polynomial.h File Reference

#include <deal.II/base/config.h>
#include <deal.II/base/enable_observer_pointer.h>
#include <deal.II/base/exceptions.h>
#include <deal.II/base/numbers.h>
#include <deal.II/base/point.h>
#include <deal.II/base/types.h>
#include <array>
#include <limits>
#include <memory>
#include <shared_mutex>
#include <vector>

Go to the source code of this file.

Classes
class	Polynomials::Polynomial< number >
class	Polynomials::Monomial< number >
class	Polynomials::LagrangeEquidistant
class	Polynomials::Legendre
class	Polynomials::Lobatto
class	Polynomials::Hierarchical
class	Polynomials::HermiteInterpolation
class	Polynomials::HermiteLikeInterpolation

Namespaces
namespace	Polynomials

Functions
std::vector< Polynomial< double > >	Polynomials::generate_complete_Lagrange_basis (const std::vector< Point< 1 > > &points)
template<typename Number >
Number	Polynomials::jacobi_polynomial_value (const unsigned int degree, const int alpha, const int beta, const Number x, const bool rescale_to_dealii_unit_interval=true)
template<typename Number >
Number	Polynomials::jacobi_polynomial_derivative (const unsigned int degree, const int alpha, const int beta, const Number x, const bool rescale_to_dealii_unit_interval)
template<typename Number >
Number	Polynomials::jacobi_polynomial_kth_derivative (const unsigned int derivative_order, const unsigned int degree, const int alpha, const int beta, const Number x, const bool rescale_to_dealii_unit_interval)
template<typename Number >
std::vector< Number >	Polynomials::jacobi_polynomial_roots (const unsigned int degree, const int alpha, const int beta)
template<typename Number >
Number	Polynomials::jacobi_polynomial_homogenized_value (const unsigned int degree, const int alpha, const int beta, const Number x, const Number s)
template<typename Number >
Number	Polynomials::jacobi_polynomial_homogenized_derivative (const unsigned int order_x, const unsigned int order_s, const unsigned int degree, const int alpha, const int beta, const Number x, const Number s)