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应用于化学工程的数值方法

10.34 Numerical Methods Applied to Chemical Engineering
课程网址: http://ocw.mit.edu/courses/chemical-engineering/10-34-numerical-m...  
主讲教师: Prof. Kenneth Beers
开课单位: 麻省理工学院
开课时间: 2005-01-01
课程语种: 英语
中文简介:
本课程重点介绍现代计算和数学技术在化学工程中的应用。从线性系统作为科学计算的基本计算单元的讨论入手,提出了求解非线性代数方程组、常微分方程组和微分代数系统的方法。概率论及其在物理建模中的应用,包括数据统计分析和参数估计。提出了有限差分法和有限元法将由传输现象得到的偏微分方程转换为离散元分析系统。这些技术的使用将在整个课程的matlabã;‚â;®;计算环境中演示。
课程简介: This course focuses on the use of modern computational and mathematical techniques in chemical engineering. Starting from a discussion of linear systems as the basic computational unit in scientific computing, methods for solving sets of nonlinear algebraic equations, ordinary differential equations, and differential-algebraic (DAE) systems are presented. Probability theory and its use in physical modeling is covered, as is the statistical analysis of data and parameter estimation. The finite difference and finite element techniques are presented for converting the partial differential equations obtained from transport phenomena to DAE systems. The use of these techniques will be demonstrated throughout the course in the MATLAB® computing environment.
关 键 词: 化学工程现代计算技术; 化学工程数学技术; 线性系统; 统计分析
课程来源: 麻省理工学院公开课
最后编审: 2024-06-17:chenjy
阅读次数: 46