An efficient Bayesian framework for uncertainty quantification in nonlinear imaging inverse problems (with Anuj Abhishek and Sakshi Arya), submitted 2026.
Initial condition recovery in nonlinear damped viscous photoacoustic tomography using a convolutional neural network-guided gradient-free optimization framework (with Anwesa Dey, Prapti Tala, and Souvik Roy), submitted 2026.
V-Line Tensor Tomography in a Disk: Theoretical, Numerical, and Reconstruction (with Rahul Bhardwaj), submitted 2026.
A dynamical model of glucose, heart rate, and sleep to predict metabolic risk in cancer survivors (with Shreshtha Chaturvedi, Yue Liao, and Souvik Roy), submitted 2026.
A note on dimensionality reduction in deep neural networks using empirical interpolation method (with Harbir Antil and Randy Price), Journal of Computational Physics, 2025 114419.
Second-order modified nonstandard explicit Euler and explicit Runge-Kutta methods for n-dimensional autonomous differential equations (with Fawaz Alalhareth, Hristo Kojouharov, and Souvik Roy), Computation 2024, 12(9), 183.
Second-order modified positive and elementary stable nonstandard numerical methods for n-dimensional autonomous differential equations (with Fawaz Alalhareth, Souvik Roy, and Histo Kojouharov), Mathematical Methods in the Applied Sciences (2023), 1–21.
Sparsity-based nonlinear reconstruction of optical parameters in two-photon photoacoustic computed tomography (with M. Rohit Mishra and Souvik Roy). Inverse Problems (2021): 37 (4), 044001.
A second-order modified nonstandard theta method for one- dimensional autonomous differential equations (with Hristo V. Kojouharov, Souvik Roy, John Slezak, and F. Alalhareth), Applied Math Letters (2021): 112, 106775.
Second-order modified nonstandard Runge-Kutta and theta methods for one-dimensional autonomous differential equations (with John Slezak, Fawaz Alalhareth, Souvik Roy, and Hristo V. Kojouharov), Application and applied mathematics (2021): 16 (2), 1.
Second-order nonstandard explicit Euler method (with John Slezak, Fawaz Alalhareth, Souvik Roy, and Hristo V. Kojouharov), AIP Conference Proceedings, (2020): 2302 (1), 110003.
Fractional Adams–Moser–Trudinger type inequality on the Heisenberg group (with Jagmohan Tyagi), Nonlinear Analysis, (2020): 195, 111747.
Sparse reconstruction of log-conductivity in current density impedance tomography (with Rohit Mishra and Souvik Roy), Journal of Mathematical Imaging and Vision, (2020): 62 (2), 189-205.
Higher-Order Modified Nonstandard Methods for Autonomous Differential Systems (with Fawaz Alalhareth, Souvik Roy, and Hristo Kojouharov), Contemporary Mathematics Book Series. AMS, 2023.