Numerical Complex Analysis

Numerical Complex Analysis

This note covers the following topics: Fourier Analysis, Least Squares, Normwise Convergence, The Discrete Fourier Transform, The Fast Fourier Transform, Taylor Series, Contour integration, Laurent series, Chebyshev series, Signal smoothing and root finding, Differentiation and integration, Spectral methods, Ultraspherical spectral methods, Functional analysis, Spectrum, Infinite-dimensional linear algebra, Linear partial differential equations, Laplace's equation, Riemann–Hilbert problems, Matrix-valued Riemann–Hilbert.

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