PhD Scholars:
Lavanya V Salian (July 2021 to till date) ; Thesis submitted:
Thesis Title: Higher-Order Numerical Methods for Korteweg-de Vries type Dispersive Partial Differential Equations
Related work:
Lavanya V Salian, Rathan Samala, Exponential approximation space reconstruction weighted essentially nonoscillatory scheme for dispersive partial differential equations, Mathematical Methods in the Applied Sciences, 47(4), 1823-1851, 2024. [Journal] [arXiv] [SCIE]
Lavanya V Salian, Rathan Samala, Rakesh Kumar, Compact finite difference scheme for some Sobolev-type equations with Dirichlet boundary conditions, Journal of Computational Mathematics, Vol.44, No.5, 1554–1582, 2026. [Journal] [arXiv] [SCIE]
Lavanya V Salian, Rathan Samala, Debojyoti Ghosh, Central compact finite difference scheme with a high spectral resolution for KdV equation, Numerical Methods for Partial Differential Equations. 42, no. 1, 2026: e70060 [Journal] [SCIE]
Lavanya V Salian, Vivek S Yadav, Rathan Samala, Rakesh Kumar, Spectral Analysis of Node- and Cell-Centered Higher-Order Compact Schemes for Fully Discrete One and Two Dimensional Convection-Dispersion Equation, [arXiv], Submitted.
Sanjibanee Sudha ( July, 2021 to till date); Research Area: Numerical schemes for nonlocal conservation laws (Co-guide: Dr. CV Rao)
Related work:
Jan Friedrich, Sanjibanee Sudha, Samala Rathan, Numerical schemes for a class of nonlocal conservation laws: a general approach, Networks and Heterogeneous Media, 18(3), 1335-1354, 2023.[Journal] [arXiv] [SCIE]
Sanjibanee Sudha, Jan Friedrich, Samala Rathan, Convergence of the non-staggered Nessyahu-Tadmor scheme for coupled systems of one-dimensional nonlocal balance laws, Accepted, IMA Journal of Numerical Analysis. [arXiv] [SCIE]
Jan Friedrich, Samala Rathan, Sanjibanee Sudha. A note on the central-upwind scheme for nonlocal conservation laws. Accepted, SEMA SIMAI Springer Series: Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems, 2026. [arXiv]
Shipra Mahata (July 2022 to till date); Research Area: Computational methods for differential equations
Sudipta Sahu (Dec 2022 to till date); Research Area: Numerical schemes for hyperbolic relaxation models
Shivaji Gorla (July 2025 to till date): Research Area: Numerical methods for differential equations (Co-guide: Dr. Hemanth Kumar)