An explicit higher order difference scheme on a compact stencil for elliptic equations on curvilinear geometries. - Kartikey Asthana; Tapan K. Sengupta (Appl. Math. Comput., 2014)

Non-linear stabilization of high-order Flux Reconstruction schemes via Fourier-spectral filtering. - Kartikey Asthana; Manuel R. López-Morales; Antony Jameson (J. Comput. Phys., 2015)

High-Order Flux Reconstruction Schemes with Minimal Dispersion and Dissipation. - Kartikey Asthana; Antony Jameson (J. Sci. Comput., 2015)

A Simplified Formulation of the Flux Reconstruction Method. - Joshua Romero; Kartikey Asthana; Antony Jameson (J. Sci. Comput., 2016)

On the Rate of Convergence of Flux Reconstruction for Steady-State Problems. - Kartikey Asthana; Jerry Watkins; Antony Jameson (SIAM J. Numer. Anal., 2016)

On consistency and rate of convergence of Flux Reconstruction for time-dependent problems. - Kartikey Asthana; Jerry Watkins; Antony Jameson (J. Comput. Phys., 2017)