Deepak Bhoriya
Birla Institute of Technology and Science, Pilani, University of Notre Dame, Indian Institute of Technology Bombay, University of Delhi
0000-0003-2849-9045
About
I am currently working as an Assistant Professor in the Department of Mathematics at BITS Pilani, Rajasthan. Prior to this, I was a Post-Doctoral Researcher in the Department of Physics and Astronomy, University of Notre Dame, Indiana, USA. There, I worked in collaboration with Prof. Dinshaw S. Balsara. Most of my research focused on the mathematical aspects of astrophysical flows, including (but not limited to) the design of high-order finite difference and finite volume schemes for various hyperbolic conservation laws. Some of my work also addressed hyperbolic systems with non-conservative products. Before that, I was a research scholar in the Department of Mathematics at the Indian Institute of Technology (IIT-Delhi), India, where I obtained my Doctor of Philosophy (Ph.D.) degree in 2022. I worked under the supervision of Prof. Harish Kumar, one of the finest guides and human beings I have met during my research journey. At IIT-Delhi, the principal research work was established on the relativistic flows in the hydrodynamics and two-fluid plasma regimes. My thesis title "Entropy Stable Schemes for Relativistic Flows" explains the same.
Employment
-
Birla Institute of Technology and Science, Pilani Assistant Professor2025 - Present
-
University of Notre Dame Postdoctoral Research Associate2022 - 2025
Education
-
Indian Institute of Technology Bombay M.Sc. Mathematics2015 - 2017
-
University of Delhi B.Sc. (H) Mathematics2012 - 2015
Projects & Funding
Projects & funding information is unavailable.
Publications (27)
- Physical Constraint Preserving Alternative Finite-Difference WENO Scheme for Hyperbolic Systems with Non-conservative Products Save
- Multidimensional HLLI generalized riemann problem solver for conservation laws – The two-dimensional case for structured meshes Save
- Physical Constraint Preserving Higher-order Finite Volume Schemes for Divergence-free Astrophysical MHD and RMHD Save
- Chew, Goldberger & Low equations: Eigensystem analysis and applications to one-dimensional test problems Save
- An Anisotropic Plasma Model of the Heliospheric Interface Save
- Going Beyond the MHD Approximation: Physics-Based Numerical Solution of the CGL Equations Save
- Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations Save
- Entropy stable finite difference schemes for Chew, Goldberger & Low anisotropic plasma flow equations Save
- Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-conservative Products Save
- Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-conservative Products Save