Lectures related to Polynomial Approximation: Stability and Error Analysis

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

Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.

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

Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.

Covers the least squares method for approximating data and handling errors.

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

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

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

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

Introduces numerical integration methods and chemical reaction kinetics principles.

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

Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.

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

Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.

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

Explores numerical differentiation methods and round-off errors in computer computations.

Covers the isoparametric formulation of the Quad4 planar element and stiffness matrix calculation.

Explores interpolation applications in biological tissue and population census data analysis using the method of least squares.

Explores finite element interpolation using the Clément operator for non-continuous functions and discusses error estimation.

Covers numerical differentiation, integration, finite differences, Taylor expansions, and interpolation polynomials.