Lectures related to Hydrodynamic Models: Machine Learning for Kinetic Equations

Molecular dynamics under constraints

Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.

Verification and validation

Covers the verification and validation process in numerical flow simulation, ensuring credibility of simulation outcomes.

Collisionless Systems Equilibrium

Explores collisionless systems equilibrium, anisotropic distribution functions, Jeans Equations, and models with finite potential.

Numerical Methods in Biomechanics: Hip-A

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.

Computational Science and Engineering: Master Program Overview

Outlines the Master in Computational Science and Engineering program at EPFL, detailing its structure, projects, and career opportunities for graduates.

Ewald Summation: Long-Range Interaction and Self-Interaction Correction

Explains Ewald summation, self-interaction correction, and short-range interaction calculations.

Astrophysical Fluids & Plasmas

Explores astrophysical fluids, plasmas, MHD, turbulence, and plasma oscillations, including Faraday rotation for measuring cosmic magnetic fields.

Continuum Mechanics: Conservation Laws, Tensor Objects, and Fluid Dynamics

Covers conservation laws, tensor objects, and fluid dynamics in Continuum Mechanics.

Numerical Methods for Boundary Value Problems

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Numerical Methods: Boundary Value Problems

Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.

Time Integration: Unsteady Simulation Methods

Explores numerical methods for unsteady flow simulation, emphasizing time integration techniques and boundedness criteria.

Dynamics of Pendulum: Equilibrium and Kinetic Energy

Explores the dynamics of a pendulum, emphasizing equilibrium conditions and kinetic energy calculations for different points.

Numerical Differentiation: Part 1

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Turbulence: Numerical Flow Simulation

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Numerical Methods for Schrödinger Equation

Explores numerical methods for solving the time-dependent Schrödinger equation using grid representation and split-operator algorithms.

Numerical Derivation: Formulas and Approaches

Covers the numerical approach to derivative calculation, focusing on formulas and methods such as fine differences.

Computational Geomechanics: Unconfined Flow

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Other Topics: Techniques for Fluid Interfaces

Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.

Numerical Modelling of the Atmosphere

Focuses on numerical modelling of atmospheric processes to predict weather and climate phenomena, covering key concepts and methods.

Fluid Dynamics: Differential Conservation Laws and Equations

Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.