Explores Aitken acceleration for solving Kepler's equation, comparing Peters' 1891 method to Aitken's 1926 series acceleration technique.
Explores the connection between Kepler's equation and Bessel functions, detailing methods to solve for eccentric anomaly.
Explores Baker's method to express complex functions via real-valued functions u and v, with applications in math libraries and pure math.
A mathematical approximation for solving oblique triangles without inverse trig functions, with Python code example.
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.
