trapezoidal method, waves, Fourier transform

An introduction to studying linear surface waves on an infinite domain. In particular, the problem of finding the time evolution of a small perturbation of the surface of an inviscid and incompressible fluid.

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

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

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

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

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

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.