Rakesh Kumar, Praveen Chandrashekar, "Multi-level WENO Schemes with an Adaptive Characteristic-wise  Reconstruction  for System of Euler equations"  Computers & Fluids 2022. [Journal]  

 Anurag Kumar, Bhavneet Kaur, Rakesh Kumar, "A new fifth order finite difference WENO scheme to improve convergence rate at critical points"  Wave Motion   volume 109,  February 2022.  [Journal] 

Asha K. Dond, Rakesh Kumar, " Finite difference modified WENO schemes for hyperbolic conservation laws with non-convex flux" International Journal For Numerical Methods In Fluids volume 93, 3005-3019, 2021. [Journal ]

Dinshaw S. Balsara, Rakesh Kumar, Praveen Chandrashekar ''Globally divergence-free DG scheme for ideal compressible MHD''  Communications in Applied Mathematics and Computational Science, volume 16, 59-98, 2021.  [Journal ]

Praveen Chandrashekar, Rakesh Kumar “Constraint preserving discontinuous Galerkin method for ideal compressible MHD" Journal of Scientific Computing, volume 84,  39 (2020). [Journal] 

Ameya D Jagtap, Rakesh Kumar "Kinetic theory based multi-level adaptive finite difference WENO schemes for compressible Euler equations"  Wave  Motion, Volume 98, November 2020, 102626. [Journal] 

Samala Rathan, Rakesh Kumar, Ameya D. Jagtap "L1-type smoothness indicators based WENO scheme for nonlinear degenerate parabolic equations"  Applied Mathematics and Computation, Volume 375, 15 June 2020, 125112. [Journal] 

Rakesh Kumar, Ashok Choudhary, S Baskar "Modified cubic B-spline quasi-interpolation numerical scheme for hyperbolic conservation laws"  Applicable Analysis,  Volume 99, Pages 158-179, 2020. [Journal] 

Asha Kumari Meena, Rakesh Kumar, Praveen Chandrashekar "Positivity-preserving finite difference WENO scheme for Ten-Moment equations with source term" Journal of Scientific Computing, 82, Article number: 15 (2020). [Journal] [Arxiv] 

Rakesh Kumar, Praveen Chandrashekar "Efficient Seventh Order WENO Schemes of Adaptive Order For Hyperbolic Conservation Laws" Computers & Fluids, Volume 190, 15 August 2019, Pages 49-76. [Journal] 

Rakesh Kumar, Praveen Chandrashekar "Simple smoothness indicator and multi-level adaptive order WENO scheme for hyperbolic conservation laws"    Journal of Computational Physics Volume 375, 15 December 2018, Pages 1059-1090.  [Journal] [Arxiv] 

Rakesh Kumar "Adaptive semi-discrete formulation of BSQI–WENO scheme for the modified Burgers’ equation"  BIT Numerical Mathematics, 58, pages103–132(2018). [Journal] 

Rakesh Kumar, S Baskar "B-spline quasi-interpolation based numerical methods for some Sobolev type equations" Journal of Computational and Applied Mathematics,  Volume 292, 15 January 2016, Pages 41-66. [Journal]