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18.311 Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics, including applications from traffic flow, fluids, elasticity, granular flows, etc.
FREE
This course includes
Hours of videos
166 years, 7 months
Units & Quizzes
6
Unlimited Lifetime access
Access on mobile app
Certificate of Completion
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
Course Currilcum
- Conservation Laws in Continuum Modeling Unlimited
- Stability of Numerical Schemes for PDEs Unlimited
- Simplest Car Following Traffic Flow Model Unlimited
- Discrete to Continuum Modeling Unlimited
- Separation of Variables Unlimited
- Various Lecture Notes Unlimited
