721302, India (2009 – 2011).
  3. B.Sc., Mathematics (Honors), Serampore College (affiliated to University of Calcutta), West Bengal - 712201, India (2006 – 2009).
Work Experiences
  1. Assistant Professor, Department of Mathematics, National Institute of Technology Durgapur, West Bengal - 713209, India (May, 2026 – till date).
  2. Assistant Professor, Department of Mathematics, National Institute of Technology Tiruchairappalli, Tamil Nadu - 620015, India (April, 2018 – May, 2026).
  3. Research Associate, Department of Mathematics, Indian Institute of Technology Kharagpur, West Bengal – 721302, India (January, 2017 – March, 2018).
Research Interest
  1. Population Balance Problems
  2. Mathematical Analysis of ODEs and PDEs
  3. Numerical Analysis (stability, consistency and convergence)
  4. Application of Semi-analytical Methods like ADM, HAM etc.
  5. Semigroup Theory of Operators

 

Teachings

UG Students

Data Not Found!

PG Students

Data Not Found!

Post-Doctoral Students

S. Gnanasekaran

S. Gnanasekaran

Research Associate - I
Biological modeling, Numerical simulation
S. Gnanasekaran

S. Gnanasekaran

Research Associate - I
Biological modeling, Numerical simulation

Doctoral Students

Arijit Das

Arijit Das

Assistant Professor, Thapar Institite of Engineering and Technology
Mathematical analysis of Integro-differential equations
Mathematical Study of a Discrete Aggregation Model. (Thesis synopsis).
Arijit Das

Arijit Das

Assistant Professor, Thapar Institite of Engineering and Technology
Mathematical analysis of Integro-differential equations
Mathematical Study of a Discrete Aggregation Model. (Thesis synopsis).
Prakrati Kushwah

Prakrati Kushwah

N-PDF, Department of Mathematcis, Indian Institute of Technology Guwahati
Modeling and simulation of various particulate processes.
Numerical Solution Of Nonlinear Particulate Models. (Thesis synopsis)
Prakrati Kushwah

Prakrati Kushwah

N-PDF, Department of Mathematcis, Indian Institute of Technology Guwahati
Modeling and simulation of various particulate processes.
Numerical Solution Of Nonlinear Particulate Models. (Thesis synopsis)
Amit Paswan

Amit Paswan

Numerical solutions of simultaneous particulate models.
Solution Methodologies for Multivariate Nonlinear Particulate Models. (Thesis synopsis)
Amit Paswan

Amit Paswan

Numerical solutions of simultaneous particulate models.
Solution Methodologies for Multivariate Nonlinear Particulate Models. (Thesis synopsis)
Farel William Viret Kharchandy

Farel William Viret Kharchandy

Mathematical analysis of non-equilibrium steady-sates for various nonlinear particulate models.
Steady-state Solutions to Nonlinear Particulate Models. (Thesis synopsis)
Farel William Viret Kharchandy

Farel William Viret Kharchandy

Mathematical analysis of non-equilibrium steady-sates for various nonlinear particulate models.
Steady-state Solutions to Nonlinear Particulate Models. (Thesis synopsis)
Anupama Ghorai

Anupama Ghorai

Senior Research Fellow, Department of Mathematics, NIT Tiruchirappalli
Mathematical analysis of reaction-diffusion problems
Anupama Ghorai

Anupama Ghorai

Senior Research Fellow, Department of Mathematics, NIT Tiruchirappalli
Mathematical analysis of reaction-diffusion problems

Projects

Sl.No. Title Name of the PI Name of the CoPIs Funding Agency Amount (Rs.) Project Type Project Status Date of Initiation Date of Completion
1 Understanding Solutions in Chemotaxis-Driven Biological Systems: Existence, Blow-up and Asymptotic Behavior. Jitraj Saha NA Anusandhan National Research Foundation (ANRF) under the scheme Advanced Research Grants (ARG)-MATRICES 3,000,000 Sponsored Ongoing 2026-04-28 2031-04-27
2 The nonlinear evolution equations for particulate models: Well-posedness, Asymptotic analysis and Numerical simulations. Jitraj Saha NA Anusandhan National Research Foundation (ANRF) under the scheme Core Research Grants (CRG) 3,280,283 Sponsored Ongoing 2024-05-28 2027-05-27
3 Analytical solutions for the population balance models representing collision induced random scission. Jitraj Saha NA Dean Research & Consultancy (R & C) under the Seed Grant, National Institute of Technology Tiruchirappalli. 500,000 Sponsored Completed 2019-07-31 2022-06-30

Projects

Sl.No. Title Name of the PI Name of the CoPIs Funding Agency Amount (Rs.) Project Type Project Status Date of Initiation Date of Completion
1 Understanding Solutions in Chemotaxis-Driven Biological Systems: Existence, Blow-up and Asymptotic Behavior. Jitraj Saha NA Anusandhan National Research Foundation (ANRF) under the scheme Advanced Research Grants (ARG)-MATRICES 3,000,000 Sponsored Ongoing 2026-04-28 2031-04-27
2 The nonlinear evolution equations for particulate models: Well-posedness, Asymptotic analysis and Numerical simulations. Jitraj Saha NA Anusandhan National Research Foundation (ANRF) under the scheme Core Research Grants (CRG) 3,280,283 Sponsored Ongoing 2024-05-28 2027-05-27
3 Analytical solutions for the population balance models representing collision induced random scission. Jitraj Saha NA Dean Research & Consultancy (R & C) under the Seed Grant, National Institute of Technology Tiruchirappalli. 500,000 Sponsored Completed 2019-07-31 2022-06-30

Projects

Sl.No. Title Name of the PI Name of the CoPIs Funding Agency Amount (Rs.) Project Type Project Status Date of Initiation Date of Completion
Indexing

12

Google Scholar h-index

14

Google Scholar i10-index

11

Scopus h-index

Journals

ID Details Year
2026 1. Solutions of mixed population balance equation with nonlinear multivariate aggregation, breakage and growth Amit Paswan, Anupama Ghorai, Jitraj Saha Numerical Methods for Partial Differential Equations. SCI 2026
2026 2. A note on the analytical approach and its efficiency for solving multivariate breakage population balance equations Prakrati Kushwah, Jitraj Saha, Stefan Heinrich Advanced Powder Technology SCI 2026
2026 3. Accelerated semi-analytical framework of encounter-driven Lifshitz–Slyozov model in supersaturated solutions.  Prakrati Kushwah, Jitraj Saha and Andreas Bueck. Mathematics and Computers in Simulation. 248, Pages 824-845. SCI https://doi.org/10.1016/j.matcom.2026.04.043 2026
2026 4. Global existence and stability in a class of chemotaxis systems with lethal interactions, nonlinear diffusion and production. Gnanasekaran S., Jitraj Saha.  Nonlinear Analysis 268, Article 114079. SCI https://doi.org/10.1016/j.na.2026.114079 2026
2026 5. Convergence to the steady-state solutions of the multi-variate Redner-Ben-Avraham-Kahng cluster system with source injection. Farel William Viret Kharchandy, Jitraj Saha and Vamsinadh Thota.  Journal of Physics A: Mathematical and Theoretical. 59 (5), Article 055701. SCI https://iopscience.iop.org/article/10.1088/1751-8121/ae3bbb 2026
2026 6. The simultaneous effect of chemotaxis and alarm-taxis on the global existence and stability of a predator-prey system. Gnanasekaran S., Jitraj Saha, Rafael Diaz Fuentes. Mathematical Methods in the Applied Sciences. 49 (8), Pages 8383-8424 SCI https://doi.org/10.1002/mma.70477 2026
2026 7. A review on the efficiency of iterative techniques for solving multivariate nonlinear particulate problems. Amit Paswan, Jitraj Saha. Mathematical Methods in the Applied Sciences. 49 (8), Pages 7946-7960 SCI https://doi.org/10.1002/mma.70455 2026
2026 8. Convergence-rate and error analysis of a cell average technique for collisional breakage equation with bivariate modeling. Prakrati Kushwah, Anupama Ghorai, Jitraj Saha.  Zeitschrift für angewandte Mathematik und Physik (ZAMP) 77 (2), Article 45. SCI https://doi.org/10.1007/s00033-025-02696-3 2026
2026 9. Stationary-state solutions to the continuous Redner-Ben-Avraham-Kahng cluster system due to injection of source and efflux. Farel William Viret Kharchandy, Vamsinadh Thota, Jitraj Saha. Zeitschrift für angewandte Mathematik und Physik (ZAMP) 77 (2), Article 51. SCI https://doi.org/10.1007/s00033-025-02690-9 2026
2026 10. An improved meshfree approach for solving nonlinear multivariate models involving aggregation, breakage, growth and source. Amit Paswan, Jitraj Saha, Stefan Heinrich. Advanced Powder Technology 37 (1), Article 105145. SCI https://doi.org/10.1016/j.apt.2025.105145 2026
2025 11. Solution of coupled nonlinear hyperbolic type aggregation-breakage models with two-dimensional extension. Amit Paswan, Prakrati Kushwah, Vamsinadh Thota, Jitraj Saha. Chaos, Solitons & Fractals 199 (2), Article 116773. SCI https://doi.org/10.1016/j.chaos.2025.116773 2025
2025 12. Existence, stability and nonlinear estimates of stationary-state solutions to the nonlinear aggregation with collision-induced fragmentation model. Farel William Viret Kharchandy, Vamsinadh Thota, Jitraj Saha. Physica D: Nonlinear Phenomena 475, Article 134579. SCI https://doi.org/10.1016/j.physd.2025.134579 2025
2025 13. An insight into discrete and accelerated decomposition techniques for improved accuracy of multi-dimensional hyperbolic aggregation model arising in bubble column. Prakrati Kushwah, Kamalika Roy, Andreas Bück, Jitraj Saha. Physics of Fluids 37 (3), Article 033310. SCI https://doi.org/10.1063/5.0255081 2025
2024 14. Performance analysis and accuracy of numerical methods for solving simultaneous nonlinear particulate processes with multidimensional extension. Prakrati Kushwah, Jitraj Saha. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480 (2300), Article 20240293 SCI https://doi.org/10.1098/rspa.2024.0293 2024
2024 15. Approximate solutions to the nonlinear hyperbolic population balance equation: Convergence, error estimate and numerical simulations. Arijit Das, Jitraj Saha. Zeitschrift für angewandte Mathematik und Physik (ZAMP) 75 (4), Article 125 SCI https://doi.org/10.1007/s00033-024-02264-1 2024
2024 16. Trend to equilibrium solution for the discrete Safranov-Dubovskii aggregation equation with forcing. Arijit Das, Jitraj Saha Proceedings of the Royal Society Edinburgh. Section A: Mathematics 155 (3), Pages 869-892 SCI https://doi.org/10.1017/prm.2023.116 2024
2024 17. Improved higher-order finite volume scheme and its convergence analysis for collisional breakage equation. Arijit Das, Prakrati Kushwah, Jitraj Saha, Mehakpreet Singh. Applied Numerical Mathematics 196, Pages 118-132 SCI https://doi.org/10.1016/j.apnum.2023.10.010 2024
2023 18. New semi-analytical approach and its convergence analysis for a classical hyperbolic fragmentation model: A homotopy perturbation method. Prakrati Kushwah, Amit Paswan, Vamsinadh Thota, Jitraj Saha, Mehakpreet Singh, Kevin Moroney. Journal of Computational Science 73, Article 102135 SCI https://doi.org/10.1016/j.jocs.2023.102135 2023
2023 19. Population balance equation for collisional breakage: A new numerical solution scheme and its convergence. Prakrati Kushwah, Arijit Das, Jitraj Saha, Andreas Bück. Communications in Nonlinear Science and Numerical Simulation 121, Article 107244 SCI https://doi.org/10.1016/j.cnsns.2023.107244 2023
2023 20. Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation. Jitraj Saha, Mehakpreet Singh. Numerische Mathematik 153 (2-3), Pages 531-555 SCI https://doi.org/10.1007/s00211-023-01344-0 2023
2023 21. A note on the volume conservative solution to simultaneous aggregation and collisional breakage equation. Farel William Viret Kharchandy, Arijit Das, Vamsinadh Thota, Jitraj Saha, Mehakpreet Singh. Axioms 12 (2), Article 181 SCI https://doi.org/10.3390/axioms12020181 2023
2023 22. Improved accuracy and convergence of homotopy-based solutions for aggregation-fragmentation models Prakrati Kushwah, Jitraj Saha. Mathematical Methods in the Applied Sciences 46 (6), Pages 7180-7200 SCI https://doi.org/10.1002/mma.8963 2023
2023 23. On the mass conserving solutions to the singular kernel coagulation with multi-fragmentation. Arijit Das, Jitraj Saha. Japan Journal of Industrial and Applied Mathematics 40 (1), Pages 563-588 SCI https://doi.org/10.1007/s13160-022-00544-9 2023
2022 24. The discrete Safronov-Dubovski aggregation equation: Instantaneous gelation and nonexistence theorem. Arijit Das, Jitraj Saha. Journal of Mathematical Analysis and Applications 514 (1), Article 126310 SCI https://doi.org/10.1016/j.jmaa.2022.126310 2022
2022 25. Existence and uniqueness of mass conserving solutions to the coagulation and collision-induced breakage equation. Arijit Das, Jitraj Saha. The Journal of Analysis 30 (3), Pages 1323-1340 SCI/SCOPUS https://doi.org/10.1007/s41478-022-00407-z 2022
2021 26. On the global solutions of discrete Safronov-Dubovskii aggregation equation. Arijit Das, Jitraj Saha. Zeitschrift für angewandte Mathematik und Physik (ZAMP). 72 (5), Article 183 SCI https://doi.org/10.1007/s00033-021-01612-9 2021
2021 27. An application of semigroup theory to the coagulation-fragmentation models. Arijit Das, Nilima Das, Jitraj Saha. Turkish Journal of Mathematics. 45 (5), Pages 2282-2294 SCI https://doi.org/10.3906/mat-2101-114 2021
2021 28. Conservative finite volume schemes for multidimensional fragmentation problems. Jitraj Saha, Andreas Bück. Mathematics  9 (6), Article 635 SCI https://doi.org/10.3390/math9060635 2021
2021 29. Improved accuracy and convergence analysis of finite volume methods for particle fragmentation models. Jitraj Saha, Andreas Bück. Mathematical Methods in the Applied Sciences. 44 (2), Pages 1913-1930 SCI https://doi.org/10.1002/mma.6890 2021
2020 30. Existence and uniqueness of a steady-state solution to a singular coagulation-fragmentation equation. Debdulal Ghosh, Jitraj Saha, Jitendra Kumar. Journal of Computational and Applied Mathematics. 380, Article 112992 SCI https://doi.org/10.1016/j.cam.2020.112992 2020
2020 31. An application of semigroup theory to pure fragmentation equation. Nilima Das, Jitraj Saha, Jitendra Kumar. The Journal of Analysis. 28 (1), Pages 95-106 SCI/SCOPUS https://doi.org/10.1007/s41478-017-0045-6 2020
2019 32. Numerical solutions for multidimensional fragmentation problems using finite volume methods. Jitraj Saha, Nilima Das, Jitendra Kumar, Andreas Bück. Kinetic and Related Models. 12 (1), Pages 79-103 SCI https://doi.org/10.3934/krm.2019004 2019
2018 33. Vertical sediment concentration distribution in high-concentrated flows: An analytical solution using Homotopy Analysis Method. Manotosh Kumbhakar, Jitraj Saha, Koeli Ghoshal, Jitendra Kumar, Vijay P. Singh. Communications in Theoretical Physics. 70 (3), Pages 367-378 SCI 10.1088/0253-6102/70/3/367 2018
2018 34. On the approximate solutions of fragmentation equations. Jitraj Saha, Jitendra Kumar, Stefan Heinrich. Proceedings of the Royal Society A. 474 (2209), Article 20170541 SCI https://doi.org/10.1098/rspa.2017.0541 2018
2016 35. A volume-consistent discrete formulation of particle breakage equation. Jitraj Saha, Jitendra Kumar, Stefan Heinrich. Computers & Chemical Engineering 97, Pages 147-160 SCI https://doi.org/10.1016/j.compchemeng.2016.11.013 2016
2016 36. Finite volume approximations of breakage population balance equation. Jitraj Saha, Jitendra Kumar, Andreas Bück, Evangelos Tsotsas.  Chemical Engineering Research and Design.  110, Pages 114-122 SCI https://doi.org/10.1016/j.cherd.2016.02.012 2016
2015 37. Development and convergence analysis of a finite volume scheme for solving breakage equation. Jitendra Kumar, Jitraj Saha, Evangelos Tsotsas. SIAM Journal on Numerical Analysis. 53 (4), Pages 1672-1689 SCI https://doi.org/10.1137/140980247 2015
2015 38. The singular coagulation equation with multiple fragmentation. Jitraj Saha, Jitendra Kumar. Zeitschrift für angewandte Mathematik und Physik (ZAMP). 66 (3), Pages 919-941 SCI https://doi.org/10.1007/s00033-014-0452-3 2015
2015 39. Adomian decomposition method for solving fragmentation and aggregation population balance equations. Randhir Singh, Jitraj Saha, Jitendra Kumar. Journal of Applied Mathematics and Computing. 48 (1-2), Pages 265-292 SCI https://doi.org/10.1007/s12190-014-0802-5 2015
2015 40. Development of a mass conserving discretization technique for breakage problems and its convergence analysis. Jitraj Saha, Jitendra Kumar.  International Journal on Advances in Engineering Sciences and Applied Mathematics. 7 (1-2), Pages 51-61 SCI/SCOPUS https://doi.org/10.1007/s12572-015-0128-z 2015

Conferences

ID Details Year

Books

ID Title
Prakrati Kushwah, Jitraj Saha. Solution of population balance equation using homotopy analysis method Springer Proceedings in Mathematics & Statistics, Volume 410, Pages 37-47, 2023. 1. Prakrati Kushwah, Jitraj Saha. Solution of population balance equation using homotopy analysis method Springer Proceedings in Mathematics & Statistics, Volume 410, Pages 37-47, 2023.

Arijit Das, Jitraj Saha. Existence and uniqueness of mass conserving solution to the coagulation, multi-fragmentation equations with compactly supported kernels. Lecture Notes in Electrical Engineering. Volume 897, Pages 325 - 336, 2022.

 2.

Arijit Das, Jitraj Saha. Existence and uniqueness of mass conserving solution to the coagulation, multi-fragmentation equations with compactly supported kernels. Lecture Notes in Electrical Engineering. Volume 897, Pages 325 - 336, 2022.

Patents

ID Details Patent Filed Year
Awards and Recognitions
  1. CSIR – NET (June, 2014)
  2. DAAD fellowship, Otto-von-Guericke University, Magdeburg - 39106, Germany (2013 – 2014)
  3. GATE - 2011
  4. VSRP - 2010, TIFR Mumbai (June 2010 – July 2010)
  5. JAM - 2009

 

Administrative Responsibilities
  1. Associate Dean (Students Welfare), NIT Tiruchirappalli (July 2022 - July 2025)
  2. Faculty Advisor, Literary Club (Akshara & Aayaam), NIT Tiruchirappalli (July 2021 - August 2022)
  3. Warden (Agate and Garnet-C hostels for first year B.Tech.), NIT Tiruchirappalli  (June 2019 - July 2022)
  4. Institute Core Committee Member, Central Seat Allocation Board (CSAB) – 2019, NIT Tiruchirappalli.

 

Contact

Email: jsaha.maths@nitdgp.ac.in

Academic Identity

Orcid Id
0000-0002-8864-5537
Scopus Id
56255694500
Researcher Id
2271165
Google Scholar Id