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ACM/IDS 180 ab
Multiscale Modeling
12 units (3-0-9)  | first, third terms
Prerequisites: CMS 107, CMS 117 or explicit email permission from instructor.

Part a: Multiscale methodology for partial differential equations (PDEs) and for stochastic differential equations (SDEs). Basic theory of underlying PDEs; basic theory of Gaussian processes; basic theory of SDEs; multiscale expansions. Part b: Transition from quantum to continuum modeling of materials. Schrodinger equation and semi-classical limit; molecular dynamics and kinetic theory; kinetic theory, Boltzmann equation and continuum mechanics. Not offered 2023-24.

Instructor: Stuart