Articles in refereed journals
[12] Nikhil Manoj and Sudarshan Kumar K.*, Analysis of a central MUSCL type scheme for conservation laws with discontinuous flux, https://arxiv.org/abs/2501.04620 (2025).
[11] Nikhil Manoj, G. D. Veerappa Gowda, Sudarshan Kumar K*, A positivity-preserving second-order scheme for multidimensional system of non-local conservation laws, https://arxiv.org/abs/2412.18475, (2025).
[10] Aekta Aggarwal, Veerappa Gowda G. D., Sudarshan Kumar K.*, A well-balanced second-order finite volume approximation for a coupled system of granular flow, J. Comput. Phys. 510 (2024), 113068.
[9] Arpit Babbar, Sudarshan Kumar K., Praveen Chandrashekar, Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction, J. Sci. Comput. 99 (2024), no. 31, 30-84.
[8] Veerappa Gowda G. D., Nikhil Manoj, Sudarshan Kumar K.*, Convergence of a second-order scheme for non-local conservation laws. ESAIM Math. Model. Numer. Anal. 57 (2023), no. 6, 3439–3481.
[7] Arpit Babbar, Sudarshan Kumar K., Praveen Chandrashekar, Lax-Wendroff flux reconstruction method for hyperbolic conservation laws. J. Comput. Phys. 467 (2022), 111423.
[6] R. Bürger, K. Sudarshan Kumar, R. Ruiz-Baier, H. Torres, Coupling of discontinuous Galerkin schemes for viscous flow in porous media with adsorption. SIAM J. Sci. Comput. 40 (2018), B637-B662.
[5] R. Bürger, K. Sudarshan Kumar, D. Zorio, Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. Computers & Mathematics with Applications 74(2017), 1288-1310.
[4] R. Bürger, S. Kumar, K. Sudarshan Kumar, R. Ruiz-Baier, Discontinuous approximation of viscous two-phase flow in heterogeneous porous media. J. Comput. Phys. 321 (2016),126-150.
[3] Adimurthi, K. Sudarshan Kumar, G.D. Veerappa Gowda, On the convergence of a second-order approximation of conservation laws with discontinuous flux. Bull. Braz. Math. Soc. (N.S) 47(1) (2016),21-35.
[2] K. Sudarshan Kumar, C. Praveen, G. D. Veerappa Gowda, A finite volume method for a two-phase multicomponent polymer flooding. J. Comput. Phys. 275 (2014), 667-695
[1] Adimurthi, K. Sudarshan Kumar, G.D. Veerappa Gowda, Second-order scheme for scalar conservation laws with discontinuous flux. Appl. Numer. Math. 80 (2014), 46-64
Conference proceedings