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The Particle-In-Cell (PIC) method for plasma simulation tracks particle phase space information using particle and grid data structures. High computational costs in 2D and 3D device-scale PIC simulations necessitate parallelization, with…

计算物理 · 物理学 2025-06-27 Libn Varghese , Bhaskar Chaudhury , Miral Shah , Mainak Bandyopadhyay

This work deals with the numerical approximation of plasmas which are confined by the effect of a fast oscillating magnetic field (see \cite{Bostan2012}) in the Vlasov model. The presence of this magnetic field induces oscillations (in…

数值分析 · 数学 2024-11-08 Megala Anandan , Benjamin Boutin , Nicolas Crouseilles

Semidefinite programming (SDP) is widely acknowledged as one of the most effective methods for deriving the tightest lower bounds of the optimal power flow (OPF) problems. In this paper, an enhanced semidefinite relaxation model that…

系统与控制 · 电气工程与系统科学 2024-10-01 Zhaojun Ruan , Libao Shi

The paper presents a 1D2V electrostatic PIC model with a drift-kinetic description of all particle types aiming at simulating classical longitudinal plasma transport in axially symmetric open traps. The model generalizes the semi-implicit…

等离子体物理 · 物理学 2026-02-03 V. V. Glinskiy , I. V. Timofeev , V. V. Prikhodko

The Super Proton Synchrotron (SPS) injection system plays a fundamental role to preserve the quality of injected high-brightness beams for the Large Hadron Collider (LHC) physics program and to maintain the maximum storable intensity. The…

We derive an equation for energy transfer from relativistic charged particles to a cold background plasma appropriate for finite-size particles that are used in particle-in-cell simulation codes. Expressions for one-, two-, and…

等离子体物理 · 物理学 2015-06-18 Josh May , John Tonge , Warren B. Mori , Frederico Fiúza , Ricardo A. Fonseca , Luís O. Silva , Chuang Ren

A new approach to the kinetic simulation of plasmas in complex geometries, based on the Particle-in- Cell (PIC) simulation method, is explored. In the two dimensional (2d) electrostatic version of our method, called the Arbitrary…

等离子体物理 · 物理学 2015-06-03 C. A. Fichtl , J. M. Finn , K. L. Cartwright

In this paper, we present a new SDC scheme for solving semi-explicit DAEs with the ability to be parallelized in which only the differential equations are numerically integrated is presented. In Shu et al. (2007) it was shown that SDC for…

数值分析 · 数学 2026-01-26 Matthias Bolten , Lisa Wimmer

In recent decades, there have been many attempts to construct symplectic integrators with variable time steps, with rather disappointing results. In this paper we identify the causes for this lack of performance, and find that they fall…

计算物理 · 物理学 2015-05-30 A S Richardson , J M Finn

We present an acceleration method for sequences of large-scale linear systems, such as the ones arising from the numerical solution of time-dependent partial differential equations coupled with algebraic constraints. We discuss different…

数值分析 · 数学 2024-03-29 Margherita Guido , Daniel Kressner , Paolo Ricci

A power system unit commitment (UC) problem considering uncertainties of renewable energy sources is investigated in this paper, through a distributionally robust optimization approach. We assume that the first and second order moments of…

最优化与控制 · 数学 2020-11-17 Xiaodong Zheng , Haoyong Chen , Yan Xu , Zhengmao Li , Zhenjia Lin , Zipeng Liang

Efficient time integration schemes are necessary to capture the complex processes involved in atmospheric flows over long periods of time. In this work, we propose a high-order, implicit-explicit numerical scheme that combines Multi-Level…

数值分析 · 数学 2018-10-22 Francois Hamon , Martin Schreiber , Michael Minion

Limited by the difficulty in acceleration synchronization, it has been a long-term challenge for on-chip dielectric laser-based accelerators (DLA) to bridge the gap between non-relativistic and relativistic regimes. Here, we propose a DLA…

光学 · 物理学 2022-02-02 Lu Wang , Uwe Niedermayer , Jingui Ma , Weihao Liu , Dongfang Zhang , Liejia Qian

The present paper is devoted to the convergence analysis of an asymptotic preserving particle scheme designed to serve as a particle pusher in a Particle-In-Cell (PIC) method for the Vlasov equation with a strong inhomogeneous magnetic…

数值分析 · 数学 2025-12-04 Francis Filbet , L Miguel Rodrigues , Kim Han Trinh

In this paper we develop a novel, discrete-time optimal control framework for mechanical systems with uncertain model parameters. We consider finite-horizon problems where the performance index depends on the statistical moments of the…

最优化与控制 · 数学 2017-05-17 George I. Boutselis , Yunpeng Pan , Gerardo De La Tore , Evangelos A. Theodorou

This study presents an efficient, accurate, effective and unconditionally stable time stepping scheme for the Darcy-Brinkman equations in double-diffusive convection. The stabilization within the proposed method uses the idea of stabilizing…

数值分析 · 数学 2018-04-10 Aytekin Çıbık , Medine Demir , Songul Kaya

The pseudospectrum of a linear time-invariant system is the set in the complex plane consisting of all the roots of the characteristic equation when the system matrices are subjected to all possible perturbations with a given upper bound.…

系统与控制 · 电气工程与系统科学 2020-03-19 Suat Gumussoy , Wim Michiels

A novel time calibration method for waveform sampling application specific integrated circuits (ASICs) based on switched capacitor arrays (SCAs) is proposed in this paper. Precision timing extraction using SCA ASICs has been proved to be a…

仪器与探测器 · 物理学 2019-07-10 Boyu Cheng , Lei Zhao , Jiajun Qin , Han Chen , Yuxiang Guo , Shubin Liu , Qi An

The Particle-in-Cell (PIC) simulation has been a widely used method for studying plasma physics. However, fully three-dimensional PIC simulations always require huge computational resources. For problems with near azimuthal symmetry, recent…

等离子体物理 · 物理学 2024-02-09 Jianzhao Wang , Weiming An , Rong Tang , Weiyu Meng , Jiayong Zhong

Explicit electromagnetic Particle-In-Cell (PIC) codes are typically limited by the Courant- Friedrichs-Lewy (CFL) condition, which implies that the timestep multiplied by the speed of light must be smaller than the smallest cell size. In…

加速器物理 · 物理学 2021-12-08 Olga Shapoval , Remi Lehe , Maxence Thévenet , Edoardo Zoni , Yinjian Zhao , Jean-Luc Vay