Lectures related to Finite Element Analysis

Covers advanced numerical analysis topics including deep neural networks and optimization methods.

Numerical Groundwater Flow Resolution: Finite Elements

Covers the numerical resolution of groundwater flows using finite elements and emphasizes the importance of spatial and temporal discretization.

Finite element methods MOOC: Sorption and transport in cementitious materials

Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.

Interpolation by Intervals: Lagrange Interpolation

Covers Lagrange interpolation using intervals to find accurate polynomial approximations.

Numerical Analysis: Introduction to Computational Methods

Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.

Interpolation de fonction

Explores interpolation of regular functions, error analysis, convergence, and Chebyshev polynomials.

Approximation of Data

Covers the least squares method for approximating data and handling errors.

Deep Learning Modus Operandi

Explores the benefits of deeper networks in deep learning and the importance of over-parameterization and generalization.

Reed Solomon Codes: Basics and Applications

Introduces Reed Solomon Codes, their applications, polynomial definitions, interpolation, roots, and the Fundamental Theorem of Algebra.

Finite Element Method Log in to Mediaspace to watch this video

Covers the Finite Element Method, discussing the derivation of the equation of motion and exploring mass and stiffness matrices.

Finite Element Modeling: Dynamics Log in to Mediaspace to watch this video

Introduces the basics of finite element modeling for dynamics and discusses the Newmark method for time integration.

Finite Element Modeling Log in to Mediaspace to watch this video

Covers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.

Finite Element Analysis Log in to Mediaspace to watch this video

Covers the fundamentals of finite element analysis, including traction and interpolation functions.

Structural Analysis: Trusses Log in to Mediaspace to watch this video

Covers the analysis of trusses, defining node positions, connectivity matrices, and stiffness matrices.

Numerical Analysis: Interpolation and Approximation Log in to Mediaspace to watch this video

Covers linear systems, non-linear equations, and interpolation for numerical analysis.

Error Analysis and Interpolation Log in to Mediaspace to watch this video

Explores error analysis and limitations in interpolation on evenly distributed nodes.

Isoparametric Formulation of Quad4 Element Log in to Mediaspace to watch this video

Covers the isoparametric formulation of the Quad4 planar element and stiffness matrix calculation.

Numerical Analysis: Jupyter Notebook Tutorial Log in to Mediaspace to watch this video

Covers course organization, Jupyter Notebook for Python experimentation, algorithms, interpolation, solving equations, linear systems, and practical applications.

Iso-parametric Formulation of Quad4 Element Log in to Mediaspace to watch this video

Explains the iso-parametric formulation of the quad4 planar element and the calculation of the stiffness matrix.

Image Processing II Log in to Mediaspace to watch this video

Explores image interpolation, splines, wavelets, and geometric transformations in image processing.