An HLLC-Type Approximate Riemann Solver for Ideal Magnetohydrodynamics. - Katharine F. Gurski (SIAM J. Sci. Comput., 2004)

The Effect of Contact Lines on the Rayleigh Instability with Anisotropic Surface Energy. - Katharine F. Gurski; G. B. McFadden; Michael J. Miksis (SIAM J. Appl. Math., 2006)

A Stability Study of a New Explicit Numerical Scheme for a System of Differential Equations with a Large Skew-Symmetric Component. - Katharine F. Gurski; Stephen O'Sullivan (SIAM J. Numer. Anal., 2011)

A simple construction of nonstandard finite-difference schemes for small nonlinear systems applied to SIR models. - Katharine F. Gurski (Comput. Math. Appl., 2013)

A two-dimensional Riemann solver with self-similar sub-structure - Alternative formulation based on least squares projection. - Dinshaw S. Balsara; Jeaniffer Vides; Katharine F. Gurski; Boniface Nkonga; Michael Dumbser; Sudip Garain; Edouard Audit (J. Comput. Phys., 2016)