Stojimirovic, Tara, and James Bremer. An accelerated frequency-independent solver for oscillatory differential equations. IMA Journal of Numerical Analysis (2026).
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Laplace Transform and its Inversion
Notes about the basic theory of Laplace transform and inversion methods, including numerical techniques for computing them.
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Clenshaw–Curtis & Gauss Quadrature
An overview of Clenshaw–Curtis and Gauss quadrature methods for numerical integration, as well as the computation of quadrature nodes and weights.
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Clenshaw Algorithm
A brief introduction to Clenshaw algorithm for evaluating orthogonal polynomial expansions.
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动物凶猛
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。
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Jacobi Matrices
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 -
Optimization Algorithms - Dual Algorithms & ALM & ADMM & BCD
USTC 2025 Spring Semester Course Notes for Optimization Algorithms.
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Optimization Algorithms - Newton's Methods
USTC 2025 Spring Semester Course Notes for Optimization Algorithms.
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Optimization Algorithms - Gradient Methods
USTC 2025 Spring Semester Course Notes for Optimization Algorithms.
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Basic Theory of Optimization Algorithms
USTC 2025 Spring Semester Course Notes for Optimization Algorithms.