KAUSHIK MUKHERJEE
Indian Institute of Space Science and Technology, Indian Institute of Technology Guwahati
0000-0002-5351-0392
About
Dr. Kaushik Mukherjee is a Professor in the Department of Mathematics, Indian Institute of Space Science and Technology (IIST), Thiruvananthapuram, an autonomous institute under Department of Space (DoS), Govt. of India.
His primary research interest is associated with the development (with emphasis on both theoretical and computational aspects) of efficient numerical techniques such as finite difference/finite element methods etc. for solving partial differential equations (PDEs), specifically, singularly perturbed PDEs, which often arise in several branches of engineering and applied mathematics including fluid dynamics, gas dynamics, heat transfer, semiconductor device modeling, financial modeling, mathematical biology, chemical-reactor theory etc.
Employment
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Indian Institute of Space Science and Technology Professor
Education
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Indian Institute of Technology Guwahati Ph.D
Projects & Funding
Projects & funding information is unavailable.
Publications (22)
- Faster Convergence of Extrapolation Technique for System of Singularly Perturbed Time‐Delay Parabolic PDEs Save
- A parameter-robust approach on generalized mesh to numerical solution and diffusive fluxes for 2D-system of singularly perturbed convection-diffusion elliptic PDEs Save
- Parameter‐robust higher‐order time‐accurate computational method for singularly perturbed time‐dependent semilinear convection‐diffusion PDEs with discontinuous data Save
- Efficient parameter-robust numerical methods for singularly perturbed semilinear parabolic PDEs of convection-diffusion type Save
- Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions Save
- Efficient approximation of solution derivatives for system of singularly perturbed time-dependent convection-diffusion PDEs on Shishkin mesh Save
- 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 Save
- 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 Save
- A fast uniformly accurate global numerical approximation to solution and scaled derivative of system of singularly perturbed problems with multiple diffusion parameters on generalized adaptive mesh Save
- Numerical Approximation of System of Singularly Perturbed Convection–Diffusion Problems on Different Layer-Adapted Meshes Save