Current course: COMPUTING LABORATORY (MTP 290)

Biswarup Biswas works in the area of computational methods for Balance Laws. Most of his PhD works are on 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, Numerical schemes for Reaction-Diffusion equations.

He loves doing coding in Matlab, C++, Python, Fortran and Julia.

Publications

  1. 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
  2.  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
  3. 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
  4. 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
  5. 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  
  6. 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  
  7. 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  
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Teaching

Role Course Title Place Duration
Teacher MTP290 COMPUTING LABORATORYIIT Delhi Jan – May 2020
Teaching assistant MTL712 COMP. METHODS FOR DIFFER. EQU. IIT Delhi Jul – Nov 2019.
Teaching assistant MTL100 CALCULUSIIT DelhiNov 2020 – Feb 2021
Teaching assistantMTP290 COMPUTING LABORATORYIIT Delhi Feb – May 2021
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Seminars

  •  (As a PDF applicant) Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations. TIFR CAM, Bangalore. Link
  • (Invited talk) Introduction to machine learning with some applications. Organized by Government Polytechnic Kishanganj (Department of Science and Technology),  Government of Bihar.
  •  (As a PDF applicant) Development of Entropy Stable TVD and TVB schemes for  hyperbolic conservation laws. Department of mathematics, IIT Delhi. Link 

Education

  • Ph.D. in Mathematics (September 2018 ) - SRM Institute of Science and Technology, Kattankulathur, India. Thesis title: Non Linearly Stable High Order Accurate Efficient Schemes for System of Hyperbolic Conservation Laws. 
  • M. Sc. in Mathematics (July 2013) CGPA-8.41, IIT Madras, Chennai, India
  • B. Sc. in Mathematics (May 2010)  Percentage-79.37, University of Kalyani, West Bengal, India

Scholastic Achievements

  •  Institute Postdoctoral Fellowship (IPDF) from IIT Delhi, India.
  • Awarded National Postdoctoral Fellowship (N-PDF) by SERB, Govt. of India.
  • Awarded CSIR Senior Research Fellowship (SRF) for PhD.
  • Passed National examination CSIR-UGC NET for Lectureship.
  • Secured all India rank 121 in IIT JAM examination for Post Graduation study in IIT’s.
  • IIT Madras Merit Cum scholarship.
  • Best paper presentation in international conference NDETMC-2017.
  • Awarded Gold Medal in Research Day (2014) at SRM University.
  • West Bengal merit cum means scholarship for Post Graduation study.

Workshop and Training program

  • Selected for contributed paper in Conference on Computational PDE 2015 at TIFR CAM, Bengaluru. http://cpde.tifrbng.res.in/2015/contrib
  • International IFCAM Workshop on Control and Numerics for Fluid-Structure Interaction Problems (June 29 -July 1, 2015). TIFR CAM, Bengaluru.
  • Advanced Summer School on Control and Numerics for Fluid-Structure Interaction Problems (22-26 June, 2015). TIFR CAM, Bengaluru.
  • ADVANCED LEVEL WORKSHOP “COMPUTATIONAL METHODS FOR CONTROL ON PROBLEMS” (March 16-21, 2015) Jointly organized by Indian Institute of Space and Technology(IIST), Trivandrum and Mar Ivanios College, Trivandrum (Autonomous)
  • Attended the NPDE~TCA postgraduate level training program on differential equations in IIT Madras, 2013.

Contact

Top
Address

Department of Mathematics
IIT Delhi, New Delhi, 110016

Contacts

Email: biswarupb7[at]gmail.com

Links

Mathematics, IIT Delhi 
Mathematics Stack Exchange
Some attractive beamer themes

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