Dr. Mehakpreet Singh
Biography
M.Sc. in Mathematics, Guru Nanak Dev University Amritsar (2008).Ph.D. (Mathematics), Indian Institute of Technology Kharagpur (2015).
Experience
1. Assistant Professor, Department of Mathematics and Statistics. University of Limerick, Ireland
2. Postdoctoral fellow, Dairy Processing Technology Centre, University of Limerick, Ireland (Feb 2022 to July 2022)
3. Postdoctoral fellow, Synthesis and Solid State Pharmaceutical Centre, University of Limerick, Ireland (Nov 2021 to Jan 2022)
4. Research fellow, Marie Skłodowska Curie Individual Fellowship, University of Limerick, Ireland (May 2019 to Oct 2021)
5. Postdoctoral fellow, Pharmaceutical Manufacturing Technology Centre, University of Limerick, Ireland (May 2018 to April 2018)
6. Visiting researcher, University of Limerick, Ireland (Jan 2018 to April 2018)
7. Postdoctoral fellow, Ghent University, Belgium (Jan 2016 to Dec 2017)
Research Interests
I focus on developing mechanistic models specifically designed for the dairy and pharmaceutical industries. My approach involves utilizing a blend of artificial neural networks (ANN), the Monte Carlo method, Discrete Element methods, CFD and the population balance approach. In addition, I actively contribute to the advancement of numerical techniques to tackle integro-partial differential equations, particularly those related to population balance equations, and conduct thorough convergence analyses. Moreover, I am passionate about delving into approximate, semi-analytical, and analytical solutions for both linear and nonlinear differential and integro-partial differential equations in my research pursuits.Peer Reviewed Journals
NEW APPROACH BASED ON COLLOCATION AND SHIFTED CHEBYSHEV POLYNOMIALS FOR A CLASS OF THREE-POINT SINGULAR BVPS
Sriwastav N.;Barnwal A.K.;Ramos H.;Agarwal R.P.;Singh M. (2023) NEW APPROACH BASED ON COLLOCATION AND SHIFTED CHEBYSHEV POLYNOMIALS FOR A CLASS OF THREE-POINT SINGULAR BVPS. Journal Of Applied Analysis And Computation :2162-2183
A Note on the Volume Conserving Solution to Simultaneous Aggregation and Collisional Breakage Equation
Kharchandy F.W.V.;Das A.;Thota V.;Saha J.;Singh M. (2023) A Note on the Volume Conserving Solution to Simultaneous Aggregation and Collisional Breakage Equation. Axioms
A note on homotopy perturbation approach for nonlinear coagulation equation to improve series solutions for longer times
Yadav N.;Singh M.;Singh S.;Singh R.;Kumar J. (2023) A note on homotopy perturbation approach for nonlinear coagulation equation to improve series solutions for longer times. Chaos Solitons & Fractals
Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework
De T.;Das A.;Singh M.;Kumar J. (2023) Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework. Computer Methods In Applied Mechanics And Engineering
Rate of convergence of two moments consistent finite volume scheme for non-classical divergence coagulation equation
Singh M. (2023) Rate of convergence of two moments consistent finite volume scheme for non-classical divergence coagulation equation. Applied Numerical Mathematics :120-137
Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation
Saha J.;Singh M. (2023) Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation. Numerische Mathematik :531-555
An efficient technique based on Green's function for solving two-point boundary value problems and its convergence analysis
Tomar S.;Dhama S.;Ramos H.;Singh M. (2023) An efficient technique based on Green's function for solving two-point boundary value problems and its convergence analysis. Mathematics And Computers In Simulation :408-423
A novel numerical approach and stability analysis for a class of pantograph delay differential equation
Sriwastav N.;Barnwal A.K.;Wazwaz A.M.;Singh M. (2023) A novel numerical approach and stability analysis for a class of pantograph delay differential equation. Journal Of Computational Science
Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier
Tomar, S;Singh, M;Vajravelu, K;Ramos, H (2023) Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier. AMSTERDAM : ELSEVIER Mathematics And Computers In Simulation :640-644
BERNSTEIN OPERATIONAL MATRIX OF DIFFERENTIATION AND COLLOCATION APPROACH FOR A CLASS OF THREE-POINT SINGULAR BVPS: ERROR ESTIMATE AND CONVERGENCE ANALYSIS
Sriwastav N.;Barnwal A.K.;Wazwaz A.M.;Singh M. (2023) BERNSTEIN OPERATIONAL MATRIX OF DIFFERENTIATION AND COLLOCATION APPROACH FOR A CLASS OF THREE-POINT SINGULAR BVPS: ERROR ESTIMATE AND CONVERGENCE ANALYSIS. Opuscula Mathematica :575-601
Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier
Tomar S.;Singh M.;Vajravelu K.;Ramos H. (2023) Simplifying the variational iteration method: A new approach to obtain the Lagrange multiplier. Mathematics And Computers In Simulation :640-644
New formulations and convergence analysis for reduced tracer mass fragmentation model: an application to depolymerization
Singh M.;Walker G.;Randade V. (2022) New formulations and convergence analysis for reduced tracer mass fragmentation model: an application to depolymerization. Esaim: Mathematical Modelling And Numerical Analysis :943-967
An optimal decomposition method for analytical and numerical solution of third-order Emden–Fowler type equations
Singh R.;Singh M. (2022) An optimal decomposition method for analytical and numerical solution of third-order Emden–Fowler type equations. Journal Of Computational Science
Discrete finite volume formulation for multidimensional fragmentation equation and its convergence analysis
Singh M.;Matsoukas T.;Ranade V.;Walker G. (2022) Discrete finite volume formulation for multidimensional fragmentation equation and its convergence analysis. Journal Of Computational Physics
Challenges and opportunities in modelling wet granulation in pharmaceutical industry – A critical review
Singh M.;Shirazian S.;Ranade V.;Walker G.M.;Kumar A. (2022) Challenges and opportunities in modelling wet granulation in pharmaceutical industry – A critical review. Powder Technology
Convergence analysis of volume preserving scheme for mass based coalescence equation
Singh M.;Nayak R.K.;Walker G. (2022) Convergence analysis of volume preserving scheme for mass based coalescence equation. Applied Numerical Mathematics :365-379
Finite volume approach for fragmentation equation and its mathematical analysis
Singh, M;Walker, G (2022) Finite volume approach for fragmentation equation and its mathematical analysis. DORDRECHT : SPRINGER Numerical Algorithms :465-486
Two moments consistent discrete formulation for binary breakage population balance equation and its convergence
Singh, M;Matsoukas, T;Walker, G (2021) Two moments consistent discrete formulation for binary breakage population balance equation and its convergence. AMSTERDAM : ELSEVIER Applied Numerical Mathematics :76-91
Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation
Singh, M (2021) Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation. SAN DIEGO : ACADEMIC PRESS INC ELSEVIER SCIENCE Journal Of Computational Physics
New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids
Singh, M (2021) New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids. HOBOKEN : WILEY Studies In Applied Mathematics :955-977
Comprehensive modelling of pharmaceutical solvation energy in different solvents
Panwar, A;Shirazian, S;Singh, M;Walker, GM (2021) Comprehensive modelling of pharmaceutical solvation energy in different solvents. AMSTERDAM : ELSEVIER Journal Of Molecular Liquids
Haar wavelet quasilinearization method for numerical solution of Emden–Fowler type equations
Singh R.;Guleria V.;Singh M. (2020) Haar wavelet quasilinearization method for numerical solution of Emden–Fowler type equations. Mathematics And Computers In Simulation :123-133
Discrete finite volume approach for multidimensional agglomeration population balance equation on unstructured grid
Singh M.;Singh R.;Singh S.;Walker G.;Matsoukas T. (2020) Discrete finite volume approach for multidimensional agglomeration population balance equation on unstructured grid. Powder Technology :229-240
Characterization of Simultaneous Evolution of Size and Composition Distributions Using Generalized Aggregation Population Balance Equation.
Singh M;Kumar A;Shirazian S;Ranade V;Walker G; (2020) Characterization of Simultaneous Evolution of Size and Composition Distributions Using Generalized Aggregation Population Balance Equation.. Pharmaceutics
Development of high-performance hybrid ANN-finite volume scheme (ANN-FVS) for simulation of pharmaceutical continuous granulation
Ismail H.Y.;Singh M.;Shirazian S.;Albadarin A.B.;Walker G.M. (2020) Development of high-performance hybrid ANN-finite volume scheme (ANN-FVS) for simulation of pharmaceutical continuous granulation. Chemical Engineering Research & Design :320-326
Finite volume approximation of multidimensional aggregation population balance equation on triangular grid
Singh M.;Singh R.;Singh S.;Singh G.;Walker G. (2020) Finite volume approximation of multidimensional aggregation population balance equation on triangular grid. Mathematics And Computers In Simulation
On the use of sectional techniques for the solution of depolymerization population balances: Results on a discrete-continuous mesh
Ahamed F.;Singh M.;Song H.S.;Doshi P.;Ooi C.W.;Ho Y.K. (2020) On the use of sectional techniques for the solution of depolymerization population balances: Results on a discrete-continuous mesh. Advanced Powder Technology
Complete two dimensional population balance modelling of wet granulation in twin screw.
Ismail HY;Singh M;Albadarin AB;Walker GM; (2020) Complete two dimensional population balance modelling of wet granulation in twin screw.. International journal of pharmaceutics
Effect of different discretizations on the numerical solution of 2D aggregation population balance equation
Singh, M;Vuik, K;Kaur, G;Bart, HJ (2019) Effect of different discretizations on the numerical solution of 2D aggregation population balance equation. AMSTERDAM : ELSEVIER SCIENCE BV Powder Technology :972-984
Multi-dimensional population balance modelling of pharmaceutical formulations for continuous twin-screw wet granulation: Determination of liquid distribution
Shirazian S.;Ismail H.;Singh M.;Shaikh R.;Croker D.;Walker G. (2019) Multi-dimensional population balance modelling of pharmaceutical formulations for continuous twin-screw wet granulation: Determination of liquid distribution. International journal of pharmaceutics :352-360
Finite volume approximation of nonlinear agglomeration population balance equation on triangular grid
Singh M.;Ismail H.;Singh R.;Albadarin A.;Walker G. (2019) Finite volume approximation of nonlinear agglomeration population balance equation on triangular grid. Journal Of Aerosol Science
Developing ANN-Kriging hybrid model based on process parameters for prediction of mean residence time distribution in twin-screw wet granulation
Ismail H.;Singh M.;Darwish S.;Kuhs M.;Shirazian S.;Croker D.;Khraisheh M.;Albadarin A.;Walker G. (2019) Developing ANN-Kriging hybrid model based on process parameters for prediction of mean residence time distribution in twin-screw wet granulation. Powder Technology :568-577
Analytical approach for solving population balances: A homotopy perturbation method
Kaur G.;Singh R.;Singh M.;Kumar J.;Matsoukas T. (2019) Analytical approach for solving population balances: A homotopy perturbation method. Journal Of Physics A-Mathematical And Theoretical
Mass-based finite volume scheme for aggregation, growth and nucleation population balance equation
Singh M.;Ismail H.;Matsoukas T.;Albadarin A.;Walker G. (2019) Mass-based finite volume scheme for aggregation, growth and nucleation population balance equation. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences
Compartmental approach for modelling twin-screw granulation using population balances
Ismail H.;Shirazian S.;Singh M.;Whitaker D.;Albadarin A.;Walker G. (2019) Compartmental approach for modelling twin-screw granulation using population balances. International journal of pharmaceutics
New volume consistent approximation for binary breakage Population Balance Equation and its convergence analysis
Singh, M;Matsoukas, T;Albadarin, AB;Walker, G (2019) New volume consistent approximation for binary breakage Population Balance Equation and its convergence analysis. LES ULIS CEDEX A : EDP SCIENCES S A Esaim: Mathematical Modelling And Numerical Analysis :1695-1713
Convergence analysis of finite volume scheme for nonlinear aggregation population balance equation
Singh M.;Kaur G. (2019) Convergence analysis of finite volume scheme for nonlinear aggregation population balance equation. Mathematical Methods In The Applied Sciences :3236-3254
Mathematical analysis of finite volume preserving scheme for nonlinear Smoluchowski equation
Singh M.;Matsoukas T.;Walker G. (2019) Mathematical analysis of finite volume preserving scheme for nonlinear Smoluchowski equation. Physica D-Nonlinear Phenomena
Mathematical Modelling and Simulation of a Spray Fluidized Bed Granulator
Kaur, G;Singh, M;Kumar, J;De Beer, T;Nopens, I (2018) Mathematical Modelling and Simulation of a Spray Fluidized Bed Granulator. BASEL : MDPI Processes
Books
Book Chapters
Edited Books
Other Journals
Conference Publications
Mathematical Methods in the Applied Sciences
Pathak P.;Barnwal A.K.;Sriwastav N.;Singh R.;Singh M. (2023) Mathematical Methods in the Applied Sciences. Mathematical Methods In The Applied Sciences
Mathematical Methods in the Applied Sciences
Tomar S.;Singh M.;Ramos H.;Wazwaz A.M. (2022) Mathematical Methods in the Applied Sciences. Mathematical Methods In The Applied Sciences
CHEMICAL ENGINEERING RESEARCH & DESIGN
Ismail, HY;Singh, M;Shirazian, S;Albadarin, AB;Walker, GM (2020) CHEMICAL ENGINEERING RESEARCH & DESIGN. AMSTERDAM : ELSEVIER Chemical Engineering Research & Design :320-326
Conference Contributions
Published Reports
Editorials
Reply to Comment on 'Analytical approach for solving population balances: a homotopy perturbation method' (2019) J. Phys. A: Math. Theor. 52 385201
Kaur, G;Singh, R;Singh, M;Kumar, J;Matsoukas, T (2020) Reply to Comment on 'Analytical approach for solving population balances: a homotopy perturbation method' (2019) J. Phys. A: Math. Theor. 52 385201. BRISTOL : IOP PUBLISHING LTD Journal Of Physics A-Mathematical And Theoretical
Book Reviews
Other Publications
Challenges and opportunities concerning numerical solutions for population balances: a critical review
Singh M.;Ranade V.;Shardt O.;Matsoukas T. (2022) Challenges and opportunities concerning numerical solutions for population balances: a critical review. Journal Of Physics A-Mathematical And Theoretical
Challenges and opportunities in modelling wet granulation in pharmaceutical industry-A critical review
Singh, M;Shirazian, S;Ranade, V;Walker, GM;Kumar, A (2022) Challenges and opportunities in modelling wet granulation in pharmaceutical industry-A critical review. AMSTERDAM : ELSEVIER Powder Technology
Reply to Comment on 'Analytical approach for solving population balances: a homotopy perturbation method' (2019) J. Phys. A: Math. Theor. 52 385201
Kaur, G;Singh, R;Singh, M;Kumar, J;Matsoukas, T (2020) Reply to Comment on 'Analytical approach for solving population balances: a homotopy perturbation method' (2019) J. Phys. A: Math. Theor. 52 385201. BRISTOL : IOP PUBLISHING LTD Journal Of Physics A-Mathematical And Theoretical