Module spectral_methods 

Spectral methods for numerical analysis and physics simulations.

Provides Chebyshev and Legendre polynomial evaluation, Gauss quadrature nodes and weights, Cooley-Tukey FFT/IFFT, pseudo-spectral differentiation, Chebyshev collocation for 1D boundary value problems, and Haar wavelet multi-level decomposition/reconstruction.

Structs

ChebyshevCollocation

Chebyshev collocation method for 1D boundary value problems.

ChebyshevPolynomial

Chebyshev polynomials of the first kind: T_n(x).

FourierSeries

Discrete Fourier Transform and spectral utilities.

LegendrePolynomial

Legendre polynomials P_n(x) and Gauss-Legendre quadrature.

SpectralDiff

Pseudo-spectral differentiation and related operations.

WaveletTransform

Haar wavelet multi-level decomposition and reconstruction.