积分方程（麻省理工学院）][18.307 Integral Equations (MIT)]

积分方程（麻省理工学院） 18.307 Integral Equations (MIT)


课程网址:	http://ocw.mit.edu/courses/mathematics/18-307-integral-equations-...
主讲教师:	Dr. Dionisios Margetis
开课单位:	麻省理工学院
开课时间:	2006-01-01
课程语种:	英语
中文简介:	本课程强调从应用数学角度解决积分方程的概念和技巧。材料选自以下主题：Volterra和Fredholm方程，Fredholm理论，Hilbert-Schmidt定理; Wiener-Hopf方法; Wiener-Hopf方法和偏微分方程; Cauchy型的Hilbert问题和奇异积分方程;逆散射变换;和群论。例子来自流体和固体力学，声学，量子力学和其他应用。
课程简介:	This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications.
关键词:	应用数学; 积分方程; 流体和固体力学; 量子力学
课程来源:	麻省理工学院公开课
最后编审:	2024-05-12：chenjy
阅读次数:	85

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