CurvedMesh/html/Polylib_8h_source.html

 #ifndef H_PLYLIB


 #include <LibUtilitiesDeclspec.h>


 /*

  *  LIBRARY ROUTINES FOR POLYNOMIAL CALCULUS AND INTERPOLATION

  */


 namespace Polylib {


     /*-----------------------------------------------------------------------

       M A I N     R O U T I N E S

       -----------------------------------------------------------------------*/


     /* Points and weights */

     LIB_UTILITIES_EXPORT void   zwgj    (double *, double *, const int , const double, const double);

     LIB_UTILITIES_EXPORT void   zwgrjm  (double *, double *, const int , const double, const double);

     LIB_UTILITIES_EXPORT void   zwgrjp  (double *, double *, const int , const double, const double);

     LIB_UTILITIES_EXPORT void   zwglj   (double *, double *, const int , const double, const double);

         LIB_UTILITIES_EXPORT void   zwgk    (double *, double *, const int , const double, const double);

         LIB_UTILITIES_EXPORT void   zwrk    (double *, double *, const int , const double, const double);

         LIB_UTILITIES_EXPORT void   zwlk    (double *, double *, const int , const double, const double);

         LIB_UTILITIES_EXPORT void   JacZeros(const int, double *, double*, const double,const double);


     /* Derivative operators */

     LIB_UTILITIES_EXPORT void   Dgj     (double *, const double *, const int, const double,

                     const double);

     LIB_UTILITIES_EXPORT void   Dgrjm   (double *, const double *, const int, const double,

                     const double);

     LIB_UTILITIES_EXPORT void   Dgrjp   (double *, const double *, const int, const double,

                     const double);

     LIB_UTILITIES_EXPORT void   Dglj    (double *,const double *, const int, const double,

                     const double);


     /* Lagrangian interpolants */

     LIB_UTILITIES_EXPORT double hgj     (const int, const double, const double *, const int,

                     const double, const double);

     LIB_UTILITIES_EXPORT double hgrjm   (const int, const double, const double *, const int,

                     const double, const double);

     LIB_UTILITIES_EXPORT double hgrjp   (const int, const double, const double *, const int,

                     const double, const double);

     LIB_UTILITIES_EXPORT double hglj    (const int, const double, const double *, const int,

                     const double, const double);


     /* Interpolation operators */

     LIB_UTILITIES_EXPORT void  Imgj  (double*, const double*, const double*, const int, const int,

                  const double, const double);

     LIB_UTILITIES_EXPORT void  Imgrjm(double*, const double*, const double*, const int, const int,

                  const double, const double);

     LIB_UTILITIES_EXPORT void  Imgrjp(double*, const double*, const double*, const int, const int,

                  const double, const double);

     LIB_UTILITIES_EXPORT void  Imglj (double*, const double*, const double*, const int, const int,

                  const double, const double);


     /* Polynomial functions */

     LIB_UTILITIES_EXPORT void jacobfd (const int, const double *, double *, double *, const int ,

                   const double, const double);

     LIB_UTILITIES_EXPORT void jacobd  (const int, const double *, double *,  const int ,

                   const double, const double);


 } // end of namespace


 #define H_PLYLIB

 #endif          /* END OF POLYLIB.H DECLARATIONS */


Polylib::Dgrjm
void Dgrjm(double *D, const double *z, const int np, const double alpha, const double beta)
Compute the Derivative Matrix and its transpose associated.
Definition: Polylib.cpp:1018

Polylib::Dgrjp
void Dgrjp(double *D, const double *z, const int np, const double alpha, const double beta)
Compute the Derivative Matrix associated with the.
Definition: Polylib.cpp:1116

Polylib::zwglj
void 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.
Definition: Polylib.cpp:306

Polylib::zwlk
void zwlk(double *z, double *w, const int npt, const double alpha, const double beta)
Gauss-Lobatto-Kronrod-Jacobi zeros and weights.
Definition: Polylib.cpp:706

Polylib::Imglj
void 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.
Definition: Polylib.cpp:1832

Polylib::Imgrjp
void 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.
Definition: Polylib.cpp:1770

Polylib::JacZeros
void 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.
Definition: Polylib.cpp:2384

Polylib::jacobd
void jacobd(const int np, const double *z, double *polyd, const int n, const double alpha, const double beta)
Calculate the derivative of Jacobi polynomials.
Definition: Polylib.cpp:2146

Polylib::hgj
double 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.
Definition: Polylib.cpp:1340

Polylib::zwgk
void zwgk(double *z, double *w, const int npt, const double alpha, const double beta)
Gauss-Kronrod-Jacobi zeros and weights.
Definition: Polylib.cpp:380

Polylib::hgrjp
double 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.
Definition: Polylib.cpp:1500

Polylib::hglj
double 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.
Definition: Polylib.cpp:1584

Polylib::zwgj
void zwgj(double *z, double *w, const int np, const double alpha, const double beta)
Gauss-Jacobi zeros and weights.
Definition: Polylib.cpp:102

Polylib::Imgrjm
void 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.
Definition: Polylib.cpp:1710

Polylib::zwgrjp
void 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.
Definition: Polylib.cpp:234

Polylib::Dglj
void Dglj(double *D, const double *z, const int np, const double alpha, const double beta)
Compute the Derivative Matrix associated with the.
Definition: Polylib.cpp:1216

Polylib::Dgj
void Dgj(double *D, const double *z, const int np, const double alpha, const double beta)
Compute the Derivative Matrix and its transpose associated.
Definition: Polylib.cpp:932

Polylib::zwrk
void zwrk(double *z, double *w, const int npt, const double alpha, const double beta)
Gauss-Radau-Kronrod-Jacobi zeros and weights.
Definition: Polylib.cpp:514

Polylib::hgrjm
double 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.
Definition: Polylib.cpp:1416

Polylib::Imgj
void 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.
Definition: Polylib.cpp:1652

Polylib::zwgrjm
void 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.
Definition: Polylib.cpp:158

Polylib::jacobfd
void 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, , and their first derivative, .
Definition: Polylib.cpp:1946

Polylib
The namespace associated with the the Polylib library (Polylib introduction)
Definition: Polylib.cpp:26