It takes its name from Ludwig Boltzmann, as it uses a lattice Boltzmann method as a basis for numerical solution of the Navier Stokes equations for hydrodynamics. It typically combines hydrodynamics ...

In 1900, at the grand amphitheater of the Sorbonne in Paris, David Hilbert stood before a crowd of mathematicians and ...

Turbulence is a notoriously difficult phenomenon to study. Mathematicians are now starting to untangle it at its smallest ...

A mathematician and a computer scientist have just solved an "impossible" equation that has been considered unsolvable for ...

Finite element methods for approximating partial differential equations that arise in science and engineering analysis find widespread application. Numerical analysis tools make the solutions of ...

The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both ...

This project implements a real-time fluid simulation using Navier-Stokes equations. The simulation models fluid behavior, including density diffusion, advection, and velocity updates, creating ...

In addition, the subject also includes verification and software testing for these numerical methods. you´ll know some of the most common differential equations. you´ll have mastered the basic steps ...