An energy- and charge-conserving, implicit, electrostatic particle-in-cell algorithm

Iterative methods for linear and nonlinear equations

Choice Reviews Online · 1996 · 2K citations

Natural Sciences, Mathematics, Differential Equations +15

Inexact Newton Methods

Ron S. Dembo, Stanley C. Eisenstat, Trond Steihaug · SIAM Journal on Numerical Analysis · 1982 · 1.6K citations

Computing, Computer Science, Mathematics +13

Exact charge conservation scheme for Particle-in-Cell simulation with an arbitrary form-factor

T. Zh. Esirkepov · Computer Physics Communications · 2001 · 484 citations

Natural Sciences, Physics, Computational Electromagnetics +10

Ultrahigh performance three-dimensional electromagnetic relativistic kinetic plasma simulation

K. J. Bowers, B. J. Albright, L. Yin et al. · Physics of Plasmas · 2008 · 475 citations

Natural Sciences, High-performance Computing, Physics +16

Rigorous charge conservation for local electromagnetic field solvers

John Villasenor, Oscar Buneman · Computer Physics Communications · 1992 · 425 citations

Natural Sciences, Electrical Engineering, Physics +14