Harish.jpg

I am a professor of mathematics at the Indian Institute of Technology in Delhi. Before that, I was a postdoctoral fellow at INRIA Bordeaux, France, and Seminar for Applied Mathematics, D-MATH, ETH Zurich. My research interest is in computational mathematics. In particular, my group works on designing stable numerical methods for PDEs arising from fluid and plasma flows. These are often modeled via PDEs, which have discontinuous solutions. We design finite-volume, finite-difference, and discontinuous Galerkin methods for these PDEs and analyze these methods' theoretical and numerical stabilities.

My CV can be found here.

Harish Kumar

611H, Academic Complex (west)

IIT Delhi, Hauz Khas

New Delhi, Delhi-110016

Relativistic jets

More details about the setups and scheme can be found here.

Employment

  • Dec 2024 – Current Professor, Department of Mathematics, IIT Delhi, New Delhi.
  • May 2019 – Dec 2024 Associate Professor, Department of Mathematics, IIT Delhi, New Delhi.
  • Dec 2012 – May 2019 Assistant Professor, Department of Mathematics, IIT Delhi, New Delhi.
  • Oct 2011 – Nov 2012 Postdoctoral Fellow, INRIA Bordeaux, France.
  • Jul 2009 – Jul 2011 Postdoctoral Fellow, SAM, D-MATH, ETH Zurich, Switzerland.

Education

  • 2004 – 2009: Ph.D. in Applied Mathematics, Department of Mathematics, ETH Zurich, Switzerland.
    Thesis Title: Three-Dimensional High Current Arc Simulations for Circuit Breakers Using Real Gas Resistive Magnetohydrodynamics.
  • 2001 – 2004: Master of Science (MS) in Mathematical Science, Indian Institute of Science, Bangalore, India. Gold Medal.
  • 1998 – 2001: B.Sc. (Hons.) in Mathematics, MD University, Rohtak, Haryana, India. Gold Medal.

Recent Publications

  1. Entropy stable finite difference schemes for Chew, Goldberger & Low anisotropic plasma flow equations
    Chetan Singh, Anshu Yadav, Deepak Bhoriya, Harish Kumar, and Dinshaw S Balsara
    Journal of Scientific Computing, 2025
    DOI
  2. Bound Preserving Lax-Wendroff Flux Reconstruction Method for Special Relativistic Hydrodynamics
    Sujoy Basak, Arpit Babbar, Harish Kumar, and Praveen Chandrashekar
    Journal of Computational Physics, 2025
    DOI
  3. Second order divergence constraint preserving schemes for two-fluid relativistic plasma flow equations
    Jaya Agnihotri, Deepak Bhoriya, Harish Kumar, Praveen Chandrashekar, and Dinshaw S. Balsara
    Communications on Applied Mathematics and Computation, https://arxiv.org/abs/2503.20372, 2025
    DOI
  4. Chew, Goldberger & Low Equations: Eigensystem Analysis and Applications to One-Dimensional Test Problems
    Chetan Singh, Deepak Bhoriya, Anshu Yadav, Harish Kumar, and Dinshaw S. Balsara
    Computers & Mathematics with Applications, 2025
    DOI
  5. Physical Constraint Preserving Higher-order Finite Volume Schemes for Divergence-free Astrophysical MHD and RMHD
    Dinshaw S. Balsara, Deepak Bhoriya, Chetan Singh, Harish Kumar, Roger Käppeli, and Federico Gatti
    The Astrophysical Journal, Jul 2025
    DOI