Weekly plans and update for week 47

Hi all, we hope you are ding well in these difficult times.

Here comes our weekly update with plans for this week and next week.

First, labs again, we keep the in-person labs open tomorrow and Friday. We have a digital lab tomorrow from 4pm to 6pm and keep the digital lab on Friday open from 10am to 6pm (use the link for lab 9, the digital one).

Last week we almost ended our Monte Carlo discussions. We discussed some of the statistics which is needed to better understand how we can determine that a random number generator is a good one or not. We discussed the covariance and the derived the central limit theorem (see the lecture notes section 11.2, https://github.com/CompPhysics/ComputationalPhysics/blob/master/doc/Lectures/lectures2015.pdf)

On Thursday, we wrap up the Monte Carlo part by discussing how to generate random numbers. This is discussed in section 11.3 of the lecture notes.

Thereafter we begin with our last topic, partial differential equations (PDEs). Here we will focus on the diffusion equation in 1 and 2 dimensions, the Poisson and Laplace equations in two dimensions and the wave equation in 1, 2 and 3 dimensions. This material is discussed in sections 10.2-10.4 of the lecture notes, see also the slides on PDEs, see http://compphysics.github.io/ComputationalPhysics/doc/pub/pde/html/pde-reveal.html

Tomorrow we start with the diffusion equation and will discuss this on Friday as well. This is covered by sections 10.2 and 10.3.

Feedback to project 3 is being uploaded to canvas. let us know if something is unclear or missing.

Stay healthy and best wishes to you all,

Anders, Aksel, Kaspara, Maria, Morten, Rene and Sebastian