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Lecture
Distribution to Spaces: Interpolation and Continuity
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Interpolation de degré 2 par intervalles
Explores constructing a piecewise continuous function using degree 2 interpolation by intervals.
Examples: Function Spaces
Covers various examples of function spaces and linear applications between them.
Electromagnetic Problems: Well-Posedness and Convergence
Explores the well-posedness and convergence of electromagnetic problems, including continuity interpolation, Darcy's law, and surjectivity properties.
Newton Method: Data Interpolation
Covers the Newton method for finding zeros of functions using data interpolation.
Interpolation de fonction
Explores interpolation of regular functions, error analysis, convergence, and Chebyshev polynomials.
Rigid Displacement
Covers the concept of rigid displacement and potential energy, emphasizing continuity between elements and the importance of conforming to the mesh.
Distribution & Interpolation Spaces
Explores distribution and interpolation spaces, differential operators, Fourier transform, Schwartz space, fundamental solutions, Farrier transform, and uniform continuity.
Interior Regularity Results
Explores interior regularity results, focusing on weak solutions and unique selection in mathematical analysis.
Interpolation of Degree 1 by Intervals
Explains constructing a continuous interpolating function coinciding with the original function at equidistant points.
Distributions & Interpolation Spaces
Covers distributions, interpolation spaces, convergence, and the concept of dual spaces.