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Kaushik Mukherjee
Kaushik Mukherjee
Associate Professor,Dept. of Math.,Indian Institute of Space Science and Technology (IIST)
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Parameter-uniform hybrid numerical scheme for time-dependent convection-dominated initial-boundary-value problems
K Mukherjee, S Natesan
Computing 84, 209-230, 2009
452009
Richardson extrapolation technique for singularly perturbed parabolic convection–diffusion problems
K Mukherjee, S Natesan
Computing 92, 1-32, 2011
442011
ε-Uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with nterior layers
K Mukherjee, S Natesan
Numerical Algorithms 58, 103-141, 2011
392011
Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients
K Mukherjee, S Natesan
BIT Numerical Mathematics 51, 289-315, 2011
232011
Parameter-uniform improved hybrid numerical scheme for singularly perturbed problems with interior layers
K Mukherjee
Mathematical Modelling and Analysis 23 (2), 167-189, 2018
152018
An efficient numerical scheme for singularly perturbed parabolic problems with interior layer
K Mukherjee, S Natesan
Neural, Parallel and Scientific Computations 16 (3), 405, 2008
142008
Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection–diffusion problems
K Mukherjee, S Natesan
Journal of Applied Mathematics and Computing 60 (1), 51-86, 2019
112019
Uniformly convergent new hybrid numerical method for singularly perturbed parabolic problems with interior layers
NS Yadav, K Mukherjee
International Journal of Applied and Computational Mathematics 6 (2), 53, 2020
102020
On -Uniform Higher Order Accuracy of New Efficient Numerical Method and Its Extrapolation for Singularly Perturbed Parabolic Problems with Boundary Layer
NS Yadav, K Mukherjee
International Journal of Applied and Computational Mathematics 7 (3), 1-58, 2021
5*2021
Uniform convergence analysis of hybrid numerical scheme for singularly perturbed problems of mixed type
K Mukherjee, S Natesan
Numerical Methods for Partial Differential Equations 30 (6), 1931-1960, 2014
52014
Numerical Approximation of System of Singularly Perturbed Convection–Diffusion Problems on Different Layer-Adapted Meshes
S Bose, K Mukherjee
Modeling, Simulation and Optimization: Proceedings of CoMSO 2021, 523-535, 2022
32022
An efficient numerical method for singularly perturbed parabolic problems with non-smooth data
NS Yadav, K Mukherjee
International Conference on Computational Sciences-Modelling, Computing and …, 2020
32020
Efficient parameter-robust numerical methods for singularly perturbed semilinear parabolic PDEs of convection-diffusion type
NS Yadav, K Mukherjee
Numerical Algorithms, 1-49, 2023
22023
A fast uniformly accurate global numerical approximation to solution and scaled derivative of system of singularly perturbed problems with multiple diffusion parameters on …
S Bose, K Mukherjee
Computational and Applied Mathematics 42 (4), 180, 2023
22023
Higher-order uniform convergence and order reduction analysis of a novel fractional-step FMM for singularly perturbed 2D parabolic PDEs with time-dependent boundary data
NS Yadav, K Mukherjee
Journal of Applied Analysis & Computation 14 (3), 1222-1268, 2024
12024
An efficient hybrid numerical scheme for singularly perturbed problems of mixed parabolic-elliptic type
K Mukherjee, S Natesan
International Conference on Numerical Analysis and Its Applications, 411-419, 2012
12012
Efficient approximation of solution derivatives for system of singularly perturbed time-dependent convection-diffusion PDEs on Shishkin mesh
S Bose, K Mukherjee
Journal of Mathematical Chemistry 62 (5), 1134-1174, 2024
2024
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