Using the Fourier/spectral method to solve PDEs

This post goes into the details of using the Fourier transform, aka the spectral method, to compute derivatives and PDEs. As a bonus, we solve the 2D wave equation.
This post goes into the details of using the Fourier transform, aka the spectral method, to compute derivatives and PDEs. As a bonus, we solve the 2D wave equation.
What is the doomsday algorithm? It’s just modulo 7 applied to the calendar! :)
Can we determine if there is a water leak in my house, based on daily water consumption analysis? We’ll try to answer this question using a bayesian model implemented using pymc.
In this short post, we’re making an animation of image compression based on the normal modes of an acoustic rectangle.
Using shape functions on the triangle, we are showing an elegant way to map from a reference triangle to a target triangle.
A step further towards understanding automatic differentiation, this time with a tiny example of how to apply the reverse mode.
We're examining what happens when a wave hits a boundary normal to its propagation direction.
I’ve been recently brushing up on statistics and have rediscovered an interesting problem I never fully understood: why do we divide by $n-1$ in the unbiased variance estimator?
Cannonball trajectories, analytical solution and numerical integration.
This post is a tutorial on how to use the meshing program GMSH to draw geometry on top of an image in order to produce a mesh with it.