Articles in refereed journals

• Aekta Aggarwal,  Veerappa Gowda G. D., Sudarshan Kumar K., A well-balanced second-order finite volume approximation for a coupled system of granular flow, (submitted) under review, 2023.
• Arpit Babbar, Sudarshan Kumar K., Praveen Chandrashekar, Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction, J. Sci. Comput. 99 (2024), no. 2, 30-84.
• 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.
• Arpit Babbar, Sudarshan Kumar K., Praveen Chandrashekar, Lax-Wendroff flux reconstruction method for hyperbolic conservation laws. J. Comput. Phys. 467 (2022), Paper No. 111423, 49 pp, 49 pp.
• 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.
• 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.
• 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.
• 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.
• 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
• 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

1. R. Bürger, K. Sudarshan Kumar, R. Ruiz-Baier, H. Torres, Discontinuous approximation of flow in porous media with adsorption. PAMM Proc. Appl. Math. Mech. (2018).
2. R. Bürger, S. Kumar, K. Sudarshan Kumar, R. Ruiz-Baier, A discontinuous method for oil-water flow in heterogeneous porous media. PAMM Proc. Appl. Math. Mech.16 (2016), 763-764.
3. K. Sudarshan Kumar, C. Praveen, G.D. Veerappa Gowda, On polymer flooding in two-dimensional oil reservoir simulation. Hyperbolic Problems: Theory, Numerics and Applications, AIMS Series on Applied Mathematics vol. 8, American Institute of Applied Mathematics, Springfield, MO, USA, Vol 8 (2012), 733-740.