FACULTY
Learning from some of the best minds in education and in the industry
Prof. Madhu Gupta
Assistant Professor - Applied Mathematics
Email: madhu.gupta@flame.edu.in
Prof. Madhu Gupta - Ph.D. in Mathematics from the University of Texas at Arlington, Arlington, USA; M.Sc. in Mathematics from IIT Bombay, Mumbai, Maharashtra, India; B.Sc. in Mathematics and Physics from Kisan Postgraduate College, Bahraich, Uttar Pradesh, India.
BIO
Prof. Madhu holds a Doctorate Degree in Mathematics from the University of Texas at Arlington, Arlington, USA. She also has a Post-Graduate Degree in Mathematics from Indian Institute of Technology Bombay, Mumbai, India, and a Bachelor’s Degree in Mathematics and Physics from Kisan Postgraduate College, Bahraich, India.
She has over one year of research and publishing experience across the India and United States and has worked at Wiley Publishing Company, Gujarat and George Mason University, USA. Her research interests include PDE constrained optimization, inverse problem in medical imaging, deep learning, and nonstandard finite difference methods.
RESEARCH & PUBLICATIONS
Publications
- F. Alalhareth, M. Gupta, S. Roy, and H. Kojouharov Second-order modified positive and elementary stable nonstandard numerical methods for n-dimensional autonomous differential equations, Mathematical Methods in the Applied Sciences (2023), 1–21.
- M. Gupta, RK. Mishra, and S. Roy. Sparsity-based nonlinear reconstruction of optical parameters in two-photon photoacoustic computed tomography, Inverse Problems (2021): 37 (4), 044001.
- HV. Kojouharov, S. Roy, M. Gupta, J. Slezak, and F. Alalhareth, A second-order modified nonstandard theta method for one-dimensional autonomous differential equations, Applied Math Letters (2021): 112, 106775.
- M. Gupta, J. Slezak, F. Alalhareth, S. Roy, and HV. Kojouharov, Second-order modified nonstandard Runge-Kutta and theta methods for one-dimensional autonomous differential equations, Application and applied mathematics (2021): 16 (2), 1.
- M. Gupta, J. Slezak, F. Alalhareth, S. Roy, and HV. Kojouharov, Second-order nonstandard explicit Euler method, AIP Conference Proceeding, (2020): 2302 (1), 110003.
- M. Gupta, J. Tyagi, Fractional Adams–Moser–Trudinger type inequality on Heisenberg group, Nonlinear Analysis, (2020): 195, 111747.
- M. Gupta, RK. Mishra, S Roy, Sparse reconstruction of log-conductivity in current density impedance tomography, Journal of Mathematical Imaging and Vision, (2019): 62 (2), 189-205.
Awards
Travel Awards:
- AWM Research Symposium, NSF-funded, 2023 (Didn’t avail due to relocation)
- SIAM Conference on Optimization, NSF-funded Early Career, 2023
- SIAM Imaging Science Conference, 2022
- Texas Woman in Math Symposium, Rice University, 2022
- Joint Mathematics Meeting 2022
- SIAM Texas-Louisiana section meeting, 2021
Academic Achievements:
- Edward and Dorothy Perez Endowed Scholarship, UTA, 2022
- Stephen R. Bernfeld Memorial Scholarship, UTA, 2022
- Internship, Oak Ridge Lab, Tennessee, funded by NSF MSGI, June 6 - August 12, 2022
- First Prize, Graduate Poster Competition, SIAM Texas-Louisiana Sectional Meeting, 2021
- Benny M. McCarley Scholarship, UTA, 2021
- Outstanding Graduate Student Researcher Award, UTA, 2020
- All India ranks in 54 Council of Scientific and Industrial Research, National Eligibility Test, 2018
- GATE Scholarship, Ministry of Human Resources and Development, Government of India, 2015
- Internship, VSRP at TIFR-CAM, 2013 and 2014.
- University Gold Medalist, B.Sc., Dr. Ram Manohar Lohia Avadh University, India, 2012