Parameter-uniform hybrid numerical scheme for time-dependent convection-dominated initial-boundary-value problems K Mukherjee, S Natesan
Computing 84, 209-230, 2009
45 2009 Richardson extrapolation technique for singularly perturbed parabolic convection–diffusion problems K Mukherjee, S Natesan
Computing 92, 1-32, 2011
44 2011 ε -Uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with nterior layersK Mukherjee, S Natesan
Numerical Algorithms 58, 103-141, 2011
39 2011 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
23 2011 Parameter-uniform improved hybrid numerical scheme for singularly perturbed problems with interior layers K Mukherjee
Mathematical Modelling and Analysis 23 (2), 167-189, 2018
15 2018 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
14 2008 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
11 2019 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
10 2020 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
5 2014 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
3 2022 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
3 2020 Efficient parameter-robust numerical methods for singularly perturbed semilinear parabolic PDEs of convection-diffusion type NS Yadav, K Mukherjee
Numerical Algorithms, 1-49, 2023
2 2023 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
2 2023 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
1 2024 Stability and Error Analysis of an Efficient Numerical Method for Convection Dominated Parabolic PDEs with Jump Discontinuity in Source Function on Modified Layer-Adapted Mesh NS Yadav, K Mukherjee
Computational Mathematics and Mathematical Physics 64 (3), 509-536, 2024
1 2024 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
1 2012 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 Parameter‐robust higher‐order time‐accurate computational method for singularly perturbed time‐dependent semilinear convection‐diffusion PDEs with discontinuous data NS Yadav, K Mukherjee
Mathematical Methods in the Applied Sciences, 2024
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