Spline Interpolation: Definition and Error Analysis

Related lectures (28)

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Covers piecewise linear and spline interpolation methods, stability, convergence, and data interpolation using splines.

Covers the interpolation of nonlinear functions using Lagrange polynomials and error analysis.

Explores spline interpolation, least-squares approximation, and error analysis in interpolation.

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

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

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

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

Explores error analysis and limitations in interpolation on evenly distributed nodes.

Explores challenges in polynomial approximation, stability issues, and error analysis in numerical differentiation.

Covers polynomial interpolation, error analysis, stability, and piecewise linear interpolation using equally distributed nodes.