Donald Samuels, Ian Stobert
SPIE Photomask Technology + EUV Lithography 2007
The approximate recurrence of the initial state, observed recently in the numerical solution of Vlasov's equation by a finite-difference Eulerian model, is shown to be a property of three independent numerical methods. Some of the methods have exponentially growing modes (Dawson's beaming instabilities), and some others do not. The recurrence is in fact a manifestation of the finite velocity resolution of the numerical methods-a property which is independent of the approximation of a plasma by a finite number of electron beams. The recurrence is shown explicitly in the numerical simulation of Landau damping by three different methods: Fourier-Hermite, the recent variational method of Lewis, and the Eulerian finite-difference method. © 1974.
Donald Samuels, Ian Stobert
SPIE Photomask Technology + EUV Lithography 2007
Charles A Micchelli
Journal of Approximation Theory
Mario Blaum, John L. Fan, et al.
IEEE International Symposium on Information Theory - Proceedings
Daniel J. Costello Jr., Pierre R. Chevillat, et al.
ISIT 1997