应用数学原理Principles Of Applied Mathematics |
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课程网址: | https://ocw.mit.edu/courses/18-311-principles-of-applied-mathemat... |
主讲教师: | Prof. Rodolfo Rosales |
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: | 18.311 连续应用数学原理涵盖连续应用数学的基本概念,包括交通流、流体、弹性、颗粒流等的应用。该类还涵盖连续体极限;守恒定律,准平衡;运动波;特性,简单的波浪,冲击;扩散(线性和非线性);波动方程的数值解;有限差异、一致性、稳定性;离散和快速傅里叶变换;光谱法;变换和级数(傅里叶、拉普拉斯)。其他主题可能包括音爆、马赫锥、焦散、晶格、色散和群速度。 |
课程简介: | 18.311 Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics, including applications from traffic flow, fluids, elasticity, granular flows, etc. The class also covers continuum limit; conservation laws, quasi-equilibrium; kinematic waves; characteristics, simple waves, shocks; diffusion (linear and nonlinear); numerical solution of wave equations; finite differences, consistency, stability; discrete and fast Fourier transforms; spectral methods; transforms and series (Fourier, Laplace). Additional topics may include sonic booms, Mach cone, caustics, lattices, dispersion, and group velocity. |
关 键 词: | 应用数学; 基本概念; 守恒定律 |
课程来源: | 麻省理工学院公开课 |
数据采集: | 2024-02-06:chenjy |
最后编审: | 2024-02-06:chenjy |
阅读次数: | 8 |