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1 - 1 of 1 results for: CME 322: Spectral Methods in Computational Physics

CME 322: Spectral Methods in Computational Physics (ME 408)

Data analysis, spectra and correlations, sampling theorem, nonperiodic data, and windowing; spectral methods for numerical solution of partial differential equations; accuracy and computational cost; fast Fourier transform, Galerkin, collocation, and Tau methods; spectral and pseudospectral methods based on Fourier series and eigenfunctions of singular Sturm-Liouville problems; Chebyshev, Legendre, and Laguerre representations; convergence of eigenfunction expansions; discontinuities and Gibbs phenomenon; aliasing errors and control; efficient implementation of spectral methods; spectral methods for complicated domains; time differencing and numerical stability.
Terms: not given this year, last offered Winter 2019 | Units: 3 | Grading: Letter or Credit/No Credit
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