Vandermonde Matrix: Polynomial Interpolation

Related lectures (30)

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Covers Lagrange interpolation as a unique polynomial of degree 2N through 2N + 1 points.

Explores systems of non-linear equations and polynomial interpolation, including the Newton method and Vandermonde matrix construction.

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.

Explores polynomial interpolation theory, emphasizing error expression and piecewise definition.

Covers the concept of piecewise linear interpolation and the importance of dividing intervals correctly.

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

Covers the Lagrange polynomial interpolation method and error analysis in function approximation.

Explores Lagrange interpolation for polynomial construction and introduces the definite integral.