Jacobian-free Newtonâ€“Krylov (JFNK) methods are synergistic combinations of Newton-type methods for superlinearly convergent solution of nonlinear equations and Krylov subspace methods for solving theâ€¦ (More)

William J. Rider, âˆ— Dana A. Knoll,âˆ— and Gordon L. Olson â€ âˆ—Hydrodynamic Methods Group, Applied Theoretical and Computational Physics Division, Los Alamos National Laboratory, MS D413, Los Alamos, Newâ€¦ (More)

L. ChacÃ³n,âˆ— D. C. Barnes, â€ D. A. Knoll,â€¡ and G. H. Mileyâˆ— âˆ—Fusion Studies Laboratory, University of Illinois at Urbana-Champaign, 103 South Goodwin Avenue, Urbana, Illinois 61801;â€ X-PA, Los Alamosâ€¦ (More)

Stiff wave systems are systems which exhibit a slow dynamical time scale while possessing fast wave phenomena. The physical effects of this fast wave may be important to the system, but resolving theâ€¦ (More)

11 Current sea ice models use numerical schemes based on a splitting in time 12 between the momentum and continuity equations. Because the ice strength 13 is explicit when solving the momentumâ€¦ (More)

The coalescence of magnetic islands in the low-resistivity eta, Hall-MHD regime is studied. The interaction between the ion inertial length d(i) and the dynamically evolving current sheet scaleâ€¦ (More)

A recent proof-of-principle study proposes an energy-and charge-conserving, nonlinearly implicit elec-trostatic particle-in-cell (PIC) algorithm in one dimension [Chen et al, The algorithm in theâ€¦ (More)