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Dr. Ritesh Kumar Dubey

Ph.D

Research Associate Professor

  • Assistant Professor, Research Institute, SRM Institute of Science and Technology (formerly known as SRM University), 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.
  • Data dependent analysis & shock capturing schemes
  • PDE's models, analysis and simulation of data rich phenomena in financial, social & enviromental studies.
  • Mr. Biswarup Biswas

Education: M. Sc. Mathematics from IIT Madras
Achievements: Qualified CSIR-NET and GATE
Area of research: Optimally viscous entropy stable non- oscillatory schemes
https://sites.google.com/site/biswarupbiswashome/

  • Ms. Sabana Parvin

Education: M. Sc., Mathematics from IIT Madras
Area of research: PDE based models 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.Phil. Mathematics,  University of Calicut
  • M. Sc., Mathematics, University of Calicut

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

  • Ritesh Kumar Dubey*, Biswarup Biswas, Suitable diffusion for constructing non-oscillatory entropy stable schemes, Accepted for publication in Journal of computational Physics, 2018.
  • Biswarup Biswas, Ritesh Kumar Dubey*, Low dissipative entropy stable schemes using third order WENO and TVD reconstructions, in  Advances in Computational Mathematics,  Spinger 2017
  • 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

Approved

INR 26,23,000/ Approx

SERB, DST India

Under EMR scheme

3

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

Scanctioned

INR 6,6000/

SERB, DST India,

Under MATRICS scheme

PhD positions in Department of Mathematics with university fellowship are also available. See the link for the application and qualifications http://www.srmuniv.ac.in/research/phd_research

Email: riteshkumar.d@res.srmuniv.ac.in

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