首页自然科学
   首页数学
0


应用数学原理

Principles Of Applied Mathematics
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