ALL YOU NEED IS LOVE

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。

Jacobi matrices represent a cornerstone binding two wings of the same building: One is built from moments, continued fractions, and polynomials, with the purpose of approximating functions and integrals. The other is built from vectors, vector spaces, operators, and matrices with the purpose of matrix computations such as solving linear algebraic systems and approximating eigenvalues.
– Krylov Subspace Methods - Principles and Analysis

USTC 2025 Spring Semester Course Notes for Optimization Algorithms.

USTC 2025 Spring Semester Course Notes for Optimization Algorithms.