Dr. Arpit Babbar

Profile

Academic positionPost Doc
Research fieldsNumerical analysis,Mathematics in fluid mechanics
KeywordsAtmospheric flows, Discontinuous Galerkin methods, Single stage temporal discretization, Hyperbolic conservation laws, Entropy stable numerical methods

Current contact address

CountryGermany
CityMainz
InstitutionJohannes Gutenberg-Universität Mainz
InstituteArbeitsgruppe Numerische Mathematik

Host during sponsorship

Prof. Dr. Hendrik RanochaArbeitsgruppe Numerische Mathematik, Johannes Gutenberg-Universität Mainz, Mainz
Start of initial sponsorship01/06/2025

Programme(s)

2024Humboldt Research Fellowship Programme for Postdocs

Publications (partial selection)

2025Sujoy Basak and Arpit Babbar and Harish Kumar and Praveen Chandrashekar: Bound Preserving Lax-Wendroff Flux Reconstruction Method for Special Relativistic Hydrodynamics. In: Journal of Computational Physics, 2025, 113815
2025Babbar, Arpit and Chen, Qifan: Compact Runge-Kutta Flux Reconstruction Method for Hyperbolic Conservation Laws with Admissibility Preservation. In: Journal of Scientific Computing, 105, 2025,
2025Basak, Sujoy and Babbar, Arpit and Kumar, Harish and Chandrashekar, Praveen: Constraints Preserving Lax-Wendroff Flux Reconstruction for Relativistic Hydrodynamics with General Equations of State. In: Journal of Scientific Computing, 105, 2025,
2025Babbar, Arpit and Chandrashekar, Praveen: Generalized Framework for Admissibility Preserving Lax-Wendroff Flux Reconstruction for Hyperbolic Conservation Laws with Source Terms. In: Chun, Sehun and Jung, Jae-Hun and Park, Eun-Jae and Shen, Jie, Spectral and High-Order Methods for Partial Differential Equations ICOSAHOM 2023. Cham: Springer Nature Switzerland, 2025. 141--156
2025Babbar, Arpit and Chandrashekar, Praveen: Lax-Wendroff Flux Reconstruction for Advection-Diffusion Equations with Error-Based Time Stepping. In: Chun, Sehun and Jung, Jae-Hun and Park, Eun-Jae and Shen, Jie, Spectral and High-Order Methods for Partial Differential Equations ICOSAHOM 2023. Cham: Springer Nature Switzerland, 2025. 157--173
2025Arpit Babbar and Praveen Chandrashekar: Lax-Wendroff flux reconstruction on adaptive curvilinear meshes with error based time stepping for hyperbolic conservation laws. In: Journal of Computational Physics, 522, 2025, 113622
2024Babbar, Arpit and Kenettinkara, Sudarshan Kumar and Chandrashekar, Praveen: Admissibility Preserving Subcell Limiter for Lax–Wendroff Flux Reconstruction. In: Journal of Scientific Computing, 99, 2024,
2022Arpit Babbar and Sudarshan Kumar Kenettinkara and Praveen Chandrashekar: Lax-Wendroff flux reconstruction method for hyperbolic conservation laws. In: Journal of Computational Physics, 467, 2022, 111423