Indian Institute of Information Technology, Lucknow
भारतीय सूचना प्रौद्योगिकी संस्थान, लखनऊ
(An Institute of National Importance by the Act of Parliament)

Dr. Nitin Kumar

[email protected]
Lucknow, India

Dr. Nitin Kumar

Assistant Professor

Education

  • Postdoc- International School for Advanced Studies (SISSA), Trieste, Italy
  • PhD- (IIT Delhi)
  • M.Sc. (Mathematics -IIT Roorkee)

Research Interest

  • Numerical analysis of Bifurcating Phenomenon
  • Non-linear Parametric PDEs
  • Optimal Control of fractional PDEs/non-local PDEs
  • Wavelet Collocation Methods
  • Physics-Informed Neural Networks (PINNs)

Research Interest

  • Numerical Analysis
  • Partial Differential Equations
  • Calculus
  • Linear Algebra and Differential Equations
  • Probability and Statistics
  • Research Methodology and Technical Writing
  • Computing Lab Using MATLAB or Python

Experience

Publications

  • Nitin Kumar, Mani Mehra, Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost, Numerical methods for partial differential equations, 2021, 37 (2), 1693-1724.
  • Nitin Kumar, Mani Mehra, Collocation method for solving nonlinear fractional optimal control problems by using Hermite scaling function with error estimates, Optimal Control Applications and Methods, 2021, 42 (2), 417-444
  • Nitin Kumar, Mani Mehra, Necessary optimality conditions for two-dimensional fractional optimal control problems and numerical solution with error estimates, Z Angew Math Mech (ZAMM), 2022, 102(12):e202200143 pp.
  • Nitin Kumar, Mani Mehra, Legendre wavelet method for solving variable order non-linear fractional optimal control problems with variable order fractional Bolza cost, Asian Journal of Control, 2022, 25(3):2122-2138 pp.
  • Nitin Kumar, Mani Mehra, Muntz-Legendre wavelet method for solving Sturm-Liouville fractional optimal control problem with error estimates, Mathematical Methods in the Applied Sciences, 2023, 46(12): 12505-12528 pp.
  • Nitin Kumar, Mani Mehra, Generalized fractional-order Legendre wavelet method for two dimensional distributed order fractional optimal control problem, Journal of Vibration and control, 2023, 30(7-8): 1690-1705 pp.
  • Ritu Kumari, Mani Mehra, Nitin Kumar, Muntz-Legendre wavelet collocation method for loaded optimal control problem, International Journal of Systems Science, 2024.
  • Nitin Kumar, Vivek Kumar, and Mani Mehra, Legendre wavelet collocation method for Singularly-Perturbed Problems using operational matrix and Laplace transformation. Z Angew Math Mech (ZAMM), 2025.

Contact

Department of Mathematics,
Indian Institute of Information Technology,
Lucknow, India.
[email protected]

Personal Website:- https://sites.google.com/view/dr-nitin-kumar/home?authuser=0

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