Polynomial Approximation: Stability and Error Analysis

Related lectures (28)

Page 3 of 3

Explores numerical differentiation using finite differences and addresses the impact of errors in computer computations.

Explores backward and central differences for numerical differentiation, analyzing their properties and error analysis.

Explains the iso-parametric formulation of the quad4 planar element and the calculation of the stiffness matrix.

Covers Lagrange interpolation using intervals to find accurate polynomial approximations.

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

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

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

Covers quadrature methods, focusing on composite and non-composite techniques, their formulas, and practical applications in integration.