ALL YOU NEED IS LOVE

Notes about two dimensional function approximation on squares, based on Alex Townsend’s PhD thesis.

Collect some classic numerical method for Volterra integral equations.

Adcock, Ben, Daan Huybrechs, and Cecile Piret. Stable and accurate least squares radial basis function approximations on bounded domains. SIAM Journal on Numerical Analysis 62.6 (2024): 2698-2718.

John P. Boyd, Fu Yu, Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan–Shepp ridge polynomials, Chebyshev–Fourier Series, cylindrical Robert functions, Bessel–Fourier expansions, square-to-disk conformal mapping and radial basis functions. Journal of Computational Physics, 230.4 (2011).

Nakatsukasa, Yuji, Olivier Sète, and Lloyd N. Trefethen. The AAA algorithm for rational approximation. SIAM Journal on Scientific Computing 40.3 (2018).

Stojimirovic, Tara, and James Bremer. An accelerated frequency-independent solver for oscillatory differential equations. IMA Journal of Numerical Analysis (2026).

Notes about the basic theory of Laplace transform and inversion methods, including numerical techniques for computing them.

An overview of Clenshaw–Curtis and Gauss quadrature methods for numerical integration, as well as the computation of quadrature nodes and weights.

A brief introduction to Clenshaw algorithm for evaluating orthogonal polynomial expansions.

那时候好像永远是夏天，太阳总是有空出来伴随着我。阳光充足，太亮，使得眼前一阵阵发黑。