MOMENT PRESERVING FINITE VOLUME SCHEMES FOR SOLVING POPULATION BALANCE EQUATIONS INCORPORATING AGGREGATION, BREAKAGE, GROWTH AND SOURCE TERMS. R Kumar, J Kumar, G Warnecke Mathematical Models & Methods in Applied Sciences 23 (7), 2013 | 54 | 2013 |
Numerical simulation and convergence analysis of a finite volume scheme for solving general breakage population balance equations R Kumar, J Kumar Applied Mathematics and Computation 219 (10), 5140-5151, 2013 | 42 | 2013 |
Numerical methods for solving two-dimensional aggregation population balance equations R Kumar, J Kumar, G Warnecke Computers & chemical engineering 35 (6), 999-1009, 2011 | 35 | 2011 |
Comparison of variational iteration and Adomian decomposition methods to solve growth, aggregation and aggregation-breakage equations G Arora, S Hussain, R Kumar Journal of Computational Science 67, 101973, 2023 | 30 | 2023 |
Disintegration process of surface stabilized sol–gel TiO2 nanoparticles by population balances YP Gokhale, R Kumar, J Kumar, W Hintz, G Warnecke, J Tomas Chemical Engineering Science 64 (24), 5302-5307, 2009 | 29 | 2009 |
Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations R Kumar, J Kumar, G Warnecke Kinetic and Related Models 7 (4), 713-737, 2014 | 26 | 2014 |
Semi-analytical methods for solving non-linear differential equations: a review S Hussain, G Arora, R Kumar Journal of Mathematical Analysis and Applications 531 (1), 127821, 2024 | 19 | 2024 |
A novel optimized decomposition method for Smoluchowski’s aggregation equation S Kaushik, R Kumar Journal of Computational and Applied Mathematics 419, 114710, 2023 | 19 | 2023 |
Low-rank tensor approximation for high-order correlation functions of Gaussian random fields D Kressner, R Kumar, F Nobile, C Tobler SIAM/ASA Journal on Uncertainty Quantification 3 (1), 393-416, 2015 | 18 | 2015 |
Laplace transform‐based approximation methods for solving pure aggregation and breakage equations S Kaushik, S Hussain, R Kumar Mathematical Methods in the Applied Sciences 46 (16), 17402-17421, 2023 | 17 | 2023 |
Homotopy perturbation and adomian decomposition methods for condensing coagulation and Lifshitz-Slyzov models G Arora, R Kumar, Y Mammeri GEM-International Journal on Geomathematics 14 (1), 4, 2023 | 12 | 2023 |
Investigation on agglomeration kinetics of acetaminophen using fluidized bed wet granulation S Pathi, R Kumar, VK Surasani Asia‐Pacific Journal of Chemical Engineering 15 (2), e2416, 2020 | 10 | 2020 |
An efficient semi-analytical technique to solve multi-dimensional Burgers’ equation S Hussain, G Arora, R Kumar Computational and Applied Mathematics 43 (1), 11, 2024 | 7 | 2024 |
Numerical analysis of finite volume schemes for population balance equations R Kumar Docupoint Wissenschaft, Magdeburg, Germany, ISBN-978-3869121055, 2012 | 7 | 2012 |
Convergence and error estimation of weighted finite volume scheme for coagulation‐fragmentation equation SK Bariwal, R Kumar Numerical Methods for Partial Differential Equations 39 (3), 2561-2583, 2023 | 6 | 2023 |
Optimized decomposition method for solving multi-dimensional burgers’ equation S Kaushik, R Kumar Mathematics and Computers in Simulation 208, 326-350, 2023 | 5 | 2023 |
Existence, Uniqueness and Mass Conservation for Safronov-Dubovski Coagulation Equation S Kaushik, R Kumar Acta Applicandae Mathematicae 179 (1), 10, 2022 | 4 | 2022 |
Theoretical analysis of a discrete population balance model with sum kernel S Kaushik, R Kumar, FP da Costa Portugaliae Mathematica 80 (3), 343-367, 2023 | 3 | 2023 |
Elzaki Transform Based Accelerated Homotopy Perturbation Method for Multi-dimensional Smoluchowski's Coagulation and Coupled Coagulation-fragmentation Equations G Arora, R Kumar, Y Mammeri arXiv preprint arXiv:2301.03215, 2023 | 3 | 2023 |
Steady-state solution for discrete Oort-Hulst-Safronov coagulation equation S Kaushik, R Kumar International Journal of Dynamical Systems and Differential Equations 13 (2 …, 2023 | 3 | 2023 |