Dr. Vivek Kumar Aggarwal
Associate Professor, Department of Applied Mathematics
Delhi Technological University, Delhi, India
About
Dr. Vivek Kumar Aggarwal is an Associate Professor at the Department of Applied Mathematics, Delhi Technological University. He received his master’s degree from IIT Roorkee and his doctorate in Mathematics from IIT Kanpur. He has published more than 50 research papers in national and international journals and conferences, and has guided 7 PhD students (6 single, 1 joint) while currently supervising 5.
He has been supported by the Government of India to attend ICIAM 2007 (Zurich), 2011 (Vancouver), 2015 (Beijing) and 2019 (Valencia), and received full funding from the Government of Brazil to attend ICM 2018 in Rio de Janeiro. He held a visiting position at Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany (June–Sept. 2017, June–July 2019). He is a member of SIAM and a life member of ISIAM.
Education
- PhD, Mathematics: IIT Kanpur
- M.Sc.: IIT Roorkee
Memberships
- Society for Industrial and Applied Mathematics (SIAM)
- Indian Society of Industrial and Applied Mathematics (ISIAM), life member
Research
Singularly perturbed problems
Adaptive and layer-adapted meshes, finite element, wavelet and collocation methods for convection–diffusion and reaction–diffusion problems, including problems on metric graphs.Hyperbolic conservation laws
High-resolution schemes, flux limiters and fuzzy-logic based reconstructions for nonlinear hyperbolic problems.Mathematical modelling
Prey–predator and eco-epidemiological systems: stability, delay, migration, refuge, pest control, and physics-informed neural networks.Scientific computing
Numerical analysis of ODEs and PDEs, spline and wavelet methods, and learning PDEs from data.PhD supervision
Completed: 7 (6 single, 1 joint). Pursuing: 5.
News & Updates
- 2025Four new journal papers published, including SWARMESH in Swarm and Evolutionary Computation and work in Physica Scripta and ZAMM; book chapter on hybrid high-resolution techniques published by Elsevier.
- 2024Received the DTU Research Award (also in 2022 and 2023).
- 2023Paper with G. Leugering on convection dominated singularly perturbed problems on a metric graph published in J. Comput. Appl. Math.
- 2019Attended ICIAM 2019, Valencia, with Government of India funding; visiting position at FAU Erlangen-Nürnberg (June–July); organising member of the 4th International Conference on Differential Equations at SAU Delhi (Jan.).
- 2018Attended ICM 2018, Rio de Janeiro, with full funding from the Government of Brazil.
Teaching
B.Tech
- AM101 Mathematics-I
- AM102 Mathematics-II
- MC204 Scientific Computing
- MC208 Linear Algebra
- MC205 Probability and Statistics
- MC3XX Matrix Computation
- MCxxx Mathematical Modelling and Simulation
M.Sc. Mathematics
- MSMA 105 Ordinary Differential Equations
- MSMA 110 Numerical Analysis
Also designed the syllabi for the four-year B.Tech programme in Mathematics & Computing at DTU.
Students & Collaborators
PhD supervision
- Completed: 7 (6 single, 1 joint supervision)
- Currently supervising: 5
Research areas: singular perturbation problems, hyperbolic conservation laws, and prey–predator modelling.
Recent co-authors
Aneesh Panchal, Kirti Beniwal, Nitin Kumar, Sudhakar Yadav, Kartikay Khari, Ruchika Lochab, Charu Arora, Shashi Kant, Deepti Kaur
Academic collaborators
G. Leugering (FAU Erlangen-Nürnberg), Mani Mehra, S. Balaji, S. V. Raghurama Rao
Publications
Journal publications (last 10 years and selected earlier work). Type to filter by title, author, journal or year.
Books & Book Chapters
- R. Lochab, V. Kumar, “Hybrid high-resolution technique for numerically computing hyperbolic conservation laws,” Methods of Mathematical Modeling, Elsevier, 2025.
- D. Kaur, V. Kumar, “Numerical solution with special layer adapted meshes for singularly perturbed boundary value problems,” Applied Mathematical Analysis: Theory, Methods, and Applications, Springer, 2019.
- S. Kant, V. Kumar, “Analysis of an eco-epidemiological model with migrating and refuging prey,” Mathematical Analysis and its Applications, Springer Proc. Math. Stat. 143, 2015, 17–36.
- S. Kant, V. Kumar, “The control for prey-predator system with time delay and refuge,” Mathematics and Computing, Springer Proc. Math. Stat. 139, 2015, 339–348.
- S. Kant, V. Kumar, “Global dynamics of an eco-epidemiological model,” ANDC 2014, Elsevier, 2015, 172–179.
- S. Kant, V. Kumar, “A stage-structured eco-epidemiological model with refuge,” ICMACS 2015, Narosa, 80–85.
- S. Kant, V. Kumar, “Delayed prey-predator system with habitat complexity and refuge,” ICMS 2014, Elsevier, 584–591.
Sponsored Projects
- NBHM: Convection dominant diffusion problems: numerical computations of adaptive meshes and error estimations (2016–2019, completed).
- DST-SERB Fast Track (Young Scientist): Development of numerical techniques for hyperbolic conservation laws and boundary layer problems (2009–2012, completed).
Consultancy: Indira Gandhi National Open University (IGNOU), New Delhi.
Talks & Professional Development
Invited talks and resource-person roles
- Invited talk, Ramanujan College, University of Delhi (Jan. 2019)
- Resource person, DBT-Star College workshop on Numerical Methods, Deen Dayal Upadhyaya College (Sept. 2018)
- Invited talk, Shyama Prasad Mukherji College for Women (Sept. 2018)
- Resource person, DEMMA workshop, Deshbandhu College, University of Delhi (July 2018)
- Invited talk, ARSD College, University of Delhi (Feb. 2018)
- “A novel adaptive approach for solving singularly perturbed problems,” FAU Erlangen-Nürnberg (July 2017)
- Faculty Development Program on Continuum Mechanics, JIIT Noida (July 2016)
- Invited talk, Intl. Conf. on Current Trends in PDEs: Theory and Computations, SAU New Delhi (Dec. 2015)
- Resource person, Computational Techniques for Differential Equations with MATLAB, IIT Roorkee (July 2015)
- Resource person, NPDE, LNMIIT Jaipur (June 2015)
- Earlier talks at University of Toronto (2005), University of Guelph (2005), and TIFR Centre, IISc Bangalore (2006)
Conferences attended and organised
- Organising member, 4th Intl. Conf. on Recent Advances in Theory, Computation and Application of Differential Equations, SAU Delhi (Jan. 2019)
- ICMMC-2018, South Asian University, New Delhi
- ICM 2018, Rio de Janeiro, Brazil
- VII PDE, Optimal Design and Numerics, Benasque, Spain (2017)
- ICCS 2017, ETH Zurich
- ICIAM 2015 (Beijing), 2011 (Vancouver), 2007 (Zurich)
- Modelling 2014, Czech Republic
- CIRM Marseille, France (2008), funded by the French Embassy
- WAVE 2006 (EPFL, Lausanne) and SCA 2006 (Alberta, Canada)
Honours & Awards
- DTU Research Award, 2022, 2023 and 2024
- Full funding from the Government of Brazil to attend ICM 2018, Rio de Janeiro
- Visiting position, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany (2017)
- NBHM support to attend ICIAM 2007, 2011 and 2015
- Indo-French sandwich postdoctoral fellowship 2008, ENS Paris
- Qualified GATE 2000 and joint CSIR-UGC NET 2000
- Winner, mathematical quizzes at IIT Roorkee (1999, 2000)
- At IIT Kanpur: member of DPGC (2002–03), assistant coordinator of Counselling Service and Senator, Student Gymkhana (2003–04)
Gallery
Contact
Office
Department of Applied MathematicsDelhi Technological University
Shahbad Daulatpur, Main Bawana Road, Delhi
Email & Phone
vivekaggarwal@dtu.ac.invivekkumar.ag@gmail.com
Mobile: 9873767221
Office: 011-27873050
See also the official DTU faculty profile.