Mathematical Sciences: The Analysis of Numeral Methods for Solving Vlasov-Poisson System

数学科学：求解Vlasov-Poisson方程组的数值方法分析

• 批准号: 8710292
• 负责人: Harold Victory
• 金额: $ 4.47万
• 依托单位: Texas Tech University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-09-01 至 1990-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8710292&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Analysis; Numeral; Methods

This researh project investigates numerical techniques for solving Vlasov-Poisson systems, including a convergence study of the Lax-Wendroff method for one dimensional problems and a comparison with simulation or particle-in-cell methods. A Vlasov-Poisson system typically consists of a hyperbolic conservation law coupled with the Poisson equation. The research results are expected to have applications in stellar dynamics and in plasma physical settings.

这个研究项目研究数字技术 求解Vlasov-Poisson系统，包括收敛性 一维问题的Lax-Wendroff方法研究 以及与模拟或粒子细胞方法的比较。 Vlasov-Poisson系统通常由双曲型 守恒定律与泊松方程相结合。 研究成果有望得到应用 在恒星动力学和等离子体物理环境中。