Raphaël LECOQ

Welcome to my homepage!

I am mainly interested in modelling through PDEs, their analysis and their simulation. I am also drawn to stochastic modeling, control theory and optimisation.

My scientifics interests include but are not limited to:

Scientific Computing

• Machine Learning
• Reduced order models
• Optimisation under PDE constraints
• Data science for PDEs

Numerical analysis

• Numerical methods (finite elements, finite volumes, discontinuous Galerkin)
• Approximation theory
• ODE and PDEs control
• Stochastic models

Science vulgarization videos I highly recommend to every public:

• [FR] Computing theory: "vas-y, viens, on construit un ordi dans Minecraft"
• [FR] Physics: ScienceEtonnante's channel
  Particularly the following (Biology and Physics): LYFE: la Thermodynamique de la Vie
• [FR] AI: Les LLMs peuvent-ils simuler notre monde ?
• [FR] Fouloscopie's channel
• [FR] The statistics videos of La statistique expliquée à mon chat
• [FR] Statistics and sociology: j'ai fait répondre 12 111 twittos à un questionnaire débile
• [FR] Combinatory and graphs: Il n'existe qu'une seule partie de Morpion.
• [EN] Calculus and AI: 3Blue1Brown's channel
• [EN] EDOs control theory: Giving Personality to Procedural Animations using Math
• [EN] Engineering science channel of TheEfficientEngineer
• [EN] Modeling with Partial differential equations : Simulating the Evolution of Aging.
• [EN] Calculus : Applications of Ellipse: From Medicine to Pool.

I've got a Youtube Channel that sums up some of my extracurriculars activities.