Journal Articles

  1. Prakrati Kushwah, Jitraj Saha. Performance analysis and accuracy of numerical methods for solving simultaneous nonlinear particulate processes with multidimensional extension. Procedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Volume 480, Issue 2300, Article 20240293, 2024.
  2. Arijit Das, Jitraj Saha. Approximate solutions to the nonlinear hyperbolic population balance equation: Convergence, error estimate and numerical simulations. Zeitschrift für angewandte Mathematik und Physik (ZAMP), Volume 75, Issue 4, Article 125, 2024.
  3. Arijit Das, Jitraj Saha. Trend to equilibrium solution for the discrete Safranov-Dubovskii aggregation equation with forcing. Proceedings of the Royal Society Edinburgh. Section A: Mathematics, 2024.
  4. Arijit Das, Prakrati Kushwah, Jitraj Saha, Mehakpreet Singh. Improved higher-order finite volume scheme and its convergence analysis for collisional breakage equation. Applied Numerical Mathematics, Volume 196, Pages 118-132, 2024.
  5. Prakrati Kushwah, Amit Paswan, Vamsinadh Thota, Jitraj Saha, Mehakpreet Singh, Kevin Moroney. New semi-analytical approach and its convergence analysis for a classical hyperbolic fragmentation model: A homotopy perturbation method. Journal of Computational Science, Volume 73, Article 102135, 2023.
  6. Prakrati Kushwah, Arijit Das, Jitraj Saha, Andreas Bück. Population balance equation for collisional breakage: A new numerical solution scheme and its convergence. Communications in Nonlinear Science and Numerical Simulation, Volume 121, Pages 107244, 2023.
  7. Jitraj Saha, Mehakpreet Singh. Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation. Numerische Mathematik, Volume 153, Issue 2-3, Pages 531-555, 2023.
  8. Farel William Viret Kharchandy, Arijit Das, Vamsinadh Thota, Jitraj Saha, Mehakpreet Singh. A note on the volume conservative solution to simultaneous aggregation and collisional breakage equation. Axioms, Volume 12, Issue 2, Article 181, 2023.
  9. Prakrati Kushwah, Jitraj Saha. Improved accuracy and convergence of homotopy-based solutions for aggregation-fragmentation models. Mathematical Methods in the Applied Sciences, Volume 46, issue 6, Pages 7180-7200, 2023. (pdf)
  10. Arijit Das, Jitraj Saha. On the mass conserving solutions to the singular kernel coagulation with multi-fragmentation. Japan Journal of Industrial and Applied Mathematics, Volume 40, Issue 1, Pages 563-588, 2023.
  11. Arijit Das, Jitraj Saha. The discrete Safronov-Dubovski aggregation equation: Instantaneous gelation and nonexistence theorem. Journal of Mathematical Analysis and Applications, Volume 514, Issue 1, Article 126310, 2022.
  12. Arijit Das, Jitraj Saha. Existence and uniqueness of mass conserving solutions to the coagulation and collision-induced breakage equation. The Journal of Analysis, Volume 30, Issue 3, Pages 1323-1340, 2022.
  13. Arijit Das, Jitraj Saha. On the global solutions of discrete Safronov-Dubovskii aggregation equation. Zeitschrift für angewandte Mathematik und Physik (ZAMP). Volume 72, Issue 5, Article 183. 2021.
  14. Arijit Das, Nilima Das, Jitraj Saha. An application of semigroup theory to the coagulation-fragmentation models. Turkish Journal of Mathematics. Volume 45, Issue 5, Pages 2282 - 2294, 2021.
  15. Jitraj Saha, Andreas Bück. Conservative finite volume schemes for multidimensional fragmentation problems. Mathematics. Volume 9, Issue 6, Pages 635, 2021.
  16. Jitraj Saha, Andreas Bück. Improved accuracy and convergence analysis of finite volume methods for particle fragmentation models. Mathematical Methods in the Applied Sciences. Volume 44, Issue 2, Pages 1913 - 1930, 2021. (pdf)
  17. Debdulal Ghosh, Jitraj Saha, Jitendra Kumar. Existence and uniqueness of a steady-state solution to a singular coagulation-fragmentation equation. Journal of Computational and Applied Mathematics. Volume 380, Pages 112992, 2020.
  18. Nilima Das, Jitraj Saha, Jitendra Kumar. An application of semigroup theory to pure fragmentation equation. The Journal of Analysis. Volume 28, Issue 1, Pages 95--106, 2020.
  19. Jitraj Saha, Nilima Das, Jitendra Kumar, Andreas Bück. Numerical solutions for multidimensional fragmentation problems using finite volume methods. Kinetic and Related Models. Volume 12, Issue 1, Pages 79--103, 2019. (pdf)
  20. Manotosh Kumbhakar, Jitraj Saha, Koeli Ghoshal, Jitendra Kumar, Vijay P. Singh. Vertical sediment concentration distribution in high-concentrated flows: An analytical solution using Homotopy Analysis Method. Communications in Theoretical Physics. Volume 70, Issue 3, Pages 367--378, 2018.
  21. Jitraj Saha, Jitendra Kumar, Stefan Heinrich. On the approximate solutions of fragmentation equations. Proceedings of the Royal Society A. Volume 474, Issue 2209, Pages 20170541, 2018. (pdf)
  22. Jitraj Saha, Jitendra Kumar, Stefan Heinrich. A volume-consistent discrete formulation of particle breakage equation. Computers & Chemical Engineering, Volume 97, Pages 147--160, 2017.
  23. Jitraj Saha, Jitendra Kumar, Andreas Bück, Evangelos Tsotsas. Finite volume approximations of breakage population balance equation. Chemical Engineering Research and Design. Volume 110, Pages 114--122, 2016.
  24. Jitendra Kumar, Jitraj Saha, Evangelos Tsotsas. Development and convergence analysis of a finite volume scheme for solving breakage equation. SIAM Journal on Numerical Analysis. Volume 53, Issue 4, Pages 1672--1689, 2015. (pdf)
  25. Jitraj Saha, Jitendra Kumar. The singular coagulation equation with multiple fragmentation. Zeitschrift für angewandte Mathematik und Physik (ZAMP). Volume 66, Issue 3, Pages 919--941, 2015. (pdf)
  26. Randhir Singh, Jitraj Saha, Jitendra Kumar. Adomian decomposition method for solving fragmentation and aggregation population balance equations. Journal of Applied Mathematics and Computing. Volume 48, Issue 1-2, Pages 265--292, 2015. (pdf)
  27. Jitraj Saha, Jitendra Kumar. Development of a mass conserving discretization technique for breakage problems and its convergence analysis. International Journal on Advances in Engineering Sciences and Applied Mathematics. Volume 7, Issue 1-2, Pages 51--61, 2015. (pdf)

Book chapters

  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. (pdf)
  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. (pdf)