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基本数值方法

Essential Numerical Methods
课程网址: https://ocw.mit.edu/courses/22-15-essential-numerical-methods-fal...  
主讲教师: Prof. Ian H. Hutchinson
开课单位: 麻省理工学院
开课时间: 2014-01-01
课程语种: 英语
中文简介:
这个半学期的课程介绍了解决物理问题的计算方法,特别是在核应用中。该课程涵盖粒子轨道的常微分方程和偏微分方程,以及流体、场和粒子守恒问题;它们的表示和有限差分数值近似求解;迭代矩阵反演方法;稳定性、收敛性、准确性和统计性;以及玻尔兹曼方程的粒子表示和求解方法,例如蒙特卡洛和粒子单元技术。
课程简介: This half-semester course introduces computational methods for solving physical problems, especially in nuclear applications. The course covers ordinary and partial differential equations for particle orbit, and fluid, field, and particle conservation problems; their representation and solution by finite difference numerical approximations; iterative matrix inversion methods; stability, convergence, accuracy and statistics; and particle representations of Boltzmann’s equation and methods of solution such as Monte-Carlo and particle-in-cell techniques.
关 键 词: 物理问题; 粒子守恒; 和求解方法
课程来源: 麻省理工学院公开课
数据采集: 2023-10-06:chenjy
最后编审: 2023-10-06:chenjy
阅读次数: 13