## Spectral Methods Notes for BS/MS

Spectral methods (SM) are numerical techniques used to approximate solutions to partial differential equations (PDEs) and other mathematical problems. These methods rely on the properties of the spectral decomposition of certain operators, such as the Laplacian operator, to efficiently compute approximate solutions. Spectral Decomposition: Fourier Series: Chebyshev Polynomials: Galerkin Method: Collocation Method: Spectral Accuracy: Applications: … Read more