Introduction to Spectral Methods for Partial Differential Equations

Автор: ignite.byu.edu

Загружено: 2021-05-07

Просмотров: 18588

Описание: Introducing spectral methods for solving one-dimensional PDEs with periodic boundary conditions. In particular, the pseudo-spectral method is demonstrated for the one-dimensional wave equation, and the viscous Burgers' equation using Python. Comparison between the spectral method and finite difference method is shown for varying numbers of grid points.

Here's a link to the Jupyter notebook. This has been updated (some comments noted a broken link).
https://nbviewer.jupyter.org/url/igni...

More comprehensive notes on both Fourier and Chebyshev pseudospectral methods are at https://ignite.byu.edu/spectral.

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Introduction to Spectral Methods for Partial Differential Equations

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