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Dr. Ritesh Kumar Dubey

Ph.D

Research Associate Professor

  • Associate Professor, Research Institute, SRM Institute of Science and Technology (formerly SRM University), Tamil Nadu, March 01, 2017
  • Assistant Professor, Research Institute, SRM Institute of Science and Technology  Tamil Nadu April 02, 2012-February 28, 2017.
  • Post-Doctoral fellow, IIT Madras, Chennai, December 2010- March 2012.
  • Post-Doctoral fellow at Institute Mathématiques de Toulouse, Université Paul Sabatier, 31062 Toulouse, France, September 2008-August 2010.
  • Faculty at Indian Institute of Information Technology, Design and Manufacturing Jabalpur July 2007-July 2008.

 

Announcement:  Advance Workshop on  Hyperbolic Conservation Laws & International Conference on Nonlinear Differential Equations- Theory,  Modeling  and Computations


  • Numerical Analsysis and Scientific Computing.
  • Deep learning in computer vision and numerical PDE's
  • PDE's models, analysis and simulation of data rich phenomena in financial, social & enviromental studies.

PhD Guidance

  • Dr. Biswarup Biswas (Completed)

Education: M. Sc. Mathematics from IIT Madras
Achievements: Qualified CSIR-NET and GATE
Area of research: Optimally viscous entropy stable non- oscillatory schemes

Thesis Title: Non-linearly stable high order accurate efficient schemes for system of hyperbolic conservation laws
https://sites.google.com/site/biswarupbiswashome/

  • Ms. Sabana Parvin (Advance stage)

Education: M. Sc., Mathematics from IIT Madras
Area of research: Numerical treament of PDE's in finance and river modeling

  • Mr. Prabhat Mishra

Education: M. Sc. Mathematics from South Asian University, New Delhi
Area of research: Mesh adaptation for transient flow problems

  • Ms. Jisha C.R.

Education:  M.Sc. and M.Phil. Mathematics,  University of Calicut

Achievements: Qualified CSIR-NET
Area of research: Measure valued solution for PDEs

  • Mr. Prashant Kumar Pandey

Education:  M.Sc.  Mathematics from IIT Madras

Area of research: Measure valued solution for PDEs

Post Doctoral Fellow

  • Dr. Neelesh Kumarsmiley

PhD from South Asian University, New Delhi

 

 

 

 

  • Biswarup Biswas, Ritesh Kumar Dubey, Accuracy Preserving ENO and WENO Schemes using Arc-length based Smoothness Measurement, Accepted for publication in Computers and Mathematics with Applications, Elsevier, 2020.
  • Sabana Parvin, Ritesh Kumar Dubey, A new framework to construct third order WENO weights using weight limiter functions, Accepted for publication in International Journal for Numerical Methods in Fluids, John Wiley, 2020.
  • Ritesh Kumar Dubey, Anupam Gupta , Vikas Kumar Jayswal, and Prashant Kumar Pandey, Learning numerical viscosity using artificial neural regression network, Accepted for publication in Communications in Computer and Information Science, CCIS series, Springer 2020.
  • Neelesh Kumar and Ritesh Kumar Dubey, A new development of sixth order accurate compact scheme for the Helmholtz equation, J. Appl. Math. Comput.  637-662, Springer, 62(2020).
  • Ritesh Kumar Dubey*, Biswarup Biswas, Suitable diffusion for constructing non-oscillatory entropy stable schemes, Journal of computational Physics, Volume 372, 1 November 2018, Pages 912-930.
  • Biswarup Biswas, Ritesh Kumar Dubey*, Low dissipative entropy stable schemes using third order WENO and TVD reconstructions, in  Advances in Computational Mathematics, August 2018 Volume 44, Issue 4, pp 1153–1181.
  • C. Airiau , J. M. Buchot , Ritesh Kumar Dubey, M. Fournié ,  J. P. Raymond*, J. W. Calvo, Stabilization and best actuator location for the Navier-Stokes equations, SIAM J. Sci. Comput., 39(5), B993–B1020, 2017.
  • Ritesh Kumar Dubey*, Sabana Parvin, An Investigation on Three Point Explicit Schemes and Induced Numerical Oscillations, in Differential Equations and Dynamical Systems, Springer. DOI 10.1007/s12591-017-0382-6, 2017
  • Vikas Gupta*, Ritesh Kumar Dubey, A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters, International Journal of Computer Mathematics, Springer, 2017
  • Ritesh Kumar Dubey,* Biswarup Biswas, An analysis on induced  numerical oscillations by Lax-Friedrichs scheme,  Differential Equations and Dynamical Systems, Springer, Volume 25, Issue 2, pp 151–168, 2017
  • Ritesh Kumar Dubey, Data dependent stability of Forward in Time and Centred in Space (FTCS) scheme for scalar hyperbolic equations, in International Journal of Numerical Analysis and Modeling, Volume 13, Number 5, Pages 689–704, 2016.
  • Ritesh Kumar Dubey*, Biswarup Biswas and Vikas Gupta, Local maximum principle satisfying high-order non-oscillatory schemes, International Journal for Numerical methods in fluids, John-Wily, Volume 81, Number 11, Pages 689–715, 2016.
  • Ritesh Kumar Dubey, Flux limited schemes: Their classification and accuracy based on total variation stability regions, Applied Mathematics and Computation, Elsevier 224(2013), Pages 325-336,
  • Ritesh Kumar Dubey, A hybrid semi-primitive shock capturing scheme for conservation Laws, Electronic. J. Diff. Equations, Txstate.edu, USA, 19 (2010), pp. 65-73.
  • Ritesh Kumar Dubey, A Composite Semi-conservative Scheme for Hyperbolic Conservation Laws, Applied Mathematics and Computation, Elsevier, Vol 215, issue 9, 2010, pp 3335-3342.

 

Funded Projects as Principal Investigator:

S. No.

Title of Project

Status

Cost and Duration

Funded by

1.

High order accurate total variation stable schemes for discontinuous flow problems

Completed

INR 12,12,000/- for 2013-2016

SERB, DST India

Under Fast track

2.

High order entropy stable schemes and automatic mesh adaptation techniques: their design, analysis and applications

Ongoing

INR 21,52,298/

SERB, DST India

Under EMR scheme

3

Analysis and development of numerical schemes and fitted meshfor non-oscillatory approximation of evolutionary partial differential equations

Ongoing

INR 6,60,000/

SERB, DST India,

Under MATRICS scheme

  • Two PhD positions is available in my group. Interseted with MSc/Mphill  Mathematics dgree from reputed university can directly send their updated CV's to me.

  • NET-JRF or LS, GATE, SLAT etc qualified candidates are eligible for fellowship amount INR 25,000 p/m. For more info see the link https://www.srmist.edu.in/research/phd_research

Email: riteshkd@srmist.edu.in

Telephone: +91-44-27417901
Fax: +91-44-27456702