Building simulations for partial differential equations (PDEs) often requires specialized tools. The dealii library offers a robust and open-source C++ solution for finite element computations.
Category: Mathematics
![Sobolev Embedding Theorem Sobolev Embedding Theorem](https://raw.githubusercontent.com/Numeryst/numeryst.com/main/featured-images/6-5-2024/Sobolev-Embedding-Theorem.jpg)
The Sobolev embedding theorem is a fundamental result in function space theory. It concerns the inclusion of Sobolev spaces into spaces of continuous or Hölder
![Gibbs Sampling: An Introduction with Python Implementation Gibbs Sampling: An Introduction with Python Implementation](https://raw.githubusercontent.com/Numeryst/numeryst.com/main/featured-images/6-5-2024/gibbs-sampler.jpg)
Introduction Gibbs sampling is a Markov chain Monte Carlo (MCMC) algorithm used for generating samples from a complex distribution. It is a powerful tool used
![Difference Between Supremum and Essential Supremum Difference Between Supremum and Essential Supremum](https://raw.githubusercontent.com/Numeryst/numeryst.com/main/featured-images/6-5-2024/supremum-and-essential-supremum.jpg)
In this blog post, I explain the difference between essential supremum and supremum concepts without the prerequisite of knowing measure theory. In mathematics, ess sup