
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
Contact:
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
Connect
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)
Education
- 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]
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)
Reviewer
- 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)