Piecewise Polynomial Interpolation: Splines

Related lectures (30)

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Covers Lagrange interpolation using intervals to find accurate polynomial approximations.

Explores numerical differentiation methods and round-off errors in computer computations.

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

Covers the Newton method for finding zeros of functions using data interpolation.

Explores polynomial interpolation for curve fitting, error analysis, and the Runge's phenomenon.

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

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

Explains Lagrange interpolation with M=2, covering base polynomials and linear independence.

Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.

Explores polynomial interpolation, Lagrange polynomials, and the challenges of interpolation methods.