Vector Preconditioned s-Step Methods on the IBM 3090/6005/6VF. - Anthony T. Chronopoulos; Michael Pernice (PP, 1991)

NITSOL: A Newton Iterative Solver for Nonlinear Systems. - Michael Pernice; Homer F. Walker (SIAM J. Sci. Comput., 1998)

A Multigrid-Preconditioned Newton-Krylov Method for the Incompressible Navier-Stokes Equations. - Michael Pernice; Michael D. Tocci (SIAM J. Sci. Comput., 2001)

Development of a 2-D algorithm to simulate convection and phase transition efficiently. - Katherine J. Evans; Dana A. Knoll; Michael Pernice (J. Comput. Phys., 2006)

Solution of Equilibrium Radiation Diffusion Problems Using Implicit Adaptive Mesh Refinement. - Michael Pernice; Bobby Philip (SIAM J. Sci. Comput., 2006)

Enhanced algorithm efficiency for phase change convection using a multigrid preconditioner with a SIMPLE smoother. - Katherine J. Evans; Dana A. Knoll; Michael Pernice (J. Comput. Phys., 2007)

Implicit adaptive mesh refinement for 2D reduced resistive magnetohydrodynamics. - Bobby Philip; Luis Chacón; Michael Pernice (J. Comput. Phys., 2008)

A posteriori error analysis of a cell-centered finite volume method for semilinear elliptic problems. - Donald J. Estep; Michael Pernice; Du Pham; Simon Tavener; Haiying Wang (J. Comput. Appl. Math., 2009)

Multiphysics simulations: Challenges and opportunities. - David E. Keyes; Lois C. McInnes; Carol S. Woodward; William Gropp; Eric Myra; Michael Pernice; John B. Bell; Jed Brown; Alain Clo; Jeffrey M. Connors; Emil M. Constantinescu; Donald J. Estep; et al. (Int. J. High Perform. Comput. Appl., 2013)

Dynamic implicit 3D adaptive mesh refinement for non-equilibrium radiation diffusion. - Bobby Philip; Z. Wang; Mark A. Berrill; Manuel Birke; Michael Pernice (J. Comput. Phys., 2014)