Research output per year
Research output per year
Personal profile
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.
Teaching Interests
Numerical Analysis; Calculus; Engineering Mathematics
Biography
MSc in Mathematics, Guru Nanak Dev University Amritsar (2008).
PhD (Applied 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 and July 2022)
3. Postdoctoral fellow, Synthesis and Solid State Pharmaceutical Centre, University of Limerick, Ireland (Nov 2021 to Jan 2022)
4. Research fellow, Marie Skodowska 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 2019)
6. Visiting researcher, University of Limerick, Ireland (Jan 2018 to April 2018)
7. Postdoctoral fellow, Ghent University, Belgium (Jan 2016 to Dec 2017)
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
Related documents
Education/Academic qualification
PhD, Forward and Inverse Problems in Population Balances, Indian Institute of Technology Kharagpur
29 Dec 2009 → 23 Oct 2015
Award Date: 23 Oct 2015
Masters, Guru Nanak Dev University
17 Jun 2006 → 20 Jun 2006
Award Date: 20 Jun 2008
Bachelor, Khalsa College Amritsar
15 May 2003 → 15 May 2006
Award Date: 15 May 2006
Keywords
- TP Chemical technology
- Population balance models
- CFD
- DEM
- Numerical analysis
- Analytical solutions
- Integro-partial differenital equations
- Singular value problems
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Collaborations and top research areas from the last five years
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Highly efficient optimal decomposition approach and its mathematical analysis for solving fourth-order Lane–Emden–Fowler equations
Singh, R., Guleria, V., Ramos, H. & Singh, M., 1 Mar 2025, In: Journal of Computational and Applied Mathematics. 456, 116238.Research output: Contribution to journal › Article › peer-review
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Advanced numerical scheme and its convergence analysis for a class of two-point singular boundary value problems
Sriwastav, N., Barnwal, A. K., Ramos, H., Agarwal, R. P. & Singh, M., Feb 2024, In: Mathematics and Computers in Simulation. 216, p. 30-48 19 p.Research output: Contribution to journal › Article › peer-review
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An efficient approach to obtain analytical solution of nonlinear particle aggregation equation for longer time domains
Yadav, N., Singh, M., Singh, S., Singh, R., Kumar, J. & Heinrich, S., Mar 2024, In: Advanced Powder Technology. 35, 3, 104370.Research output: Contribution to journal › Article › peer-review
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An opportunity for streamlined computational fluid dynamics integration via a semi-analytical method for weighted finite volume fragmentation equations
Yadav, S., Wadhwa, D., Singh, M. & Kumar, J., 1 Dec 2024, In: Physics of Fluids. 36, 12, 123322.Research output: Contribution to journal › Article › peer-review
Open Access -
Coupled approach and its convergence analysis for aggregation and breakage models: Study of extended temporal behaviour
Yadav, S., Das, A., Singh, S., Tomar, S., Singh, R. & Singh, M., 15 Apr 2024, In: Powder Technology. 439, 119714.Research output: Contribution to journal › Article › peer-review
Open Access