Aekta Aggarwal
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Dr. Aekta Aggarwal is an Associate Professor in Operations Management and Quantitative Techniques at the Indian Institute of Management Indore, where she has been a faculty member since 2015. With a Ph.D. in Mathematics from the Tata Institute of Fundamental Research, she specializes in Applied Mathematics. Dr. Aggarwal also holds an M.Sc. in Applied Mathematics from TIFR Bangalore and a B.A. (Honors) in Mathematics from Lady Shri Ram College for Women, University of Delhi.
In 2015, she pursued postdoctoral research with OPALE, INRIA in Sophia Antipolis, France, focusing on mathematical models for pedestrian and traffic flow, including crowd management. Her research expertise extends to developing numerical algorithms for partial differential equations, and the application of non-local hyperbolic conservation laws to fields such as crowd dynamics, traffic flow, opinion dynamics, and supply chain management.
Dr. Aggarwal has a strong research background, co-authoring numerous A/A* publications, securing grants for conferences and international collaborations, and serving as a visiting researcher at institutions like NTNU (Norway), Brown University (USA), Penn State University (USA), University of Maryland (USA), University of Bio-Bio (Chile), and University of Würzburg (Germany).
In addition to her research, Dr. Aggarwal is actively involved in the administration at IIM Indore, serving on various committees. She teaches applied mathematics courses across multiple programs, focusing on the mathematical foundations of business and workplace applications. Her interests also extend to exploring and teaching Quantum Computing for Business and Technology.
Publications:
2015 (A.Aggarwal, R.M.Colombo and P.Goatin).Nonlocal systems of conservation laws in several space dimensions.SIAM Journal on Numerical Analysis, 53(2), 963-983.https://doi.org/10.1137/140975255
A* in AMS/SJR
2016 (A.Aggarwal and P.Goatin).Crowd dynamics through non-local conservation laws.Bulletin of the Brazilian
Mathematical Society, New Series, 47(1), 37-50.
https://doi.org/10.1007/s00574-016-0120-7
B in SJR
2016 (A.Adimurthi, A.Aggarwal and G.D.Veerappa Gowda).Godunov-type numerical methods for a model of
granular flow.Journal of Computational Physics, 305, 1083-1118.
https://doi.org/10.1016/j.jcp.2015.09.036
A* in AMS/SJR
2016 (A.Adimurthi, A.Aggarwal and G.D.Veerappa Gowda).Godunov-Type Numerical Methods for a Model of
Granular Flow on Open Tables with Walls.Communications in Computational Physics, 20(4), 1071-1105.
https://doi.org/10.4208/cicp.290615.060516a
A in SJR
2020 (A.Aggarwal, M.R.Sahoo, A. Sen and G.Vaidya).Solutions with concentration for conservation laws with
discontinuous flux and its applications to numerical schemes for hyperbolic systems.Studies in Applied
Mathematics, 145(2), 247-290.
https://doi.org/10.1111/sapm.12319
A* in AMS
2021 (V.Anand, L.Verma, A.Aggarwal, P.Nanjundappa and H. Rai).COVID-19 and Psychological Distress
among Indians: A Predictive Model.Plos One, 16(8): e0255683
https://doi.org/10.1371/journal.pone.0255683
A in SJR
2021 (A.Aggarwal, G.Vaidya and G.D.Veerappa Gowda).Positivity-preserving numerical scheme for hyperbolic
systems with ?-shock solutions and its convergence analysis.Zeitschrift für angewandte Mathematik und
Physik, 72, 165
https://doi.org/10.1007/s00033-021-01590-y
A in AMS/SJR
2022 (A.Vijesh, A.Aggarwal and R.Roy) Adapted Monotone Iterative Finite Volume Algorithms for Coupled
Systems of First Order Non-linear PDEs. Zeitschrift für angewandte Mathematik und Mechanik,
https://doi.org/10.1002/zamm.202200022
B in AMS/SJR
2024 (A.Aggarwal, G.Vaidya and H.Holden) On the accuracy of the finite volume approximations to nonlocal
conservation laws. Numerische Mathematik,
https://doi.org/10.1007/s00211-023-01388-2
A* in AMS/SJR
2024 (A.Aggarwal, G.Vaidya and H.Holden) Well-posedness and error estimates for coupled systems of nonlocal
conservation laws. IMA Journal of Numerical Analysis,
https://doi.org/10.1093/imanum/drad101
A* in AMS/A in SJR
2024 (A.Aggarwal, G.D.Veerappa Gowda and Sudarshan Kumar K.) A well-balanced second-order finite volume
approximation for a coupled system of granular flow.Journal of Computational Physics,
https://doi.org/10.1016/j.jcp.2024.113068
A* in AMS/SJR
2024 (A.Aggarwal and G.Vaidya) Convergence of the numerical approximations and well-posedness: Nonlocal
conservation laws with rough flux.Mathematics of Computation,
https://doi.org/10.1090/mcom/3976
A in AMS/A* in SJR
Under Review
2023 (A.Aggarwal, G.Vaidya and H.Holden) Systems of nonlocal balance laws for dense multilane vehicular
traffic.