Dr. S. Rathan

Assistant Professor, Mathematics

Research Interest:

Broad Area: Numerical Analysis and Scientific Computing; Computational methods for PDEs

Current Interests:
  • Numerical Methods for Hyperbolic Conservation Laws and Related Models
  • Shock Capturing 
  • ENO and WENO schemes
  • Numerical Approximations and Integration
  • Finite-Difference, Finite-Volume schemes

Email: rathans.math@iipe.ac.in


Office: 0891-285-6046

Teaching Interests

  • Numerical Methods (BS20007)(Autumn-2019, 2020, 2021)
  • Engineering Mathematics-I (BS10001)(Autumn-2019, 2020, 2021)
  • Engineering Mathematics-II (BS10007)(Spring-2020, 2021, 2022)


  • Ph.D. Visvesvaraya National Institute of Technology, Nagpur, July, 2015-Dec, 2018
  • M.Sc. Mathematics, IIT Kharagpur, 2011-2013
  • B.Sc. vaagdevi Degree & P.G. College, Kakatiya University, Warangal.

Professional Experience

  • Assistant Professor, Indian Institute of Petroleum and Energy, Visakhapatnam, July-2019 to present
  • Postdoctoral fellow, Department of Mathematics, IIT Bombay, Jan-2019 to July-2019
  • Direct CSIR-SRF, Department of Mathematics, VNIT Nagpur, March 2018-Nov 2018
  • JRF, Department of Mathematics, VNIT Nagpur, Jan 2015-Jan 2018
  • Teaching Assistant, Department of Mathematics, VNIT Nagpur, July 2013-Dec 2014

Member of Professional Bodies

  • Life member of Indian Society of Theoretical and Applied Mechanics(ISTAM)
  • SIAM Early career member, 2020

Journal Publications

1. Samala Rathan, Deepit Shah*.
    Construction and comparative study of Euler method with adaptive IQ and IMQ-RBFs.
    Submitted. [arXiv]

2. Samala Rathan, Biswarup Biswas.
    Arc-length based WENO scheme for Hamilton-Jacobi Equations.
    Communications on Applied Mathematics and Computation, 3(3), 481-496, (2021).(ESCI)

3. Samala Rathan, G. Naga Raju, Ashlesha A. Bhise.
    Simple smoothness indicator WENO-Z scheme for hyperbolic conservation laws.
    Applied Numerical Mathematics, Vol 157, 255-275, (2020). (SCI, Impact Factor: 1.979)

4. Samala Rathan.
   L1-type smoothness indicators based weighted essentially non-oscillatory scheme for Hamilton-Jacobi equations.
   International Journal for Numerical Methods in Fluids, Vol. 92(12), 1927-1947, 2020 (SCI, Impact Factor: 1.808)

5. Samala Rathan, Rakesh Kumar, Ameya D. Jagtap.
    L1-type smoothness indicators based weno scheme for nonlinear degenerate parabolic equations.
    Applied Mathematics and Computation, Vol.375, Article No.125112, (2020). (SCI, Impact Factor: 3.472)

6. Ashlesha A. Bhise, G. Naga Raju, Samala Rathan, M. Devakar.
    An efficient hybrid weno scheme with a problem independent discontinuity locator.
    International Journal for Numerical Methods in Fluids, 91(1), 1-28, (2019). (SCI, Impact Factor: 1.808)

7.  Samala Rathan, G. Naga Raju.
     Improved weighted eno scheme based on parameters involved in nonlinear weights.
     Applied Mathematics and Computation, 331, 120-129, (2018). (SCI, Impact Factor: 3.472) 

8. Samala Rathan, G. Naga Raju.
    A modified fifth-order weno scheme for hyperbolic conservation laws.
    Computers & Mathematics with Applications, 75(5), 1531-1549, (2018). (SCI, Impact Factor: 3.370)

9.  G. Naga Raju, Yogita Rathod, Samala Rathan.
     Improved third-order weighted essentially non-oscillatory scheme. 
     International Journal for Numerical Methods in Fluids, 87(7), 329-342, (2018). (SCI, Impact Factor: 1.808)

10. G. Naga Raju, Yogita Rathod, Samala Rathan.
      Third-order weno scheme with a new smoothness indicator.
       International Journal for Numerical Methods in Fluids 85(2), 90-112, (2017). (SCI, Impact Factor: 1.808)

11. Samala Rathan, G. Naga Raju.
      An improved non-linear weights for seventh-order weighted essentially non-oscillatory scheme. 
      Computers & Fluids, 156, 496-514, (2017). (SCI, Impact Factor: 2.399)

* Indicates Under-Graduate student

Conference Publications

  •  “Seventh-order WENO scheme with L1−norm type smoothness indicators” in the Conference on Latest Advances in Computational and Applied Mathematics at Mahindra Ecole Centrale, Hyderabad, December, 15−17, 2016. (Only abstract)
  •   “Investigation of weighted essentially non-oscillatory scheme at critical points and near discontinuities” in the conference on Computational PDE at TIFR-CAM, Bengaluru, 2015.(Only abstract)

Research Projects

1. Title of the project: Design and Development of Numerical Schemes for Hyperbolic Systems of Conservation Laws
    Sponsoring agency: NBHM, DAE
    Project duration: 3 years (Sanctioned Date: 09/12/2021)

Awards & Honors

  • Institute Postdoctoral fellowship, IIT Bombay, 01-01-2019 to 31-12-2020.
  • Selected for NBHM Postdoctoral fellowship for the year 2018. (Not availed)
  • Direct CSIR SRF fellowship in Mathematics for the year 2017-18. (One of the two selected candidates from all over India )
  • All India rank 144, IIT-JAM 2011.
  • Mandal level third topper in S.S.C., 2006.

Administrative Responsibilities:

Professor-in-Charge, Admissions, from 2021 to till date

Phd Students:

1. Lavanya V Salian, Joined in July, 2021.

2. Sanjibanee Sudha, Joined in July, 2021. (Jointly with Dr. C. V. Rao)


  • AMS Mathematical Reviews
  • Applied Numerical Mathematics(Elsevier )
  • Computers & Fluids (Elsevier )
  • International Journal for Numerical Methods in Fluids(Wiley)
  • International Journal of Computer Mathematics(Taylor & Francis)
  • International Journal of Computational Fluid Dynamics(Taylor & Francis)
  • Computational and Applied Mathematics(Springer)
  • Indian Journal of Pure and Applied Mathematics(Springer)