Explores Bowie's obscure numerical method for solving ODEs, applying it to the nonlinear pendulum problem with Python code and analysis.
Analyzes the accuracy of a leading eigenvalue approximation for quadratic forms in Gaussian variables, comparing it to traditional methods.
Explains efficient vectorized methods for sampling points from spline curves and 2-sphere splines using linear algebra and caching techniques.
Explains the Bailey-Borwein-Plouffe formula for computing hexadecimal digits of π and provides a Julia implementation.
Explains the Stochastic SVD algorithm, a probabilistic method for fast, approximate matrix decomposition using random projections.
