119 citations · 178 across the 7 of their papers we have counts for
8 papers
Analysis of grid instabilities in particle-in-cell codes based on a meshfree approach
J. M. Finn, E. G. Evstatiev
A new method of analyzing grid, or aliasing, instabilities is described, in particle-in-cell (PIC) codes for plasma kinetic theory. It starts with a meshfree approach with …
Noise and error analysis and optimization in particle-based kinetic plasma simulations
E. G. Evstatiev, J. M. Finn, B. A. Shadwick +1
We analyze the noise in macro-particle methods used in plasma physics and fluid dynamics, leading to approaches for minimizing the total error, focusing on electrostatic models in…
Application of the phase space action principle to finite-size particle plasma simulations in the drift-kinetic approximation
E. G. Evstatiev
We formulate a finite-size particle numerical model of strongly magnetized plasmas in the drift-kinetic approximation. We use the phase space action as an alternative to previous v…
Variational Formulation of Macro-Particle Models for Electromagnetic Plasma Simulations
A. B. Stamm, B. A. Shadwick, E. G. Evstatiev
A variational method is used to derive a self-consistent macro-particle model for relativistic electromagnetic kinetic plasma simulations. Extending earlier work [E. G. Evstatiev a…
Variational formulation of particle algorithms for kinetic plasma simulations
E. G. Evstatiev, B. A. Shadwick
Common time-explicit numerical methods for kinetic simulations of plasmas in the low-collisions limit fall into two classes of algorithms: momentum conserving and energy conserving…
The complex Toda chains and the simple Lie algebras - solutions and large time asymptotics -- II
V. S. Gerdjikov, E. G. Evstatiev, R. I. Ivanov
We propose a compact and explicit expression for the solutions of the complex Toda chains related to the classical series of simple Lie algebras g. The solutions are parametrized b…
The Complex Toda Chains and the Simple Lie Algebras - Solutions and Large Time Asymptotics
V. S. Gerdjikov, E. G. Evstatiev, R. I. Ivanov
The asymptotic regimes of the N-site complex Toda chain (CTC) with fixed ends related to the classical series of simple Lie algebras are classified. It is shown that the CTC models…
Criterion and Regions of Stability for Quasi-Equidistant Soliton Trains
V. S. Gerdjikov, E. G. Evstatiev, D. J. Kaup +2
Using the complex Toda chain (CTC) as a model for the propagation of the N-soliton pulse trains of the nonlinear Schrodinger (NLS) equation, we predict the asymptotic behavior of t…