Dr. Jean-Christophe Loiseau

We made it!

Last time, we set out to restore Gauss-Seidel to its rightful place.

Last time, we explored the Gauss-Seidel method.

In a previous post, I went through some details about how one could write an efficient Jacobi solver in modern Fortran to solve the 2D Poisson equation.

Abstract Effective control of fluid flows is critical across transportation, energy and medicine, where it can increase lift, reduce drag, enhance mixing and attenuate noise.

I have been invited to participate in the podcast Paroles d’Arts et Métiers to discuss about my research in fluid dynamics, my experience as a Faculty member at Arts et Métiers and various other topics.

Abstract Direct solvers for linear algebraic systems scale cubically in the problem’s dimension, rapidly becoming intractable for large-scale problems, while sparse factorization may still require quadratic storage du fill-in.

In a previous post, I used the Jacobi method to illustrate some merits of Fortran over Python for teaching purposes.

Disclaimer – This is not a post about which language is the most elegant or which implementation is the fastest (we all know it’s Fortran).

Abstract Automated data-driven modeling, the process of directly discovering the governing equations of a system from data, is increasingly being used across the scientific community.

Abstract The sparse identification of nonlinear dynamics (SINDy) is a recently proposed data-driven modelling framework that uses sparse regression techniques to identify nonlinear low-order models.

Abstract The linear global instability and resulting transition to turbulence induced by an isolated cylindrical roughness element of height and diameter immersed within an incompressible boundary layer flow along a flat plate is investigated using the jo…