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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.

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 $\lambda>-\frac{1}{2}$.