Biosketch

Harish Kumar is a Professor of Mathematics at the Indian Institute of Technology, Delhi. He joined IIT Delhi in 2012 as an Assistant Professor. Before joining IIT Delhi, he worked as a Postdoc fellow at INRIA Bordeaux, France, and SAM, D-MATH, ETH Zurich.

Prof. Harish’s research interest is in developing efficient and provably stable numerical methods for the hyperbolic PDEs arising in extended fluid and plasma flow models in relativistic and non-relativistic regimes. Specifically, he has worked on designing entropy stable and positivity preserving, finite difference, finite volume, WENO, and discontinuous Galerkin (DG) methods for these models. In addition, he has worked on finite difference numerical schemes for non-conservative hyperbolic models.

Prof. Harish has 30 original articles in the leading journals in the area. He has also guided six doctoral theses and several M.Tech. Projects. He is currently supervising four doctoral research scholars. He has delivered lecture series and seminars in several workshops and conferences in India and abroad. He has also organized the GIAN lecture series and was an Indian host under the VAJRA project. In addition, he has also received several international and national grants.

Recent Publications

• DS Balsara, D Bhoriya, C Singh, H Kumar, R Käppeli, F Gatti, Physical Constraint Preserving Higher Order Finite Volume Schemes for Divergence-Free Astrophysical MHD and RMHD, The Astrophysical Journal, 988(1) (2025)
• C Singh, D Bhoriya, A Yadav, H Kumar, DS Balsara, Chew, Goldberger & Low Equations: Eigensystem Analysis and Applications to One-Dimensional Test Problems, Computers & Mathematics with Applications 188, 195-220 (2025)
• S Basak, A Babbar, H Kumar, P Chandrashekar, Bound Preserving Lax-Wendroff Flux Reconstruction Method for Special Relativistic Hydrodynamics, Journal of Computational Physics, 527, 113815 (2025)
• C Singh, A Yadav, D Bhoriya, H Kumar, DS Balsara, Entropy stable finite difference schemes for Chew, Goldberger & Low anisotropic plasma flow equations, Journal of Scientific Computing 102, 51, (2025)
• J Agnihotri, D Bhoriya, H Kumar, P Chandrashekar, DS Balsara, Second-order divergence constraint preserving schemes for two-fluid relativistic plasma flow equations, Communications on Applied Mathematics and Computation (2025)