Assistant Professor

Dr Narendra Singh Yadav

Department of Mathematics

Interests

  1. Numerical Analysis
  2. Finite Difference Methods
  3. Finite Element Methods

Faculty Details

Education

2013

Kanpur University
BSc (Maths and Physics)

2015

Indian Institute of Technology Delhi
MSc (Mathematics)

2022

Indian Institute of Space Science and Technology, Thiruvananthapuram,
PhD (Applied Mathematics)

2022

Indian Institute of Science Education and Research, Thiruvananthapuram
Post Doctoral Fellowship

Experience

  • 6 Months- Adhoc Faculty- NIT Andhra Pradesh
  • 6 Months-Research Associate- IISER Thiruvananthapuram

Research Interest

  • Numerical solution and scientific computing of singularly perturbed time-dependent convection-diffusion-reaction partial differential equations.
  • In my work, I analyzed and established convergence analysis of implicit-explicit (IMEX) alternating direction and implicit alternating direction schemes for singularly perturbed 1D/2D semilinear time-dependent convection-diffusion-reaction problems with non-homogeneous boundary conditions by Finite Difference/Element Methods.

Awards

  • 2015-Gate in Mathematics
  • 2016- IIST Fellowships

Publications

Research Papers

  • Uniformly convergent new hybrid numerical method for singularly perturbed parabolic problems with interior layers-N.S.~Yadav and K.~ Mukherjee- Int. J. Appl. Comput. Math., 6(53), 2020.
  • On {$varepsilon$}-uniform higher order accuracy of new efficient numerical method and its extrapolation for singularly perturbed parabolic problems with boundary layer.N.S.~Yadav and K.~ Mukherjee, Int. J. Appl. Comput. Math., 7(3), 2021.
  • An Efficient Numerical Method for Singularly Perturbed Parabolic Problems with Non-smooth Data- N.S.~Yadav and K.~ Mukherjee- Computational Sciences - Modelling, Computing and Soft Computing Communications in Computer and Information Science , 159-171, 1345 (2021)

Contact Details

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