This is currently a Fluid Simulation made as a hobby project. This was mostly done by myself but the math for solving the Navier Stokes Equations came from Nividia GPU Gems since I am not educated enough for these subjects.

Algorithms of computational math: Legendre polynomial; Gauss method; Cholesky method; Method of Squares; Newton interpolation; Inverse Gauss method; Interpolation by cubic splines; Gauss Zeidel method; Jacobi method; Eigenvalues; Euler method; Left/Right rectangle method; Simpson method; The method of dividing a segment in half; Newton's method;

Parallel implementation of Jacobi method using the higher-order functions Map and Reduce

Serial and Parallel numerical methods for solving partial differential equations using finite differences with OpenMP. Implementation of the serial and parallel Jacobi and Gauss-Seidel methods for solving linear systems. Implementation of the Additive Schwarz and Restricted Additive Schwarz methods for domain decomposition.

C++ implementation of several mathematical techniques for solving large hollow systems

Laboratory assignments on parallel programming at NSU.

Masterarbeit

Parallel implementation of Jacobi method using the higher-order functions Map

Concurrent partial differential equation solver

Résolution numérique parallèle d’un problème stationnaire sur un domaine discret. Il se concentre sur la mise en œuvre de méthodes itératives parallélisées de type Jacobi et Gradient Conjugué pour résoudre des systèmes linéaires dérivés d’une discrétisation par éléments finis.