A Multigrid Preconditioned Newton-Krylov Method. - Dana A. Knoll; William J. Rider (SIAM J. Sci. Comput., 1999)

Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations. - William J. Rider; Jeffrey A. Greenough; James R. Kamm (J. Comput. Phys., 2007)

On sub-linear convergence for linearly degenerate waves in capturing schemes. - Jeffrey W. Banks; Tariq D. Aslam; William J. Rider (J. Comput. Phys., 2008)

Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics. - E. Love; William J. Rider; Guglielmo Scovazzi (J. Comput. Phys., 2009)

Sensitivity analysis techniques applied to a system of hyperbolic conservation laws. - V. Gregory Weirs; James R. Kamm; Laura Painton Swiler; Stefano Tarantola; Marco Ratto; Brian M. Adams; William J. Rider; Michael Eldred (Reliab. Eng. Syst. Saf., 2012)

On the convergence of finite difference methods for PDE under temporal refinement. - E. Love; William J. Rider (Comput. Math. Appl., 2013)

Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows. - Andrew Barlow; Pierre-Henri Maire; William J. Rider; Robert N. Rieben; Mikhail J. Shashkov (J. Comput. Phys., 2016)

Robust verification analysis. - William J. Rider; Walt Witkowski; James R. Kamm; Tim Wildey (J. Comput. Phys., 2016)

A Generalized Flux-Corrected Transport Algorithm I: A Finite-Difference Formulation. - William J. Rider; Dennis R. Liles (CoRR, 2024)