Introduction to pseudospectral methods [2/8], Fourier modes скачать в хорошем качестве

Introduction to pseudospectral methods [2/8], Fourier modes

An introduction to pseudospectral methods Link to presentation: https://ignite.byu.edu/spectral_prese... Link to notes: https://ignite.byu.edu/spectral Link to Github (notes and presentation): https://github.com/byu-books/spectral Part 1/8 Introduction:    • Introduction to pseudospectral methods [1/...   Part 2/8: Fourier modes:    • Introduction to pseudospectral methods [2/...   Part 3/8: DFT/IDFT:    • Introduction to pseudospectral methods [3/...   Part 4/8: 2D DFT/IDFT:    • Introduction to pseudospectral methods [4/...   Part 5/8: Chebyshev polynomials:    • Introduction to pseudospectral methods [5/...   Part 6/8: Chebyshev interpolation:    • Introduction to psuedospectral methods [6/...   Part 7/8: Chebyshev derivatives, examples:    • Introduction to psuedospectral methods [7/...   Part 8/8: 2D Chebyshev, notes:    • Introduction to psuedospectral methods [8/...   Spectral methods can be hard to learn. These videos present an introduction to the derivation and application of the methods for both Fourier and Chebyshev basis functions applicable to periodic and nonperiodic boundary conditions (including Dirichlet, Neumann, and Robin conditions). The focus is on the solution of PDEs, especially parabolic PDEs with time variations for which the method of lines is applied. Examples in one and two dimensions are given. References: Boyd, "Chebyshev and Fourier Spectral Methods" 2nd edition, Trefethen, "Spectral Methods in Matlab"