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In this program

Reaction–diffusion models
Traveling waves
Wave propagation and hyperbolic systems (linear, introduction)
Numerical methods for PDEs
Consistency
Inverse problems for PDEs (introduction)
Multiscale models coupling ODEs and PDEs

Applied PDE and numerical coupling

Multiscale models coupling ODEs and PDEs

Advanced differential equations · Standard syllabus

Topic

Multiscale models coupling ODEs and PDEs

Practice by unit: Applied PDE and numerical coupling

Graduate Advanced Differential Equations — scope drawn from open advanced DE / dynamical systems notes and typical US graduate advanced DE syllabi.

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