Dr. Jitendra Kumar

Professor
  • Department of Mathematics
  • Indian Institute of Technology Ropar
  • Rupnagar, Punjab - 140001, India
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Dr. Jitendra Kumar is presently working as a Professor at the Department of Mathematics, IIT Ropar, Punjab, India. He served IIT Kharagpur from 2009 to 2014 as an Assistant Professor, from 2014 to 2020 as Associate Professor and from 2020 to 2022 as a Professor. He completed his M.Sc. in Industrial Mathematics from IIT Roorkee and then from Technical University of Kaiserslautern, Germany. He was awarded doctorate in 2006 from Otto-von-Guericke University Magdeburg, Germany. After completing his Ph.D., he was offered a lectureship at the Institute for Analysis and Numerical Mathematics, Otto-von-Guericke University Magdeburg, Germany. Dr. Kumar is the recipient of several recognized awards and fellowships, including the Alexander von Humboldt fellowship, DAAD & DGF scholarships. He has published more than 100 articles in internal Journals of high repute. His research interests include Numerical solutions of integro-differential equations, numerical analysis and modelling and simulations of problems in particulate systems

  • Development of numerical methods for solving integro-differential equations
  • Convergence and stability of finite volume and finite difference methods
  • Modelling and simulation of population balances in particle technology
  • Existence and uniqueness of solutions of population balances
  • Monte Carlo simulations of pharmaceutical products
  • Inverse problems in population balances
  • Discrete element method simulations
2003 – 2006:

PhD – Mathematics, Institute for Analysis and Numerical Mathematics, Faculty of Mathematics, Otto von Guericke University Magdeburg, Germany

2001 – 2003:

Master of Science in Industrial Mathematics: Modelling and Scientific Computing, Technical University of Kaiserslautern, Germany

1999 – 2001:

Master of Science in Industrial Mathematics and Informatics, Indian Institute of Technology Roorkee, Uttarakhand, India

March 2022 – to Date:Professor, Department of Mathematics, Indian Institute of Technology Ropar, India
Feb 2020 – March 2022:Professor, Department of Mathematics, Indian Institute of Technology Kharagpur, India
Oct 2014 – Jan 2020:Associate Professor, Department of Mathematics, Indian Institute of Technology Kharagpur, India
May 2018 – Jun 2018:

Alexander von Humboldt Renewed Research Stay Fellowship, Institute of Particle Technology, Friedrich-Alexander University Erlangen-Nuremberg, Germany

May 2017 – Jul 2017:

Guest Professor, DFG priority programme 1679, Solids Process Engineering and Particle Technology, Hamburg University of Technology, Germany

May 2016 – Jul 2016:

Guest Professor, DFG priority programme 1679, Solids Process Engineering and Particle Technology, Hamburg University of Technology, Germany

May 2015 – Jul 2015:

Alexander von Humboldt Experienced Researcher, Thermal Process Engineering, Otto von Guericke University, Magdeburg, Germany

Jul 2009 – Oct 2014:

Assistant Professor, Department of Mathematics, Indian Institute of Technology Kharagpur, India

May 2014 – Jul 2014:

Alexander von Humboldt Experienced Researcher, Thermal Process Engineering, Otto von Guericke University, Magdeburg, Germany

Jan 2013 – Dec 2013:

Alexander von Humboldt Experienced Researcher, Thermal Process Engineering, Otto von Guericke University, Magdeburg, Germany

May 2011 – Jul 2011:

Visiting Fellow, Thermal Process Engineering, Otto von Guericke University, Magdeburg, Germany

May 2010 – Jul 2010:

Visiting Fellow, Institute for Analysis and Numerical Mathematics,  Otto von Guericke University Magdeburg, Germany

Dec 2009 – Dec 2009:

Visiting Fellow, Institute for Analysis and Numerical Mathematics,  Otto von Guericke University Magdeburg, Germany

Oct 2006 – Jul 2009:

Research Associate, Institute for Analysis and Numerical Mathematics,  Otto von Guericke University Magdeburg, Germany

Oct 2003 – Sep 2006:

Research Assistant, Institute of Process Equipments and Environmental Technology, Department of Chemical and Process Engineering, Otto von Guericke University Magdeburg, Germany

Jun 2005 – Jul 2005:

Visiting Fellow, Chemical and Biological Engineering , University of Sheffield, United Kingdom

Oct 2001 – Sep 2003:

Project Assistant, Department of Flow in Complex Structure, Fraunhofer Institute for Industrial Mathematics, Kaiserslautern, Germany

 Engineering Mathematics – II. (On Going)

 
Computational Partial Differential Equations (MA703)
  • Linear Algebra, Integral Transforms and Special Functions (MA102)(Summer 2023, Spring 2022)
  • Calculus (Summer 2023, Autumn 2022, 2023)
  • Linear Algebra, Numerical and Complex Analysis (Spring 2020)
  • Advanced Calculus (Autumn 2020, Autumn 2021)
  • Mathematics – I (Autumn 2017, 2016, 2015, 2014, 2010, 2009)
  • Mathematics – II (Spring 2019, 2018, 2017, 2012, 2011)
  • Engineering Mathematics – I (IIPE Vizag, Autumn 2016)
  • Engineering Mathematics – II (IIPE Vizag, Spring 2017)
  • Mathematical Methods (IIT Bhubaneswar, Autumn 2018)
  • Numerical Solutions of ODEs & PDEs (Spring 2016, 2015, 2014, 2010)
  • Advanced Numerical Analysis (Autumn 2019, 2015, 2011, 2010)
  • Transform Calculus (Autumn 2019, 2018, 2012, 2011)
  • Discrete Dynamical Systems (Spring 2012, 2010)
  • Advanced Numerical Techniques (Autumn 2018, 2009)
  • Computational Linear Algebra (Spring 2017)
  • Preparatory Mathematics (Autumn 2015)
  • Linear Algebra (Autumn 2014)
  • Partial Differential Equations (Autumn 2012)
  • Data Structures and Algorithms Lab (Spring 2017)
  • Advanced Numerical Techniques Lab (Spring 2019, 2016, 2014)
  • Advanced Programming Lab (Spring 2011)

103. Maharana, A., Das, A., Kumar, J., Sarkar, D.:: Multivariate population balance modeling and simulation of ultrasound-assisted crystallization of a plate-type pharmaceutical: Nucleation, growth, and breakage. Accepted for Publication in Computers and Chemical Engineering.

102. Yadav, N., Singh, M., Singh, S., Heinrich, S., Kumar, J.: Modified variational iteration method and its convergence analysis for solving nonlinear aggregation population balance equation. Accepted for Publication in Computers and Fluids.

101. Yadav, N., Singh, M., Singh, S., Singh, R., Kumar, J., Heinrich, S.: An efficient approach to obtain analytical solution of nonlinear particle aggregation equation for longer time domains. Advanced Powder Technology 35 (2024), 104370.

100. Mahto, L., De, T., Chakraborty, J., Kumar, J., Tripathi, A.: Accelerated DEM simulation of the hopper-screw feeder and tablet-press feeder using the multi-level coarse-graining technique. Accepted for Publication in Powder Technology.

99. Ghosh, D., Paul, J., Kumar, J., Yao, J.C.: The multi-dimensional coagulation-fragmentation model with unbounded kernel. Accepted for Publication in Fixed Point Theory.

98. Ghosh, D., Kumar, J., Petrusel, A.: Stability analysis of time dependent solutions for the coagulation equation with source and efflux. Accepted for Publication in Journal of Nonlinear and Convex Analysis.

97. Yadav, N., Das, D., Singh, M., Singh, S., Kumar, J.: Homotopy perturbation method and its convergence analysis for nonlinear collisional fragmentation equations. Proceedings of the Royal Society A 479 (2023), 2279.

96. Yadav, S., Keshav, S., Singh, S., Singh, M., Kumar, J.: Homotopy analysis method and its convergence analysis for a nonlinear simultaneous aggregation-fragmentation model. Chaos, Solitons and Fractals 177 (2023), 114204.

95. Maharana, A., Sehrawat, P., Das, A., Kumar, J., Sarkar, D.: Multi-Dimensional Population Balance Modeling of Sonocrystallization of Pyrazinamide with Systematic Estimation of Kinetic Parameters based on Uncertainty and Sensitivity Analyses. Chemical Engineering Research and Design 200 (2023), 356-373.

94. De, T., Das, A., Singh, M., Kumar, J.: Enhancing Efficiency in Particle Aggregation Simulations: Coarse-Grained Particle Modeling in the DEM-PBM Coupled Framework. Computer Methods in Applied Mechanics and Engineering 417, Part A, (2023), 116436.

93. Yadav, N., Singh, M., Singh, S., Kumar, J.: A Note on Homotopy Perturbation Approach for Nonlinear Coagulation Equation to Improve Series Solutions for Longer Times. Chaos, Solitons and Fractals 173 (2023), 113628.

92. Paul, J., Ghosh, D., Kumar, J.: Accurate and efficient flux-corrected finite volume approximation for the fragmentation problem. Journal of Mathematical Chemistry 61 (2023), 1696-1716.

91. De, T., Das, A., Kumar, J.: On the prediction of particle collision behaviour in coarse-grained and resolved systems. Particulate Science and Technology 41(2023), 1170-1184.

90. Das, A., Paul, J., Heinrich, S., Kumar, J.: Development and analysis of moments preserving finite volume schemes for multi-variate nonlinear breakage model. Proceedings of the Royal Society A 479 (2023), 2271.

89. Ghosh, D., Paul, J., Kumar, J.: On equilibrium solution to singular coagulation equation with source and efflux. Journal of Computational and Applied Mathematics 422(2023), 114909.

88. Paul, J., Das, A., Kumar, J.: Moments preserving finite volume approximations for the non-linear collisional fragmentation model. Applied Mathematics and Computation 436(2022), 127494.

87. Sehrawat, P., Sarkar, D., Kumar, J.: Parameter Identification in Population Balance Models Using Uncertainty and Sensitivity Analysis. Industrial & Engineering Chemistry Research (2022).

86. Das, A., De, T., Kaur, G., Dosta, M., Heinrich, M., Kumar, J.: An efficient multiscale bi-directional population balance modelling–discrete element model coupling framework to model one-dimensional aggregation mechanism. Proceedings of the Royal Society A 478 (2022), 2261.

85. De, T., Chakraborty, J., Kumar, J., Tripathi, A., Sen, M., Ketterhagen, W.: A particle location based multi-level coarse-graining technique for Discrete Element Method (DEM) simulation. Powder Technology 398 (2022), 117058.

84. Kumbhakar, M., Mohan, S., Ghoshal, K., Kumar, J., Singh, V.P.: Semi-analytical solution for non-equilibrium suspended sediment transport in open channels with concentration-dependent settling velocity. Journal of Hydrologic Engineering 27 (2022).

83. Roy, N., Dürr R., Bück, A., Kumar, J., Sundar S.: Numerical methods for particle agglomeration and breakage in lid-driven cavity flows at low Reynolds numbers. Mathematics and Computers in Simulation 192 (2022), 33-49.

82. Mohan, S., Kundu, S., Ghoshal, K., Kumar, J.: Numerical study on two dimensional distribution of streamwise velocity in smooth open channel turbulent flows. Archives of Mechanics 73 (2021), 175-200.

81. Das, A., Kumar, J.: Population balance modeling of volume and time dependent spray fluidized bed aggregation kernel using Monte Carlo simulation results. Applied Mathematical Modelling 92 (2021), 748-769.

80. Debnath, S., Ghoshal, K., Kumar, J.: Unsteady two-dimensional suspended sediment transport in open channel flow subject to deposition and re-entrainment. Journal of Engineering Mathematics 126:6 (2021).

79. Das, A., Kumar, J., Dosta M., Heinrich, S.: On the approximate solution and modelling of the kernel of nonlinear breakage population balance equation. SIAM Journal on Scientific Computing 42 (2020), B1570-B1598.

78. Das, A., Dutta S., Sen M., Saxena A., Kumar J., Giri L., Murhammer D.W., Chakraborty J.: A detailed model and Monte Carlo simulation for predicting DIP genome length distribution in baculovirus infection of insect cells. Biotechnology and Bioengineering 118 (2020), 238-252.

77. Das, A., Bhoi, S., Sarkar, D., Kumar, J.: Sonofragmentation of rectangular plate-like crystals: Bivariate population balance modeling and experimental validation. Crystal Growth & Design 20 (2020), 5424-5434.

76. Ghosh, D., Saha, J., Kumar, J.: Existence and uniqueness of steady-state solution to a singular coagulation-fragmentation equation. Journal of Computational and Applied Mathematics 380 (2020), 112992.

75. Kaur, G., Singh, R., Singh, M., Kumar, J., Matsoukas, T.: Reply to Comment on “Analytical approach for solving population balances: a homotopy perturbation method” J. Phys. A 52 (2019) 385201. Physics A: Mathematical and Theoretical 53 (2020), 388002.

74. Das, A., Bück, A., Kumar, J.: Selection function in breakage processes: PBM and Monte Carlo modeling. Advanced Powder Technology 31 (2020), 1457-1469.

73. Ghosh, D., Kumar, J.: Uniqueness of solutions to the coagulation-fragmentation equation with singular kernel. Japan Journal of Industrial and Applied Mathematics 37 (2020), 487-505.

72. Mohan, S., Kumbhakar, M., Ghoshal, K., Kumar, J.: Semi-analytical solution for one-dimensional unsteady sediment transport model in open channel with concentration-dependent settling velocity. Physica Scripta 95 (2020), 055204.

71. Das, N., Saha, J., Kumar, J.: An application of semigroup theory to the pure fragmentation equation. The Journal of Analysis 28 (2020), 95-106.

70 .Skorych, V., Das, N., Dosta, M., Kumar, J., Heinrich, S.: Application of transformation matrices to the solution of population balance equations. Processes 7 (2019), 535.

69. Kaur, G., Singh, R., Singh, M., Kumar, J., Matsoukas, T.: Analytical approach for solving population balances: a homotopy perturbation method. Journal of Physics A: Mathematical and Theoretical 52 (2019), 385201.

68. Mohan, S., Kumbhakar, M., Ghoshal, K., Kumar, J.: Semi-Analytical Solution for Simultaneous Distribution of Fluid Velocity and Sediment Concentration in Open Channel Flow. Journal of Engineering Mechanics 145 (2019), 04019090.

67. Bhoi, S., Das, A., Kumar, J., Sarkar, D.: Sonofragmentation of two-dimensional plate-like crystals: Experiments and Monte Carlo simulations. Chemical Engineering Science 203 (2019), 12-27.

66. Kaur, G., Singh, M., Matsoukas T., Kumar, J., De Beer, T., Nopens, I.: Two-Compartment Modeling and Dynamics of Top-Sprayed Fluidized Bed Granulator. Applied Mathematical Modelling 68 (2019), 267-280.

65. Kaur, G., Singh, M., Kumar, J., De Beer, T., Nopens, I.: Mathematical Modelling and Simulation of a Spray Fluidized Bed Granulator. Processes 6 (2018), 195.

64. Ghosh, D., Kumar, J.: Existence of mass conserving solution for the coagulation-fragmentation equation with singular kernel. Japan Journal of Industrial and Applied Mathematics 35 (2018), 1283-1302.

63. Kumbhakar, M., Saha, J., Ghoshal, K., Kumar, J., Singh, V.P.: Vertical sediment concentration distribution in high-concentrated flows: An analytical solution using Homotopy Analysis Method. Communications in Theoretical Physics 70 (2018), 367-378.

62. Saha, J., Das, N., Kumar, J., Bück A.: Numerical solutions for multidimensional fragmentation problems using finite volume methods. Kinetic and Related Models 12 (2019), 79-103.

61. Paul, J., Kumar, J.: An existence-uniqueness result for the pure binary collisional breakage equation. Mathematical Methods in the Applied Sciences 41 (2018), 2715-2732.

60. Saha, J., Kumar, J., Heinrich S.: On the approximate solutions of fragmentation equations. Proceedings of the Royal Society A 476 (2018).

59. Singh, M., Kaur, G., Kumar, J., Beer, T., Nopens, I.: A comparative study of numerical approximations for solving Smoluchowski coagulation equation. Brazilian Journal of Chemical Engineering 35 (2018), 1343 – 1354.

58. Singh, R., Das, N., Kumar, J.: The optimal modified variational iteration method for the Lane-Emden equations with Neumann and Robin boundary conditions. The European Physical Journal Plus (2017), 132-251.

57. Kaur, G., Kumar, J., Heinrich, S.: A weighted finite volume scheme for multivariate aggregation population balance equation. Computers & Chemical Engineering 101 (2017), 1- 10.

56. Saha, J., Kumar, J., Heinrich, S.: A volume-consistent discrete formulation of particle breakage equation. Computers & Chemical Engineering 97 (2017), 147-160.

55. Singh, M., Kumar, J., Bück, A., Tsotsas, E: An improved and efficient finite volume scheme for bivariate aggregation population balance equation. Journal of Computational and Applied Mathematics 308 (2016), 83-97.

54. Saha, J., Kumar, J., Bück, A., Tsotsas, E: Finite volume approximations of breakage population balance equation. Chemical Engineering Research and Design, 110 (2016), 114-122.

53. Das, N., Singh, R., Wazwaz A.M., Kumar J.: An algorithm based on the variational iteration techique for the Bratu-type and the Lane-Emden problems. Journal of Mathematical Chemistry 54 (2016), 527-551.

52. Kumar, J., Kaur, G., Tsotsas E.: An accurate and efficient discrete formulation of aggregation population balance equation. Kinetic and Related Models 9 (2016), 373-391.

51. Singh, M., Kumar, J., Bück, A., Tsotsas, E.: A volume consistent discrete formulation of aggregation population balance equations. Mathematical Methods in the Applied Sciences 39 (2016), 2275-2286.

50. Chakraborty, J., Kumar, J., Singh, M., Mahoney, A., Ramkrishna, D.: Inverse problems in population balances. Determination of aggregation kernel by weighted residuals. Industrial & Engineering Chemistry Research 54 (2015), 10530-10538.

49. Saha, J., Kumar, J.: Development of a mass conserving discretization technique for breakage problems and its convergence analysis. International Journal of Advances in Engineering Sciences and Applied Mathematics 7 (2015), 51-61.

48. Kumar, J., Saha, J., Tsotsas, E.: Dovelopment and convergenve analysis of a finite volume scheme for solving breakage equation. SIAM Journal on Numerical Analysis 53 (2015), 1672-1689.

47. Singh, R., Wazwaz, A.M., Kumar, J.: An efficient semi-numerical technique for solving nonlinear singular boundary value problems arising in various physical models. International Journal of Computer Mathematics 93 (2016), 1330-1346.

46. Saha, J., Kumar, J.: The singular coagulation equation with multiple fragmentation. Journal of Applied Mathematics and Physics (ZAMP) 66 (2015), 919-941.

45. Singh, R., Saha, J., Kumar, J.: Adomian decomposition method for solving fragmentation and aggregation population balance equations. Journal of Applied Mathematics and Computing 48 (2015), 265-292.

44. Hussain, M., Kumar, J., Tsotsas, E.: Micro-Macro transition of population balances in fluidized bed granulation. Procedia Engineering 102 (2015), 1399-1407.

43. Hussain, M., Kumar, J., Tsotsas, E.: Modeling aggregation kinetics of fluidized bed spray agglomeration for porous particles. Powder Technology 270, Part B, (2015), 584-591.

42. Hussain, M., Kumar, J., Tsotsas, E.: A new framework for population balance modeling of spray fluidized bed agglomeration. Particuology 19 (2105), 141-154.

41. Singh, R., Nelakanti, G., Kumar, J.: Approximate solution of two-point boundary value problems using Adomian decomposition method with Green’s function. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 85 (2015), 51-61.

40. Kumar, R., Kumar, J., Warnecke, G.: Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations. Kinetic and Related Models (KRM) 7 (2014), 713-737.

39. Singh, R., Nelakanti, G., Kumar, J.: A new efficient technique for solving two-point boundary value problems for integro-differential equations. Journal of Mathematical Chemistry 52 (2014), 2030-2051.

38. Singh, R., Nelakanti, G., Kumar, J.: Approximate series solution of singular boundary value problems with derivative dependence using Green’s function technique. Computational and Applied Mathematics 33 (2014), 451-467.

37. Singh, M., Ghosh, D., Kumar, J.: A comparative study of different discretizations for solving bivariate aggregation population balance equation. Applied Mathematics and Computation 234 (2014), 434-451.

36. Singh, R., Kumar, J., Nelakanti, G.: Approximate series solution of fourth-order boundary value problems using decomposition method with Green’s function. Journal of Mathematical Chemistry 52 (2014), 1099-1118.

35. Singh, R., Kumar, J., Nelakanti, G.: Approximate series solution of nonlinear singular boundary value problems arising in physiology. The Scientific World Journal 2014 (2014), Article ID 945872.

34. Singh, R., Kumar, J.: An efficient numerical technique for the solution of nonlinear singular boundary value problems. Computer Physics Communications 185 (2014), 1282-1289.

33. Hussain, M., Kumar, J., Tsotsas, E.: Modeling of aggregation kernel using Monte Carlo simulations of spray fluidized bed agglomeration. American Institute of Chemical Engineers (AIChE) Journal 60 (2014), 855-868.

32. Hussain, M., Kumar, J.,Peglow, M., Tsotsas, E.: On two-compartment population balance modeling of spray fluidized bed agglomeration. Computers and Chemical Engineering 61 (2014), 185-202.

31. Singh, R., Nelakanti, G., Kumar, J.: Approximate solution of Urysohn integral equations using the Adomian decomposition method. The Scientific World Journal 2014 (2014), Article ID 150483.

30. Singh, R., Kumar, J.: The Adomian decomposition method with Green’s function for solving nonlinear singular boundary value problems. Journal of Applied Mathematics and Computing 44 (2014), 397-416.

29. Narni, N.R., Peglow, M., Warnecke, G., Kumar, J., Heinrich, S., Kuipers, J.A.M.: Modeling of aggregation kernels for fluidized beds using discrete particle model simulations. Particuology 13 (2014), 134-144.

28. Singh, R., Kumar, J.: A population balance model with simultaneous aggregation and breakage for the analysis for the synthesis of Titanium dioxide nano-particles. Indian Journal of Industrial and Applied Mathematics 4 (2013), 71-81.

27. Hussain, M., Kumar, J., Peglow, M., Tsotsas, E.: Modeling spray fludized bed aggregation kinetics on the basis of Monte-Carlo simulation results. Chemical Engineering Science 101 (2013), 35-45.

26. Kumar, J.: Comments on ‘Collision Efficiency in a Shear Flow [CES 68 (2012) 305-312]’. Chemical Engineering Science 97 (2013), 309-310.

25. Singh, R., Kumar, J., Nelakanti G.: Numerical solution of singular boundary value problems using Green’s function and improved decomposition method. Journal of Applied Mathematics and Computing 43 (2013), 409-425.

24. Singh, R., Kumar, J.: Computation of eigenvalues of singular Sturm-Liouville problems using modified Adomian decomposition method. International Journal of Nonlinear Science (IJNS) 15 (2013) 247-258.

23. Singh, R., Kumar, J.: Solving a class of singular two-point boundary value problems using new modified decomposition method. ISRN Computational Mathematics 2013 (2013), Article ID 262863.

22. Singh, R., Kumar, J., Nelakanti, G.: New approach for solving a class of doubly singular two-point boundary value problems using Adomian decomposition method. Advances in Numerical Analysis 2012 (2012), Article ID 541083.

21. Singh, M., Chakraborty, J., Kumar, J., Ramakanth, R.: Accurate and efficient solution of bivariate population balance equations using unstructured grids. Chemical Engineering Science 93 (2013), 1-10.

20. Kumar, R., Kumar, J.: Numerical simulation and convergence analysis of a finite volume scheme for solving general breakage population balance equations. Applied Mathematics and Computation 219 (2013), 5140-5151.

19. Kumar, R., Kumar, J.,Warnecke, G.: Moment preserving finite volume schemes for solving population balance equations incorporating aggregation, breakage, growth and source terms. Mathematical Models and Methods in Applied Science 23 (2013), 1235-1273.

18. Kumar, R., Kumar, J.: Finite volume scheme for multiple fragmentation equations. International Journal of Numerical Analysis and Modeling, Series B, 3 (2012), 270-284.

17. Bück, A., Klaunick G., Kumar, J., Peglow, M., Tsotsas, E.: Numerical simulation of particulate processes for control and estimation by spectral methods. AIChE Journal 58 (2012), 2309-2319.

16. Kumar, R., Kumar, J., Warnecke, G.: Numerical methods for solving two-dimensional aggregation population balance equations. Computers and Chemical Engineering 35 (2011), 999-1009.

15. Giri, A.K., Kumar, J., Warnecke, G.: The continuous coagulation equation with multiple fragmentations. Journal of Mathematical Analysis and Applications 374 (2011), 71-87.

14. Kumar, J., Warnecke, G.: A note on moment preservation of finite volume schemes for solving growth and aggregation population balance equations. SIAM Journal of Scientific Computing 32 (2010), 703-713.

13. Gokhale, Y.P., Kumar, R., Kumar, J., Hintz, W., Warnecke, G., Tomas, J.: Disintegration process of surface stabilized sol-gel TiO2 nanoparticles by population balances. Chemical Engineering Science 64 (2009), 5302-5307.

12. Kumar, J., Warnecke, G., Peglow, M., Heinrich, S.: Comparison of numerical methods for solving population balance equations incorporating aggregation and breakage. Powder Technology 189 (2009), 218-229.

11. Kumar, J., Warnecke, G.: Convergence analysis of sectional methods for solving breakage population balance equations-I. The fixed pivot technique. Numerische Mathematik (Springer) 111 (2008), 81-108.

10. Kumar, J., Warnecke, G.: Convergence analysis of sectional methods for solving breakage population balance equations-II. The cell average technique. Numerische Mathematik (Springer) 110 (2008), 539-559.

9. Kumar, J., Peglow, M., Warnecke, G., Heinrich, S.: The cell average technique for solving multi-dimensional aggregation population balance equation. Computers and Chemical Engineering 32 (2008), 1810-1830.

8. Kumar, J., Peglow, M., Warnecke, G., Heinrich, S.: An efficient numerical technique for solving population balance equation involving aggregation, breakage, growth and nucleation. Powder Technology 182 (2008), 81-104.

7. Peglow, M., Kumar, J., Hampel, R., Tsotsas, E., Heinrich, S.: Towards a complete population balance model for fluidized bed spray agglomeration. Drying Technology 25 (2007), 1321-1329.

6. Peglow, M., Kumar, J., Heinrich, S., Warnecke, G., Mörl, L., Wolf, B.: A generic population balance model for simultaneous agglomeration and drying in fluidized beds. Chemical. Engineering. Science 62 (2007), 513-532, special issue: Applications of fluidization.

5. Peglow, M., Kumar, J., Warnecke, G., Heinrich, S., Tsotsas, E., Mörl, L., Hounslow, M.: An improved discretized tracer mass distribution of Hounslow et al. AIChE Journal 52 (2006), 1326-1332.

4. Kumar, J., Peglow, M., Warnecke, G., Heinrich, S., Mörl, L.: Improved accuracy and convergence of discretized population balances for aggregation: The cell average technique. Chemical Engineering Science 61 (2006), 3327-3342.

3. Peglow, M., Kumar, J., Warnecke, G., Heinrich, S., Mörl, L.: A new technique to determine rate constants for growth and agglomeration with size and time dependent nuclei formation. Chemical Engineering Science 61 (2006), 282-292.

2. Kumar, J., Peglow, M., Warnecke, G., Heinrich, S., Mörl, L.: A discretized model for tracer population balance equation: Improved accuracy and convergence. Computers and Chemical Engineering 30 (2006), 1278-1292.

1. Peglow, M., Kumar, J., Mörl, L.: Investigation of coalescence kinetics of microcristalline cellulose in fluidized bed spray agglomeration- experimental studies and modelling approach. Brazilian Journal of Chemical Engineering 22 (2005), 165-172.

8. Das, A., Kumar, J.: Mathematical Modeling of Different Breakage PBE Kernels Using Monte Carlo Simulation Results In: Optimization of Pharmaceutical Processes(Eds.: Fytopoulos, A., Ramachandran, R., Pardalos, P.M.), Springer Optimization and Its Applications, Volume 189, 2022, ISBN 978-3-030-90924-6

7. Bhattacharyya, S., Kumar, J., Ghoshal, K., Eds: Mathematical Modeling and Computational Tools. Springer Proceedings in Mathematics & Statistics, Volume 320, 2020, ISBN 978-981-15-3614-4

6. Ghosh, D., Kumar, J.: Uniqueness and Asymptotic Behavior of the Solutions to a Singular Coagulation-Fragmentation Equation. In: Mathematical Modeling and Computational Tools (Eds.: Bhattacharyya, S., Kumar, J., Ghoshal, K.), Springer Proceedings in Mathematics & Statistics, Volume 320, 2020, ISBN 978-981-15-3614-4

5. Mohan, S., Debnath, S., Ghoshal, K., Kumar, J.: Distribution of Two-Dimensional Unsteady Sediment Concentration in an Open Channel Flow. In: Mathematical Modeling and Computational Tools (Eds.: Bhattacharyya, S., Kumar, J., Ghoshal, K.), Springer Proceedings in Mathematics & Statistics 320, 2020, ISBN 978-981-15-3614-4

4. Ghosh, D., Kumar, J.: Existence of equilibrium solution of the coagulation-fragmentation equation with linear fragmentation kernel. In: Mathematics and Computing (Eds.: Ghosh, D., Giri, D., Mohapatra, R.N., Sakurai, K., Savas, E., Som, T.), Springer Proceedings in Mathematics & Statistics 253, 2018, ISBN 978-981-13-2094-1

3. Kumar, J., Peglow, M., Heinrich, S., Warnecke, G., Tsotsas, E., Hounslow, M.J.: Numerical Methods for Solving Population Balances. In: Modern Drying Technology, Volume 1: Computational Tools at Different Scales (Eds.: Tsotsas, E.; Mujumdar, A.S.), WILEY-VCH, 2011, pages 57, ISBN 978-3-527-31556-7

2. Gokhale, Y.P., Kumar, J., Hintz W., Warnecke G., Tomas, J.: A Note on Sectional and Finite Volume Methods for Solving Population Balance Equations. In: Micro-Macro-Interactions in Structured Media and Particle Systems (Eds.: Bertram A., Tomas J.), Springer-Verlag Berlin Heidelberg, 2008, pages 11, ISBN 978-3-540-85714-3

1. Gokhale, Y.P., Kumar, J., Hintz W., Warnecke G., Tomas, J.: Population Balance Modelling for Agglomeration and Disintegration of Nanoparticles. In: Micro-Macro-Interactions in Structured Media and Particle Systems (Eds.: Bertram A., Tomas J.), Springer-Verlag Berlin Heidelberg, 2008, pages 11, ISBN 978-3-540-85714-3

3. Narni, N.R., Warnecke, G., Kumar, J., Peglow, M., Heinrich S.: Some modeling aspects of aggregation kernels and aggregation population balance equations. In: Mathew J., Patra P., Pradhan D.K., Kuttyamma A.J. (Eds) Eco-friendly Computing and Communication Systems(ICECCS 2012). Communications in Computer and Information Science, vol 305. Springer, Berlin, Heidelberg.

2. Singh, M., Kumar, J., Bueck, A.: A volume conserving discrete formulation of aggregation population balance equation on non-uniform meshes. IFAC-PapersOnLine 48 (2015), 192-197, 8th Vienna International Conference on Mathematical Modelling, MATHMOD 2015; Vienna; Austria, February 18-20, 2015

1. Kumar, J., Warnecke, G.: A numerical scheme for solving coagulation-fragmentation equations. AIP Conference Proceedings 1048 (2008), 931-934, International Conference on Numerical Analysis and Applied Mathematics, September 16-20, 2008, Kos, Greece

13. Kaur, G., Singh, M., Matsoukas, T., Kumar, J., Beer, T.D., Nopens, I.: Modeling and simulation of spray fluidized bed granulator. Proceedings of the 6th International Conference on Population Balance Modelling, 7-9th May 2018, Ghent, Belgium.

12. Saha, J., Kumar, J., Bueck, A., Tsotsas, E.: Finite Volume Approximations of Population Balance Equations. Proceedings of the 7th International Granulation Conference, 1.-3. July 2015, Sheffield/UK.

11. Hussain, M., Kumar, J., Tsotsas, E.: A new approach in population balance modeling of spray fluidized bed agglomeration. Proceedings of the 7th World Congress on Particle Technology,19-22nd May 2014, Beijing, China.

10. Hussain, M., Kumar, J., Peglow, M., Tsotsas, E.: Modeling the effect of influencing parameters in a spray fluidized bed granulation. Proceedings of the 5th International Conference on Population Balance Modelling, 11-13th September 2013, Bangalore, India.

9. Hussain, M., Kumar, J., Peglow, M., Tsotsas, E.: Simulating the spray fluidized bed granulation by modeling the aggregation efficiency. Proceedings of the 6th International Granulation Conference, 26-28th June 2013, Sheffield, U.K.

8. Hussain, M., Kumar, J., Peglow, M., Tsotsas, E.: Modeling the effect of process parameters in aggregation kernel of PBE using Monte-Carlo simulations. Proceedings of the 18th International Drying Symposium, 11-15th November 2012, Xiamen, China.

7. Hampel, R., Peglow, M., Kumar, J., Tsotsas, E., Heinrich, S.: Study of agglomeration kinetics in fluidized beds referring to the moisture content of particles. Proceedings of 3rd International Conference on Population Balance Modelling, September 19-21, 2007, Quebec City – Canada, 8 pages.

6. Narni, N.R., Warnecke, G., Kumar, J., Peglow, M., Heinrich, S.: Population balance modelling using discrete particle method. Workshop: Micro-macro interactions in structured media and particle systems, November 24-25, 2006, Helmstedt. Proceedings DFG-Graduiertenkolleg 828, Otto-von-Guericke University Magdeburg, Germany, 2006, 5 pages.

5. Peglow, M., Kumar, J., Tsotsas, E., Heinrich, S., Warnecke, G., Mörl, L.: A population balance modelling for simultaneous drying and agglomeration. Proceedings of the 15th International Drying Symposium (IDS’2006), Budapest, Hungary, August 20-23, 2006, 8 pages.

4. Link, J.M., Godlieb, W., Tripp, P., Deen, N.G., Heinrich, S., Peglow, M., Kumar, J., Kuipers, J.A.M., Schoenherr, M., Mörl, L.: Comparison of fibre optical measurements and discrete element simulations for the study of granulation in a spout fluidized bed. Proceedings of the 5th World Congress on Particle Technology, Orlando/Florida, USA, April 23-27, 2006, 8 pages, Fluidization and Multiphase Flow/Separations, Session 260 – Fundamentals of Fluidization and Fluid Particle Systems – IV.

3. Kumar, J., Peglow, M., Warnecke, G., Heinrich, S., Tsotsas, E., Mörl, L.: Numerical solutions of a two-dimensional population balance equation for aggregation. Proceedings of the 5th World Congress on Particle Technology, Orlando/Florida, USA, April 23-27, 2006, 10 pages, Particle Design: Formation and Processing, Session 155 – Modelling of Particle Formation Processes – I.

2. Peglow, M., Kumar, J., Heinrich, S., Tsotsas, E., Warnecke, G., Mörl, L.: A novel multi-dimensional population balance modelling incorporating particle size enlargement and drying behaviour for fluidized bed spray granulation. Proceedings of the 5th World Congress on Particle Technology, Orlando/Florida, USA, April 23-27, 2006, 10 pages, WCPT5 Tutorials, Session 70: Poster Session.

1. Peglow, M., Kumar, J., Mörl, L.: Investigation of coalescence kinetics of microcrystalline cellulose in fluidized bed spray agglomeration- experimental studies and modelling approach. Proceedings of the 14th International Drying Symposium (IDS 2004), Sao Paulo, Brazil, August 22-25, 2004, vol. A, pp. 485 – 492, ISBN 85-904573-1-1.

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  • Recipient of Outstanding Scientist Award in the 7th International Scientist Awards on Engineering, Science and Medicine by the VDGOOD Professional Association of Scientists, Engineers and Doctors (July 2020)

  • Recipient of Collaborative Research Grant from Alexander von Humboldt Foundation (Research Group Linkage Programme) for collaboration with the Hamburg University of Technology (2018-2023)

  • Received Top Teaching Feedback among the Teachers of IIT Kharagpur (Autumn 2016, Autumn 2017, Autumn 2018, Spring 2018, Spring 2019)

  • Guest Professor at the Institute of Particle Technology, Friedrich-Alexander University Erlangen-Nuremberg, Germany (May-June 2018)

  • Guest Professor at the Institute of Solids Process Engineering and Particle Technology, TU Hamburg (May-June 2017, May-July 2016)

  • Chaired a session at 7th International Granulation Conference, July 1-3, 2015, Sheffield, U.K.

  • Best Presentation Award at 3rd International Conference on Population Balance Modelling, September 19-21, 2007, Quebec City, Canada

  • Best Presentation Award at 2nd International Conference on Population Balance Modelling, May 5-7, 2004, Valencia, Spain

  • Gold Medal (Institute) for standing first in Class M.Sc.- IIT Roorkee (2001)

  • Ranked First in the M.Sc. Programme in Industrial Mathematics and Informatics, IIT Roorkee (2001)

  • Qualified Joint CSIR-UGC Junior Research Fellowship and Eligibility for Lectureship in Mathematics – National Eligibility Test (NET)-2001

  • Recipient of Alexander von Humboldt fellowship for Experienced Researchers (availed years – 2013, 2014, 2015, 2018)

  • Recipient of German Research Foundation Scholarship for Doctoral Studies, University of Magdeburg, Germany (2003-2006)

  • Recipient of Scholarship awarded by Technical University of Kaiserslautern and partly by DAAD, Germany (2001-2003)

  • Recipient of Merit Scholarship in M.Sc.-IIT Roorkee (1999-2001)

  • Life Member of Indian Mathematical Society, India

  • Life Member of Indian Society of Theoretical and Applied Mechanics, India

  • Life Member of Indian Society of Industrial and Applied Mathematics, India

Computational and Modelling Challenges in Simulating Particulate Systems. Virtual Seminar Series, Department of Mathematics and Statistics, University of the West Indies, St. Augustine, October 21, 2021.

Matrix Conditioning and Solution of System of Linear Equations. Online Workshop on Functional Aanalysis and Numerical Aanalysis, Department of Mathematics, NIT Tiruchirappalli, Tamil Nadu, April 05, 2021.

Fourier Transforms and Their Applications – II. AICTE sponsored online STTP on ‘Integral Transforms and Their Applications, Shri Vishnu Engineering College for Women, Bhimavaram, A.P., November 16, 2020.

Fourier Transforms and Their Applications – I. AICTE sponsored online STTP on ‘Integral Transforms and Their Applications, Shri Vishnu Engineering College for Women, Bhimavaram, A.P., October 26, 2020.

Recent Advances in Modelling and Numerical Simulation of Processes in Particle Technology. Faculty Development Program on Applied Mathematics and Related Fields, GLA University, Mathura, August 25, 2020.

Active learning: Mathematics in Engineering and Technology. TEQUIP-III Trainign Program on Advanced Pedagogy and Digital Tools for TEQIP Faculty, IIT Kharagpur, June 03, 2019.

Numerical Methods for Particulate Processes. Institute of Particle Technology, Friedrich-Alexander University Erlangen-Nuremberg, Germany, June 05, 2018.

Mathematical and Numerical Challenges in Particle Technology. Solids Process Engineering and Particle Technology, Hamburg University of Technology, Germany, June 19, 2018.

Mathematical and Numerical Challenges in Particle Technology. International Conference on Advances in Scientific Ccomputing, November 28 – 30, 2016, IIT Madras, Chennai, India.

Recent Advances in Numerical Methods for Solving Population Balance Equations. International conference on Recent Advances in Analysis and Numerics of Hyperbolic Conservation Laws, September 8- 10, 2016, Otto-von-Guericke University Magdeburg, Germany.

Analysis, modelling and simulation of particulate systems. International Conference on Mathematical Modelling and Computer Simulation, December 8-10, 2014, IIT Madras Chennai, India.

The cell average technique and other schemes for the computation of population balance equations in particulate systems. International Conference on Mathematical Modeling and Applications to Industrial Problems, March 28-31, 2011, National Institute of Technology Calicut, India.

Modeling of aggregation kernel using Monte Carlo simulations of spray fluidized bed agglomeration. Department of Mathematics, Otto-von-Guericke University Magdeburg, Germany, June 21, 2011.

Convergence analysis of sectional methods for solving population balance equation. Graduate School – Micro-Macro Interactions in Structured Media and Particle Systems, Otto-von-Guericke University Magdeburg, Germany, May 24, 2007.

Population balance modelling and studies for particle formation in fluidized bed spray granulation. Department of Chemical Engineering, University of Sheffield, United Kingdom, June 27, 2005.

Development of Ultrahigh-Repetition-Rate Soliton Light Sources Based on High-Quality Optical Waveguide Resonators
supported by DST (International Division)
Role: Co-Principal Investigator
Zonal Refinment Strategy to Expedite DEM Simulations of Fine powder flow
supported by Eli Lill and Company,Lilly Corporate Center, Indianapolis, Indiana
Role: Co-Principal Investigator
Uncertainty Quatification and Propagation of Population Models
supported by Science and Engineering Research Board, DST, Government of India
Role: Principal Investigator
Physics Embedded Approximations of Aggregation and Breakage Kernels for Population Balances
supported by the Federal Ministry of Education and Research, Germany
Role: Principal Investigator
From Discrete Particle to Population Balance Modelling: The Micro-Macro Transitions
supported by Science and Engineering Research Board, DST, Government of India
Role: Principal Investigator
Construction of Compact Difference Methods for Real World Singular Differential Equations
supported by National Project Implementation Unit, Ministry of Human Resource Development, Government of India
Role: Co-Principal Investigator
Dynamics of Nonlinear Optical Microactivities for On-Chip Quantum Photonic Applications
supported by Department of Science and Technology, Government of India
Role: Co-Principal Investigator
Theoretical Investigation on Turbulent Features and Concentration Distribution in an Open Channel Flow
supported by Science and Engineering Research Board, DST, Government of India
Role: Co-Principal Investigator
Modeling of Aggregation Kernels of Population Balance Equation for Fluidized Bed Granulation on the basis of Monte Carlo Simulations
supported by ISIRD, SRIC, IIT Kharagpur
Role: Principal Investigator

Ms. Priyanka

Research Scholar
Department of Mathematics
Indian Institute of Technology Kharagpur - 721302, West Bengal, India
Email : priyankasehrawat1994@gmai.com

Research Interests:

  • Uncertainty and Sensitivity Analysis
  • Mathematical Modelling of Particulate Systems

Ms. Niharika Mehra

Research Scholar
Department of Mathematics
Indian Institute of Technology Kharagpur - 721302, West Bengal, India
Email: niharikamehra08@gmail.com

Research Interests:

  • Discrete Elelement Modelling
  • Modelling and Simulation

Ms. Archita Karar

Research Scholar
Department of Mathematics
Indian Institute of Technology Kharagpur - 721302, West Bengal, India
Email: architarng@gmail.com

Research Interests:

  • Discrete Elelement Modelling
  • Population Balance Modelling

Dr. Jayanta Paul

Scientist Engineer
UR Rao Satallite Centre, Bengaluru
Indian Space Reserach Organization, Govenment of India
Email: jayantapaul272@gmail.com

Dr. Tarun De

Institute Post-Doctoral Fellow
Department of Chemical Engineering IIT Kanpur
Kanpur - 208016, India
Email: talk2tarunde@gmail.com

Dr. Ashok Das

Research Scholar
Department of Mathematics IIT Kharagpur
Kharagpur - 721302, India
Email: ashok.das434@gmail.com

Dr. Debdulal Ghosh

Assitant Professor
School of Applied Sciences
Kalinga Institute of Industrial Technology, Bhubaneswar-751024, Odisha, India
Email: debdulal.ghoshfma@kiit.ac.in

Dr. Shiv Mohan

Postdoctoral Researcher
Department of Mathematics,
National Taiwan University, Taiwan Taipei 10617, Taiwan
Email: shivmohan58@gmail.com

Dr. Gurmeet Kaur

Post-Doctoral Fellow (AvH)
TUM School of Life Sciences
Technical University of Munich 85354 Freising, Germany
Email: gurmeetiitkgp@gmail.com

Dr. Nilima Das

Assistant Professor
Department of Applied Science and Humanity
National Institute of Advanced Manufacturing Technology Bireshwarpur, West Bengal, 743345, India
Email: nilimadas1990@gmail.com

Dr. Jitraj Saha

Assistant Professor
Department of Mathematics
NIT Tiruchirappalli - 620 015, India
Email: jitraj@nitt.edu

Dr. Mehakpreet Singh

Assistant Professor
Department of Mathematics and Statistics
University of Limerick, V94 T9PX, Ireland
Email: singhmehakpreet@gmail.com

Dr. Randhir Singh

Assistant Professor
Department of Mathematics
BIT, Mesra Ranchi - 835215, India
Email: randhir.math@gmail.com

  • 1. Dr. Rajesh Kumar - Assistant Professor, BITS Pilani, Pilani Campus
  • 2. Dr. Ankik Kumar Giri - Associate Professor, IIT Roorkee
  • 3. Dr. Yashodhan P. Gokhale - Vice President, Octillion Power Systems India Pvt. Ltd. 
  • 4. Dr. Narni N. Rao - Lecturer, RGUKT, Gachibowli, Hyderabad 
    • 85th ANNUAL CONFERENCE OF INDIAN MATHEMATICAL SOCIETY
      Role: Co-Convenor
      Participants: 250
      Date: November 22 – 25, 2019
      Venue: Department of Mathematics, IIT Kharagpur
    • INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS AND COMPUTATION
      Role: Co-Convenor
      Participants: 160
      Date: November 23 – 25, 2018
      Venue: Department of Mathematics, IIT Kharagpur
    • INTERNATIONAL CONFERENCE ON POPULATION BALANCE MODELLING
      Role: Co-Chair
      Participants: 150
      Date: May 07-09, 2018
      Venue: Ghent University, Belgium
    • REGIONAL SYMPOSIUM ON MATHEMATICS
      Role: Secretary
      Participants: 150
      Date: January 15 – 17, 2010
      Venue: Department of Mathematics, IIT Kharagpur
    • FOURIER SERIES, TRANSFORM TECHNIQUES AND THEIR APPLICATIONS
      Role: Coordinator
      Participants: 23
      Date: February 25 – March 01, 2019
      Venue: Department of Mathematics, IIT Kharagpur
    • DIFFERENTIAL EQUATIONS – THEORY, COMPUTATION AND APPLICATIONS
      Role: Co-Coordinator
      Participants: 46
      Date: February 27-March 03, 2017
      Venue: Department of Mathematics, IIT Kharagpur
    • NUMERICAL APPROXIMATIONS OF POPULATIONS BALANCE EQUATIONS
      Role: Coordinator
      Participants: 35
      Date: June 25 – July 2, 2010
      Venue: Otto-von-Guericke-University Magdeburg, Germany
    • PIC, Ranking & IoE (Aug 2021 – to Date)
    • Warden – AZAD Hall of Residence (Jan 2021 – to Date)
    • Institute Coordinator – Online Induction Program 2020
    • SPOC, Smart India Hackathon – 2020
    • Member, Organizing Team, Convocation – 2016, 2018, 2019 & 2021
    • Member, Organizing Committee, 54th Inter-IIT Sports Meet 2019
    • Chaiman, Techno-Management Fest IIT Kharagpur (Kshitij) – 2018 & 2019
    • Co-Chaiman, Techno-Management Fest IIT Kharagpur (Kshitij) – 2017
    • Member, Organizing Team, Spring Fest – 2017, 2018, 2019
    • Rector’s Nominee (Technology) – Technology Students’ Gymkhana (2014 – 2017).
    • Assistant Warden – MS Hall of Residence (2011 – 2013)
    • Research Scholars Coordinator (2019 – to date)
    • Faculty Advisor – Integrated M.Sc.-Ph.D. Students (2017-2019)
    • In-Charge, Training and Placement (2015 – 2019)
    • Research Scholar Coordinator, Co-Incharge (2015 – 2018)
    • Secretary, 1st Year Curriculum Revision Committee (2016 – 17)
    • Course Coordinator of Several Core Courses (Mathematics-I & II, Numerical Solutions of ODE & PDE, Advanced Numerical Analysis, Preparatory Mathematics-I)
    • Member, Departmental Time Table Committee (2010 – 2012)
    • Departmental ERP Representative (2010 – 2012)
    • Departmental Computer Laboratory, Co-Incharge (2010 – 2012)
    • Member, Departmental Academic Committee (UG, PG & R)
  • Academic Editor – International Journal of Chemical Engineering
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