Piecewise Linear Interpolation

Related lectures (29)

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Explores convection-diffusion equations, focusing on Poincare constant, interpolation error, singular perturbations, and boundary conditions.

Explores splines, emphasizing the least-squares method for interpolating splines and demonstrating its application using MATLAB.

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

Explores signal reconstruction techniques, including polynomial interpolation challenges and the importance of interpolation functions.

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

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

Covers polynomial interpolation, equidistant points, and Lagrange basis in interpolation techniques.

Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.

Covers interpolation in finite element spaces and the regularity of solutions in convex domains.