Biswarup Biswas

Assistant Professor Department of Mathematics emaiolsbiswarup.biswas@mahindrauniversity.edu.in

Dr. Biswarup Biswas currently works as an Assistant Professor at the Department of Mathematics at Mahindra University. Before joining MU, he was a Post Doctoral Fellow at IIT Delhi, where he worked with Dr Harish Kumar. He earned his PhD from SRM Institute of Science and Technology, where his thesis title was Non Linearly Stable High Order Accurate Efficient Schemes for System of Hyperbolic Conservation Laws. He completed his MSc from IIT Madras.

He works in the area of computational methods for Balance Laws. Most of his PhD works are in the area of higher-order provably stable methods for hyperbolic conservation laws. Currently, he is working on stable schemes for various astrophysical problems.

Some of his current interests are Entropy Stable schemes, DG schemes, Stability of numerical schemes for Hyperbolic Conservation Laws, Deep learning, Numerical schemes for Hamilton Jacobi equations.

Education

  • Ph.D. in Mathematics from SRM Institute of Science and Technology, Kattankulathur, India September 2018.
    Thesis title: Non Linearly Stable High Order Accurate Efficient Schemes for System of Hyperbolic Conservation Laws.
    Supervisor: Dr. Ritesh Kumar Dubey
  • M.Sc. in Mathematics from IIT Madras, Chennai, India 2013.
  • B.Sc. in Mathematics from University of Kalyani, West Bengal, India 2010.
Experience

Teaching Experience

  • Workshop (R Programming and GPU computing), Instructor, Mahindra University
  • Scientific Computing - I, Instructor, Mahindra University
  • Computing Laboratory, Shared Instructor IIT Delhi 
  • Computational Methods for Differential Equations, Teaching Assistant (TA), IIT Delhi
  • Calculus, Teaching Assistant (TA), IIT Delhi 

Research Experience

  • Post Doctoral Fellow, March 2019 to June 2021
    Mentor: Dr. Harish Kumar, IIT Delhi
Publications

  • Biswas, B., Kumar, H., & Bhoriya, D. (2022). Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations. Computers and Mathematics with Applications. https://doi.org/10.1016/j.camwa.2022.02.019
  • Biswas, B., Kumar, H., & Yadav, A. (2021). Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations. Journal of Computational Physics. https://doi.org/10.1016/j.jcp.2021.110148
  • Biswas, B., & Dubey, R. K. (2020). ENO and WENO Schemes using Arc-length based Smoothness Measurement. Computers and Mathematics with Applications, 80(12). https://doi.org/10.1016/j.camwa.2020.10.005
  • Samala, R., & Biswas, B. (2020). Arc Length-Based WENO Scheme for Hamilton–Jacobi Equations. Communications on Applied Mathematics and Computation. https://doi.org/10.1007/s42967-020-00091-5
  • Dubey, R. K., & Biswas, B. (2018). Suitable diffusion for constructing non-oscillatory entropy stable schemes. Journal of Computational Physics, 372. https://doi.org/10.1016/j.jcp.2018.04.037
  • Biswas, B., & Dubey, R. K. (2018). Low dissipative entropy stable schemes using third order WENO and TVD reconstructions. Advances in Computational Mathematics, 44(4). https://doi.org/10.1007/s10444-017-9576-2
  • Dubey, R. K., & Biswas, B. (2017). An Analysis on Induced Numerical Oscillations by Lax-Friedrichs Scheme. Differential Equations and Dynamical Systems, 25(2). https://doi.org/10.1007/s12591-016-0311-0
  • Dubey, R. K., Biswas, B., & Gupta, V. (2016). Local maximum principle satisfying high-order non-oscillatory schemes. International Journal for Numerical Methods in Fluids, 81(11). https://doi.org/10.1002/fld.4202
Research

  • Numerical Analysis
  • Computational methods for partial differential equations
  • Hyperbolic conservation laws