Lectures related to Image Processing II: Polynomial Splines

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

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

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

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

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

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

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

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