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Namespaces | |
| oomph | |
| //////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////// | |
| oomph::Orthpoly | |
Functions | |
| double | oomph::Orthpoly::legendre (const unsigned &p, const double &x) |
Calculates Legendre polynomial of degree p at x using the three term recurrence relation  . More... | |
| void | oomph::Orthpoly::legendre_vector (const unsigned &p, const double &x, Vector< double > &polys) |
| Calculates Legendre polynomial of degree p at x using three term recursive formula. Returns all polynomials up to order p in the vector. More... | |
| double | oomph::Orthpoly::dlegendre (const unsigned &p, const double &x) |
Calculates first derivative of Legendre polynomial of degree p at x using three term recursive formula.  . More... | |
| double | oomph::Orthpoly::ddlegendre (const unsigned &p, const double &x) |
| Calculates second derivative of Legendre polynomial of degree p at x using three term recursive formula. More... | |
| double | oomph::Orthpoly::jacobi (const int &alpha, const int &beta, const unsigned &p, const double &x) |
| Calculate the Jacobi polnomials. More... | |
| void | oomph::Orthpoly::jacobi (const int &alpha, const int &beta, const unsigned &p, const double &x, Vector< double > &polys) |
| Calculate the Jacobi polnomials all in one goe. More... | |
| void | oomph::Orthpoly::gll_nodes (const unsigned &Nnode, Vector< double > &x) |
| Calculates the Gauss Lobatto Legendre abscissas for degree p = NNode-1. More... | |
| void | oomph::Orthpoly::gll_nodes (const unsigned &Nnode, Vector< double > &x, Vector< double > &w) |
| void | oomph::Orthpoly::gl_nodes (const unsigned &Nnode, Vector< double > &x) |
| void | oomph::Orthpoly::gl_nodes (const unsigned &Nnode, Vector< double > &x, Vector< double > &w) |
Variables | |
| const double | oomph::Orthpoly::eps = 1.0e-15 |