Recent Posts

Newton-Gregory Interpolation

7 minute read

Interpolate equally-spaced data efficiently and discover its connection to Taylor series.

BKM

7 minute read

Compute logarithms and exponentials without a floating point unit.

CORDIC

12 minute read

Compute sine, cosine, and exponentials using only addition, subtraction, and bit shifts.

The AAA Algorithm

9 minute read

Fit rational functions to data with poles and discontinuities where polynomials fail.

Tanhsinh Quadrature

8 minute read

Tackle tricky integrals with endpoint singularities using a clever variable transformation.

Lagrange Interpolation

5 minute read

Approximate functions using polynomial interpolation without solving linear systems.

Lagrange Duality

8 minute read

Derive and interpret the dual form of an optimization problem.

Plotting Ellipses

6 minute read

Plot ellipses using conic, quadratic, and parametric representations.