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Dr. Ritesh Kumar Dubey

Ph.D

Research Associate Professor

  • Assistant Professor, Research Institute, 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


  • Numerics and control of PDE's, Non-linear stability and shock capturing schemes
  • PDE's models in finance and river contamination
  • 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

  • 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, Accepted for publication in SIAM journal on Scientific Computing.

  • 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

  • Vikas Gupta*, Ritesh Kumar Dubey, A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters, Accepted for publication in International Journal of Computer Mathematics, Springer.

  • 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

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

Positions Open: Ph.D and Post Doctoral positions are available

JRF: One JRF Position is available in my group.  Interested candidate can can apply through email alongwith their detailed CV.

Essential qualification: MSc Mathematics (first class) with a strong interest in numerical analysis, differential equations, and programming.

Desired qualification:  GATE, UGC-NET, SLET qualified

Last date to receive application by email: 10 September.

Fellowship: Minimum 16,000 to a maximum  of Rs 40,000 per month ( Depending on qualification)

Note: Selected candidate can register for PhD in University after satisfying the norms.

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