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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.
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English
English [CC]
FREE
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Description
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 content
- 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
Instructor
Massachusetts Institute of Technology
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1916
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