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Last updated:

December 24, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

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Description

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

Course Curriculum

  • 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

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Massachusetts Institute of Technology
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