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ES_APPM 446-2: Numerical Solution of Partial Differential Equations

Description

Course on using spectral methods to solve partial differential equations. We will cover the exponential convergence of spectral methods for periodic and non-periodic problem, and a general framework to efficiently solve nearly arbitrary PDEs with spectral methods. The course mixes discussion of theoretical aspects of spectral methods with their practical application using Python. The students will learn the algorithms underpinning the Dedalus spectral code, and how to use Dedalus.