Assistant Professor of Mathematics

Biswarup
Biswas

Department of Mathematics, Mahindra University, Hyderabad

Numerical programmers don't just code — they resolve theory with mathematics.

Research Interests

Entropy Stable Schemes DG Schemes WENO Schemes Structure-Preserving Methods Hyperbolic Conservation Laws Deep Learning Hamilton–Jacobi Equations Astrophysical Flows

§2 Work Experience

Academic and research positions held

Assistant Professor

Mahindra University, Hyderabad

2021 – Present

Post Doctoral Fellow

IIT Delhi, New Delhi

2019 – 2021

Senior Research Fellow (SRF)

SRM University, Chennai

2016 – 2018

Junior Research Fellow (JRF)

SRM University, Chennai

2013 – 2016

§3 Teaching

Courses taught at Mahindra University and IIT Delhi

MA2221

Foundational Mathematics for ML

Mahindra University · Spring 2026

Instructor

MA4401

Advanced Numerical Methods

Mahindra University · Fall 2025

Instructor

MA6004

Scientific Computing

Mahindra University · Fall 2022, 2023, 2024, 2025

Instructor

MA2208

Numerical Methods

Mahindra University · Spring 2022, 2023, 2024, 2025

Coordinator & Instructor

MA203

Probability & Statistics

Mahindra University · Fall 2021–2025

Tutorial Teacher

MA2107

Programming Workshop

Mahindra University · Fall 2021–2024

Instructor

MTL712

Computational Methods for DEs

IIT Delhi · Fall 2019

Tutorial Teacher

MTP290

Computing Laboratory

IIT Delhi · Spring 2020, 2021

Instructor

MTL100

Calculus

IIT Delhi · Fall 2020, Spring 2021

Tutorial Teacher

§4 Research Team

PhD scholars under my supervision

Shubham Upadhyay

Status: PhD Scholar · Start Year: 2024

Background: MSc, University of Allahabad, Prayagraj

Email: shubham.u266@gmail.com

Pramodit Mishra

Status: PhD Scholar · Start Year: 2026

Background: MSc, University of Allahabad, Prayagraj

Email: pramoditmishra21@gmail.com

§5 Publications

Peer-reviewed journal articles and proceedings

2023

Entropy stable discontinuous Galerkin schemes for two-fluid relativistic plasma flow equations

Bhoriya, D., Biswas, B., Kumar, H., & Chandrashekar, P.

Journal of Scientific Computing, 97, 72
doi:10.1007/s10915-023-02387-z ↗
2022

Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations

Biswas, B., Kumar, H., & Bhoriya, D.

Computers and Mathematics with Applications
doi:10.1016/j.camwa.2022.02.019 ↗
2021

Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations

Biswas, B., Kumar, H., & Yadav, A.

Journal of Computational Physics
doi:10.1016/j.jcp.2021.110148 ↗
2020

ENO and WENO Schemes using Arc-length based Smoothness Measurement

Biswas, B., & Dubey, R. K.

Computers and Mathematics with Applications, 80(12)
doi:10.1016/j.camwa.2020.10.005 ↗
2020

Arc Length-Based WENO Scheme for Hamilton–Jacobi Equations

Samala, R., & Biswas, B.

Communications on Applied Mathematics and Computation
doi:10.1007/s42967-020-00091-5 ↗
2018

Suitable diffusion for constructing non-oscillatory entropy stable schemes

Dubey, R. K., & Biswas, B.

Journal of Computational Physics, 372
doi:10.1016/j.jcp.2018.04.037 ↗
2018

Low dissipative entropy stable schemes using third order WENO and TVD reconstructions

Biswas, B., & Dubey, R. K.

Advances in Computational Mathematics, 44(4)
doi:10.1007/s10444-017-9576-2 ↗
2017

An Analysis on Induced Numerical Oscillations by Lax-Friedrichs Scheme

Dubey, R. K., & Biswas, B.

Differential Equations and Dynamical Systems, 25(2)
doi:10.1007/s12591-016-0311-0 ↗
2016

Local maximum principle satisfying high-order non-oscillatory schemes

Dubey, R. K., Biswas, B., & Gupta, V.

International Journal for Numerical Methods in Fluids, 81(11)
doi:10.1002/fld.4202 ↗

View complete list on ResearchGate →

§6 Research Projects

Funded research initiatives

Simulation of Relativistic Astrophysical Flow Problems

Development and implementation of modern efficient stable schemes for simulating relativistic astrophysical flows. This project focuses on creating provably stable numerical methods with applications to neutron star mergers, black hole accretion, and other extreme astrophysical phenomena where standard numerical techniques break down.

Funding Agency: SERB, Government of India · Total Cost: ₹19.6 L (approx.) · Status: Ongoing

ACTIVE

SERB Funded

§7 Education

Academic qualifications and degrees

Ph.D. in Mathematics

SRM Institute of Science and Technology

Kattankulathur, India · Awarded: September 2018

Thesis: Non Linearly Stable High Order Accurate Efficient Schemes for System of Hyperbolic Conservation Laws

Advisor: Prof. Ritesh Kumar Dubey

M.Sc. in Mathematics

IIT Madras

Chennai, India · July 2013

CGPA: 8.41 / 10

B.Sc. in Mathematics

University of Kalyani

West Bengal, India · May 2010

Percentage: 79.37%

Scholastic Achievements

Institute Postdoctoral Fellowship (IPDF) from IIT Delhi, India
National Postdoctoral Fellowship (N-PDF) awarded by SERB, Govt. of India
CSIR Senior Research Fellowship (SRF) for doctoral studies
Passed National examination CSIR-UGC NET for Lectureship
All India Rank 121 in IIT JAM examination for post-graduation at IITs
IIT Madras Merit Cum Scholarship during MSc
Best Paper Presentation at international conference NDETMC-2017
Gold Medal in Research Day (2014) at SRM University
West Bengal Merit Cum Means Scholarship for post-graduation

Workshops & Training Programs

Contributed paper at Conference on Computational PDE 2015, TIFR CAM, Bengaluru
International IFCAM Workshop on Control and Numerics for Fluid-Structure Interaction Problems — TIFR CAM, Bengaluru (June–July 2015)
Advanced Summer School on Control and Numerics for Fluid-Structure Interaction Problems — TIFR CAM (June 2015)
Advanced Level Workshop on Computational Methods for Control Problems — IIST & Mar Ivanios College, Trivandrum (March 2015)
NPDE-TCA postgraduate level training program on differential equations, IIT Madras (2013)

§8 Seminars & Talks

Invited lectures, contributed talks, and research presentations

Contributed Talk

Limiter based Entropy Stable WENO Schemes for Relativistic Hydrodynamic Equations

Conference: Latest Advances in Computational and Applied Mathematics (LACAM-2025)
Venue: IISER Thiruvananthapuram · conference.iisertvm.ac.in/lacam-25ᴱˣᵗ

Invited Talk

Discontinuous Galerkin entropy stable schemes for hyperbolic conservation laws

Conference: 5th International Conference On Mathematical Techniques And Applications (ICMTA-2024)
Venue: SRM IST, Chennai

PDF Applicant Talk

Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations

Venue: TIFR CAM, Bangalore · Event Details ↗

Invited Talk

Introduction to Machine Learning with some Applications

Organizer: Government Polytechnic Kishanganj, Dept. of Science and Technology, Govt. of Bihar

PDF Applicant Talk

Development of Entropy Stable TVD and TVB schemes for hyperbolic conservation laws

Venue: Department of Mathematics, IIT Delhi · Event Details ↗