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Nektar++
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#include <LibUtilities/BasicConst/NektarUnivTypeDefs.hpp>#include <LibUtilities/LibUtilitiesDeclspec.h>#include <complex>Go to the source code of this file.
Namespaces | |
| Polylib | |
| The namespace associated with the the Polylib library (Polylib introduction) | |
Macros | |
| #define | H_PLYLIB |
Functions | |
| void | Polylib::zwgj (double *z, double *w, const int np, const double alpha, const double beta) |
| Gauss-Jacobi zeros and weights. More... | |
| void | Polylib::zwgrjm (double *z, double *w, const int np, const double alpha, const double beta) |
| Gauss-Radau-Jacobi zeros and weights with end point at z=-1. More... | |
| void | Polylib::zwgrjp (double *z, double *w, const int np, const double alpha, const double beta) |
| Gauss-Radau-Jacobi zeros and weights with end point at z=1. More... | |
| void | Polylib::zwglj (double *z, double *w, const int np, const double alpha, const double beta) |
| Gauss-Lobatto-Jacobi zeros and weights with end point at z=-1,1. More... | |
| void | Polylib::zwgk (double *z, double *w, const int npt, const double alpha, const double beta) |
| Gauss-Kronrod-Jacobi zeros and weights. More... | |
| void | Polylib::zwrk (double *z, double *w, const int npt, const double alpha, const double beta) |
| Gauss-Radau-Kronrod-Jacobi zeros and weights. More... | |
| void | Polylib::zwlk (double *z, double *w, const int npt, const double alpha, const double beta) |
| Gauss-Lobatto-Kronrod-Jacobi zeros and weights. More... | |
| void | Polylib::JacZeros (const int n, double *a, double *b, const double alpha, const double beta) |
| Zero and Weight determination through the eigenvalues and eigenvectors of a tridiagonal matrix from the three term recurrence relationship. More... | |
| void | Polylib::Dgj (double *D, const double *z, const int np, const double alpha, const double beta) |
| Compute the Derivative Matrix and its transpose associated with the Gauss-Jacobi zeros. More... | |
| void | Polylib::Dgrjm (double *D, const double *z, const int np, const double alpha, const double beta) |
| Compute the Derivative Matrix and its transpose associated with the Gauss-Radau-Jacobi zeros with a zero at z=-1. More... | |
| void | Polylib::Dgrjp (double *D, const double *z, const int np, const double alpha, const double beta) |
| Compute the Derivative Matrix associated with the Gauss-Radau-Jacobi zeros with a zero at z=1. More... | |
| void | Polylib::Dglj (double *D, const double *z, const int np, const double alpha, const double beta) |
| Compute the Derivative Matrix associated with the Gauss-Lobatto-Jacobi zeros. More... | |
| double | Polylib::hgj (const int i, const double z, const double *zgj, const int np, const double alpha, const double beta) |
| Compute the value of the i th Lagrangian interpolant through the np Gauss-Jacobi points zgj at the arbitrary location z. More... | |
| double | Polylib::hgrjm (const int i, const double z, const double *zgrj, const int np, const double alpha, const double beta) |
| Compute the value of the i th Lagrangian interpolant through the np Gauss-Radau-Jacobi points zgrj at the arbitrary location z. This routine assumes zgrj includes the point -1. More... | |
| double | Polylib::hgrjp (const int i, const double z, const double *zgrj, const int np, const double alpha, const double beta) |
| Compute the value of the i th Lagrangian interpolant through the np Gauss-Radau-Jacobi points zgrj at the arbitrary location z. This routine assumes zgrj includes the point +1. More... | |
| double | Polylib::hglj (const int i, const double z, const double *zglj, const int np, const double alpha, const double beta) |
| Compute the value of the i th Lagrangian interpolant through the np Gauss-Lobatto-Jacobi points zgrj at the arbitrary location z. More... | |
| void | Polylib::Imgj (double *im, const double *zgj, const double *zm, const int nz, const int mz, const double alpha, const double beta) |
| Interpolation Operator from Gauss-Jacobi points to an arbitrary distribution at points zm. More... | |
| void | Polylib::Imgrjm (double *im, const double *zgrj, const double *zm, const int nz, const int mz, const double alpha, const double beta) |
| Interpolation Operator from Gauss-Radau-Jacobi points (including z=-1) to an arbitrary distrubtion at points zm. More... | |
| void | Polylib::Imgrjp (double *im, const double *zgrj, const double *zm, const int nz, const int mz, const double alpha, const double beta) |
| Interpolation Operator from Gauss-Radau-Jacobi points (including z=1) to an arbitrary distrubtion at points zm. More... | |
| void | Polylib::Imglj (double *im, const double *zglj, const double *zm, const int nz, const int mz, const double alpha, const double beta) |
| Interpolation Operator from Gauss-Lobatto-Jacobi points to an arbitrary distrubtion at points zm. More... | |
| void | Polylib::jacobfd (const int np, const double *z, double *poly_in, double *polyd, const int n, const double alpha, const double beta) |
| Routine to calculate Jacobi polynomials, \( P^{\alpha,\beta}_n(z) \), and their first derivative, \( \frac{d}{dz} P^{\alpha,\beta}_n(z) \). More... | |
| void | Polylib::jacobd (const int np, const double *z, double *polyd, const int n, const double alpha, const double beta) |
| Calculate the derivative of Jacobi polynomials. More... | |
| std::complex< Nektar::NekDouble > | Polylib::ImagBesselComp (int n, std::complex< Nektar::NekDouble > y) |
| Calcualte the bessel function of the first kind with complex double input y. Taken from Numerical Recipies in C. More... | |
1.9.1