Publication

Research Publications:

1. Sunil Kumar, B.V. Rathish Kumar, A domain decomposition Taylor Galerkin finite element approximation of a parabolic singularly perturbed differential equation, Applied Mathematics and Computation, 293:508-522, 2017.

2. Sunil Kumar, B.V. Rathish Kumar, A finite element domain decomposition approximation for a semilinear parabolic singularly perturbed differential equation, International Journal of Nonlinear Sciences and Numerical Simulation, 18:41-55, 2017.

3. Sunil Kumar, B.V. Rathish Kumar, J.H.M. ten Thije Boonkkamp, Complete flux scheme for parabolic singularly perturbed differential-difference equations, Numerical Methods for Partial Differential Equations, 35:790-804, 2019.

4. Sunil Kumar, B.V. Rathish Kumar, J.H.M. ten Thije Boonkkamp, Complete flux scheme for elliptic singularly perturbed differential-difference equations, Mathematics and Computers in Simulation, 165:255-270, 2019.

5. B.V. Rathish Kumar, Sunil Kumar, Convergence of three-step Taylor Galerkin finite element scheme based monotone Schwarz iterative method for singularly perturbed differential-difference equation, Numerical Functional Analysis and Optimization, 36:1029-1045, 2015.

6. Priti Kumar, Mohit Nigam, Sunil Kumar, Vinay Kumar, Shweta Raturi, Meena Pargaei, S.V.S.S.N.V.G. Krishna Murthy, B.V. Rathish Kumar, Magnetic Field Effect on Non-Darcy mixed Convection from a Horizontal Plate in a Nanofluid Saturated Porous Medium, Journal of Porous Media, 22:599-610, 2019.

7. J.H.M. ten Thije Boonkkamp, B.V. Rathish Kumar, Sunil Kumar, M. Pargaei, Complete flux scheme for conservation laws containing a linear source, Numerical Mathematics and Advanced Applications ENUMATH-2015 proceedings, Springer, 112:23-31, 2016.

Conference Presentation:

1. Sunil Kumar, B.V. Rathish Kumar, A domain decomposition Taylor Galerkin finite element approximation of a singularly perturbed semilinear differential-difference equation, ENUMATH, International Conference, September 14-18, 2015, Middle East Technical University, Ankara, Turkey.

2. Sunil Kumar, B.V. Rathish Kumar, A finite element domain decomposition approximation for a semilinear singularly perturbed differential-difference equation, ICMMDESCA, International Conference, March 27-29, 2016, IIT Kanpur, India.