Journal Publications:
Accepted
M. K. Singh and S. Natesan; Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers, Applied Mathematics and Computation (2018).
M. K. Singh and S. Natesan; Numerical analysis of singularly perturbed system of parabolic convection-diffusion problem with regular boundary layers. Differential Equation and Dynamical System (2019).
M. K. Singh and S. Natesan; A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems, International Journal of Computer Mathematics (2019).
M. K. Singh and S. Natesan; Numerical solution of 2D singularly perturbed reaction-diffusion system with multiple scales. Computers & Mathematics with Applications (2020).
M. K. Singh, G. Singh and S. Natesan; A unified study of superconvergence analysis of the Galerkin FEM for singularly perturbed systems of multiscale nature. Journal of Applied Mathematics and Computing (2021).
M. K. Singh; A discrete-ordinate weak Galerkin method for radiative transfer equation. Applied Numerical Mathematics (2024).
S. Frei and M. K. Singh; An Implicitly Extended Crank–Nicolson Scheme for the Heat Equation on a Time-Dependent Domain. Journal of Scientific Computing (2024)
S. Ganesan and M. K. Singh; Operator-splitting finite element method for solving the radiative transfer equation. Numerical Algorithms (2024)
Book Chapter:
Colin Cotter, Dan Crisan and Maneesh Kumar Singh; Data assimilation for the stochastic Camassa-Holm equation using particle filtering: a numerical investigation. In: Chapron, B., Crisan, D., Holm, D., Mémin, E., Radomska, A. (eds) Stochastic Transport in Upper Ocean Dynamics III. STUOD 2023. Mathematics of Planet Earth arXiv preprint arXiv:2402.06927.
Conference Publications:
M. K. Singh and S. Natesan; A finite element super convergence approximations for singularly perturbed system of convection-diffusion problems, AIP Conference Proceedings, (2018).