Interpolation of a Continuous Function

Related lectures (31)

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

Introduces nonlinear equations and polynomial interpolation for curve fitting.

Covers weak derivatives, interpolation spaces, and continuity in function spaces.

Provides an overview of polynomial interpolation techniques in numerical analysis, focusing on Lagrange interpolation and error estimation methods.

Explains constructing a continuous interpolating function coinciding with the original function at equidistant points.

Covers the integration of limit expansions and continuous functions by pieces.

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

Explores constructing a piecewise continuous function using degree 2 interpolation by intervals.

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

Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.