eigenenergy, eigenstate, schrödinger equation, waves, spin, hemmer

Solving the time independent Schrödinger equation in one dimension using matrix diagonalisation for five different potentials.

sound filtering, beat, nyquist-shannon sampling theorem, discrete fourier transform, music

Programming with sounds and using Fourier transforms to filter sound signals.

euler, eigenvalue, poisson's equation, integration, interpolation, newton, simpson's method

Analyzing sloshing using a numerical approach based on a linear model, which reduces the problem to a Steklov eigenvalue problem.

speed of sound, doppler, discrete fourier transform

Calculating the speed of a passing train by Fourier analysis of the corresponding sound file.