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工程数值分析概论 (13.002J)

Introduction To Numerical Analysis For Engineering (13.002J)
课程网址: https://ocw.mit.edu/courses/2-993j-introduction-to-numerical-anal...  
主讲教师: Prof. Henrik Schmidt
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:
本课程面向本科生,向学生介绍工程问题数值求解的公式、方法和技术。涵盖的主题包括:数字计算的基本原理及其对算法准确性和稳定性的影响、误差传播和稳定性、线性方程组的求解,包括直接和迭代技术、方程组和方程组的根、数值插值、微分和积分、常微分方程的有限差分解的基础,以及误差和收敛分析。该科目在学期的前半部分教授。 该科目最初在第 13 课程(海洋工程系)中作为 13.002J 提供。2005年,海洋工程成为课程2(机械工程系)的一部分,该科目重新编号为2.993J。
课程简介: This course is offered to undergraduates and introduces students to the formulation, methodology, and techniques for numerical solution of engineering problems. Topics covered include: fundamental principles of digital computing and the implications for algorithm accuracy and stability, error propagation and stability, the solution of systems of linear equations, including direct and iterative techniques, roots of equations and systems of equations, numerical interpolation, differentiation and integration, fundamentals of finite-difference solutions to ordinary differential equations, and error and convergence analysis. The subject is taught the first half of the term. This subject was originally offered in Course 13 (Department of Ocean Engineering) as 13.002J. In 2005, ocean engineering became part of Course 2 (Department of Mechanical Engineering), and this subject was renumbered 2.993J.  
关 键 词: 数值求解; 误差传播; 线性方程组
课程来源: 麻省理工学院公开课
数据采集: 2024-06-04:chenjy
最后编审: 2024-06-04:chenjy
阅读次数: 6