# Symmetric gaussian quadrature formulae for tetrahedronal regions

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Numerical integration is the study of how the numerical value of an integral can be found. This book contains six chapters and begins with a discussion of the basic principles and limitations of numerical integration. The succeeding chapters present the approximate integration rules and formulas over finite and infinite intervals.theorem then we have applied the Generalised Gaussian quadrature rules over a circle region to evaluate the typical volume integrals over the spherical region with various values of 𝑎. The efficacy of this method is finally shown by numerical examples. Index Terms— Finite element method , Generalised Gaussian Quadrature , spherical region. Gaussian Quadrature Rule for Triangle and Tetrahedron. Gaussian Quadrature rule for Triangle and Tetrahedron Qikun Wu, Liuxing Shen Introduction We demonstrate the position of the Gaussian points in 2D and 3D case, and finished task 2. 1. two dimension case in two dimension case, we will talk about square and triangle.