Lecture

Numerical Integration: Gauss Quadrature

In course

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Description

This lecture covers the Gauss quadrature method for numerical integration, which optimizes the points where the function is evaluated and the corresponding weights. It explains the Gauss-Legendre formula, solving a nonlinear system of equations, and achieving exact solutions for polynomials up to cubic dependency. The lecture also discusses the advantages of Gaussian quadrature over Newton-Cotes integration, emphasizing the adjustment of weights and nodes based on orthogonal polynomials.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_clxdh5p4

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Ontological neighbourhood

Mathematics

Analysis: Numerical analysis

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