5. Newton-Krylov-Schwarz Methods Applied to the Tokamak Edge Plasma Fluid Equations. - Dana A. Knoll; Paul R. McHugh; V. A. Mousseau (Domain-Based Parallelism and Problem Decomposition Methods in Computational Science and Engineering, 1995)

Enhanced Nonlinear Iterative Techniques Applied to a Nonequilibrium Plasma Flow. - Dana A. Knoll; Paul R. McHugh (SIAM J. Sci. Comput., 1998)

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

On Preconditioning Newton-Krylov Methods in Solidifying Flow Applications. - Dana A. Knoll; W. B. VanderHeyden; V. A. Mousseau; Douglas B. Kothe (SIAM J. Sci. Comput., 2001)

Temporal accuracy of the nonequilibrium radiation diffusion equations employing a Saha ionization model. - Rick M. Rauenzahn; V. A. Mousseau; Dana A. Knoll (Comput. Phys. Commun., 2005)

Jacobian-Free Newton-Krylov Methods for the Accurate Time Integration of Stiff Wave Systems. - Dana A. Knoll; V. A. Mousseau; Luis Chacón; John A. Reisner (J. Sci. Comput., 2005)

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)

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)

Numerical analysis of time integration errors for nonequilibrium radiation diffusion. - Dana A. Knoll; Robert B. Lowrie; Jim E. Morel (J. Comput. Phys., 2007)

On physics-based preconditioning of the Navier-Stokes equations. - HyeongKae Park; Robert R. Nourgaliev; Richard C. Martineau; Dana A. Knoll (J. Comput. Phys., 2009)

A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems. - Samet Y. Kadioglu; Dana A. Knoll (J. Comput. Phys., 2010)

A second order self-consistent IMEX method for radiation hydrodynamics. - Samet Y. Kadioglu; Dana A. Knoll; Robert B. Lowrie; Rick M. Rauenzahn (J. Comput. Phys., 2010)

Nonlinear variants of the TR/BDF2 method for thermal radiative diffusion. - Jarrod D. Edwards; Jim E. Morel; Dana A. Knoll (J. Comput. Phys., 2011)

Implementation of the Jacobian-free Newton-Krylov method for solving the first-order ice sheet momentum balance. - Jean-François Lemieux; Stephen F. Price; Katherine J. Evans; Dana A. Knoll; Andrew G. Salinger; David M. Holland; Antony J. Payne (J. Comput. Phys., 2011)

Computational plasma physics. - Barry Koren; Ute Ebert; Tamas I. Gombosi; Hervé Guillard; Rony Keppens; Dana A. Knoll (J. Comput. Phys., 2012)

A comparison of the Jacobian-free Newton-Krylov method and the EVP model for solving the sea ice momentum equation with a viscous-plastic formulation: A serial algorithm study. - Jean-François Lemieux; Dana A. Knoll; L. Bruno Tremblay; David M. Holland; Martin Losch (J. Comput. Phys., 2012)

Physics-Based Preconditioners for Ocean Simulation. - Christopher K. Newman; Dana A. Knoll (SIAM J. Sci. Comput., 2013)

An Efficient and Time Accurate, Moment-Based Scale-Bridging Algorithm for Thermal Radiative Transfer Problems. - HyeongKae Park; Dana A. Knoll; Rick M. Rauenzahn; Christopher K. Newman; Jeffery D. Densmore; Allan B. Wollaber (SIAM J. Sci. Comput., 2013)

Development of a Consistent and Stable Fully Implicit Moment Method for Vlasov-Ampère Particle in Cell (PIC) System. - William T. Taitano; Dana A. Knoll; Luis Chacón; Guangye Chen (SIAM J. Sci. Comput., 2013)

Hybrid Deterministic/Monte Carlo Neutronics. - Jeffrey Willert; C. T. Kelley; Dana A. Knoll; HyeongKae Park (SIAM J. Sci. Comput., 2013)

Computational Co-design of a Multiscale Plasma Application: A Process and Initial Results. - Joshua Payne; Dana A. Knoll; Allen McPherson; William T. Taitano; Luis Chacón; Guangye Chen; Scott Pakin (IPDPS, 2014)

Fluid preconditioning for Newton-Krylov-based, fully implicit, electrostatic particle-in-cell simulations. - Guangye Chen; Luis Chacón; Christopher A. Leibs; Dana A. Knoll; William T. Taitano (J. Comput. Phys., 2014)

A second-order accurate in time IMplicit-EXplicit (IMEX) integration scheme for sea ice dynamics. - Jean-François Lemieux; Dana A. Knoll; Martin Losch; Claude Girard (J. Comput. Phys., 2014)

A comparison of acceleration methods for solving the neutron transport k-eigenvalue problem. - Jeffrey Willert; HyeongKae Park; Dana A. Knoll (J. Comput. Phys., 2014)

Leveraging Anderson Acceleration for improved convergence of iterative solutions to transport systems. - Jeffrey Willert; William T. Taitano; Dana A. Knoll (J. Comput. Phys., 2014)

High-Order/Low-Order Methods for Ocean Modeling. - Christopher K. Newman; Geoff Womeldorff; Luis Chacón; Dana A. Knoll (ICCS, 2015)

Monte Carlo simulation methods in moment-based scale-bridging algorithms for thermal radiative-transfer problems. - Jeffery D. Densmore; HyeongKae Park; Allan B. Wollaber; Rick M. Rauenzahn; Dana A. Knoll (J. Comput. Phys., 2015)

Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov-Fokker-Planck-Ampère system, part II: Collisional aspects. - William T. Taitano; Dana A. Knoll; Luis Chacón (J. Comput. Phys., 2015)

A communication-avoiding implicit-explicit method for a free-surface ocean model. - Christopher K. Newman; Geoffrey Womeldorff; Dana A. Knoll; Luis Chacón (J. Comput. Phys., 2016)

Multiscale high-order/low-order (HOLO) algorithms and applications. - Luis Chacón; Guangye Chen; Dana A. Knoll; Christopher K. Newman; HyeongKae Park; William T. Taitano; Jeffrey Willert; Geoffrey Womeldorff (J. Comput. Phys., 2017)