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15 docs tagged with "polynomial"

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Hexahedron

This module contains routine related to the interpolation over Hexahedron.

Jacobi

Jacobi polynomial of order $n$ is denoted by $P_^{\alpha,\beta}\left(x\right)$. Here $\alpha$ and $\beta$ are parameters of Jacobi polynomial. Note that

PolynomialUtility

PolynomialUtility is collection of modules for constructing shape functions and polynomials.

QuadraturePoint

QuadraturePoint_ data type contains quadrature points and corresponding weight. This data type is helpful in calculating the element shape data and finite element matrix and vector.

RecursiveNode

This module contains methods for constructing the recursive nodes.

Ultraspherical

Jacobi polynomial with $\alpha=\beta>-1$, are called the ultraspherical polynomials or Gegenbauer polynomial. We will denote ultraspherical polynomial by $P_^{\lambda}(x)$ where, $\alpha=\lambda-\frac{1}{2}$. Note that $\lambda>-\frac{1}{2}$.