Arpit Babbar

Math grad approximating the approximations of physics

Preprints

  1. Sujoy Basak, Arpit Babbar, Harish Kumar and Praveen Chandrashekar, "Admissible Lax-Wendroff Flux Reconstruction method with Automatic Differentiation on Adaptive Curved Meshes for Relativistic Hydrodynamics".
  2. Arpit Babbar, Qifan Chen, Hendrik Ranocha, "Compact Runge-Kutta flux reconstruction methods with entropy- and/or kinetic energy-preserving fluxes". [Arxiv]
  3. Marco Artiano, Arpit Babbar, Michael Schlottke-Lakemper, Gregor Gassner, Hendrik Ranocha, "Jin-Xin relaxation as a shock-capturing method for high-order DG/FR schemes". [Arxiv]
  4. Arpit Babbar and Hendrik Ranocha, "Compact Runge-Kutta flux reconstruction for non-conservative hyperbolic equations". [Arxiv]
  5. F. Jochum, I. Knop , S. Klewinghaus, J. Rothermel, M. Artiano , A. Babbar, H. Ranocha, S. Dolaptchiev, U. Achatz, "PinCFlow.jl: An idealized-atmospheric-flow solver coupled to the 3D transient gravity-wave model MS-GWaM3". [PDF], [Software]
  6. Arpit Babbar, Valentin Churavy, Michael Schlottke-Lakemper, Hendrik Ranocha, "Automatic differentiation for performing the Cauchy-Kovalevskaya procedure in Lax-Wendroff type discretizations". [Arxiv]
  7. Arpit Babbar and Praveen Chandrashekar, "Equivalence of ADER and Lax-Wendroff in DG/FR framework for linear problems". [Arxiv]

Peer reviewed journal articles

  1. Arpit Babbar and Qifan Chen, "Compact Runge-Kutta Flux Reconstruction for Hyperbolic Conservation Laws with admissibility preservation", Journal of Scientific Computing (2025). [Arxiv], [Journal]
  2. Sujoy Basak, Arpit Babbar, Harish Kumar and Praveen Chandrashekar, "Constraints Preserving Lax-Wendroff Flux Reconstruction for Relativistic Hydrodynamics with General Equations of State", Journal of Scientific Computing (2025). [Arxiv], [Journal]
  3. Sujoy Basak, Arpit Babbar, Harish Kumar and Praveen Chandrashekar, "Bound preserving Lax-Wendroff flux reconstruction method for special relativistic hydrodynamics", Journal of Computational Physics (2025). [Arxiv], [Journal]
  4. Arpit Babbar and Praveen Chandrashekar, "Lax-Wendroff Flux Reconstruction on adaptive curvilinear meshes with error based time stepping for hyperbolic conservation laws", Journal of Computational Physics (2025). [Arxiv], [Journal]
  5. Arpit Babbar and Praveen Chandrashekar, "Multi-derivative Runge-Kutta flux reconstruction for hyperbolic conservation laws", Communications on Applied Mathematics and Computation (2025). [Arxiv], [Journal]
  6. Arpit Babbar, Sudarshan Kumar Kenettinkara, Praveen Chandrashekar, "Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction", Journal of Scientific Computing, Vol. 99, Issue 2, May 2024 [Arxiv], [Journal]
  7. Arpit Babbar, Sudarshan Kumar Kenettinkara and Praveen Chandrashekar, "Lax-Wendroff flux reconstruction method for hyperbolic conservation laws", Journal of Computational Physics, Vol. 467, October 2022. [Arxiv], [Journal]

Peer reviewed conference proceedings

  1. Arpit Babbar and Praveen Chandrashekar, "Generalized framework for admissibility preserving Lax-Wendroff Flux Reconstruction for hyperbolic conservation laws with source terms", Proceedings of International Conference on Spectral and High Order Methods (ICOSAHOM2023). [Arxiv], [Proceedings]
  2. Arpit Babbar and Praveen Chandrashekar, "Lax-Wendroff Flux Reconstruction for advection-diffusion equations with error-based time stepping", Proceedings of International Conference on Spectral and High Order Methods (ICOSAHOM2023). [Arxiv], [Proceedings]

Talks

  1. Relativistic hydrodynamics with adaptive mesh refinement in TrixiLW.jl, TRUDI 2026 .
  2. Compact Runge-Kutta methods for non-conservative hyperbolic equations, seminar at Tata Institute of Fundamental Research - Centre for Applicable Mathematics (2026)
  3. Compact Runge-Kutta Flux Reconstruction for non-conservative hyperbolic equations, Kompaktseminar 2025.
  4. Single-stage time integration methods for hyperbolic partial differential equations, SCALES-2025.
  5. Automatic differentiation and its application to Lax-Wendroff methods, invited talk at TIFR-CAM
  6. IMEX compact Runge-Kutta Flux Reconstruction for hyperbolic equations, Arpit Babbar, Hendrik Ranocha, ICOSAHOM 2025, Mcgill University, Montreal, Canada
  7. Compact Runge-Kutta methods for solving hyperbolic conservation laws, Arpit Babbar, Qifan Chen, ICOSAHOM 2025, Mcgill University, Montreal, Canada
  8. Admissibility preserving IMEX Compact Runge-Kutta Flux Reconstruction, Arpit Babbar, Hendrik Ranocha, poster presentation at Numerical Methods for Hyperbolic Problems (numhyp) 2025
  9. Compact Runge-Kutta methods for solving hyperbolic conservation laws, Oberseminar Mathematische Strömungsmechanik, Institut für Mathematik der Julius-Maximilians-Universität Würzburg
  10. Admissibility preserving Lax-Wendroff Flux Reconstruction schemes for compressible flows, IGHASC: Indo-german Workshop on Hardware-aware Scientific Computing 2024, Heidelberg, Germany.
  11. Compact Runge-Kutta Flux Reconstruction methods, Kompaktseminar 2024, Prien am Chiemsee, Germany.
  12. Admissibility preserving Flux Reconstruction / Discontinuous Galerkin methods for compressible flows, Mathematics Of the Weather 2024, Bad Orb, Germany.
  13. TrixiLW.jl: A high-order, single stage hyperbolic PDE solver using Trixi.jl, Arpit Babbar, Praveen Chandrashekar, invited to present in the Numerical Engine Room Talks
  14. Domain-invariant subcell-based blending limiter for Lax-Wendroff Flux Reconstruction, Arpit Babbar, Praveen Chandrashekar, Sudarshan Kumar Kenettinkara, ICIAM August 20-25, 2023, Waseda Univ., Tokyo
  15. Embedded error-based time stepping for Lax-Wendroff Flux Reconstruction for compressible flows, Arpit Babbar, Praveen Chandrashekar, ICOSAHOM, 14-18 August, 2023, Yonsei University, Seoul, Korea
  16. Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction, Arpit Babbar, Praveen Chandrashekar, Sudarshan Kumar Kenettinkara, in MS6 Towards Practical High-Order Methods for Unsteady High-Fidelity Computational Fluid Dynamics, ICOSAHOM, 14-18 August, 2023
  17. Error based time stepping for Lax-Wendroff Flux Reconstruction, Arpit Babbar, Praveen Chandrashekar, Indo-German conference on Computational Mathematics (IGCM), CDS IISc & IWR Heidelberg
  18. Lax-Wendroff Flux Reconstruction for hyperbolic conservation laws, Arpit Babbar, Praveen Chandrashekar, Sudarshan Kumar Kenettinkara, during visit at IISER-Trivandrum

Thesis

  1. “Lax-Wendroff Flux Reconstruction for Compressible Flows”, PhD thesis, Tata Institute of Fundamental Research - Centre for Applicable Mathematics, 2024. [PDF], [Source Code], [Cite].