Nonlinear Equations: Interpolation and Error Analysis

Related lectures (30)

Page 3 of 3

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

Covers the basics of numerical analysis, focusing on interpolation methods and their applications in engineering.

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

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

Introduces nonlinear equations and polynomial interpolation for curve fitting.

Covers digital integration, interpolation polynomials, and integration formulas with error analysis.

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

Covers revisions on calculus, derivation rules, interpolation, and tangent vectors.

Covers advanced numerical analysis topics including deep neural networks and optimization methods.

Covers numerical integration techniques, focusing on Lagrange interpolation and various quadrature methods for approximating integrals.