Polynomials Namespace Reference

Classes
class	HermiteInterpolation
class	Hierarchical
class	LagrangeEquidistant
class	Legendre
class	Lobatto
class	Monomial
class	PiecewisePolynomial
class	Polynomial

Functions
std::vector< Polynomial< double > >	generate_complete_Lagrange_basis (const std::vector< Point< 1 > > &points)
std::vector< PiecewisePolynomial< double > >	generate_complete_Lagrange_basis_on_subdivisions (const unsigned int n_subdivisions, const unsigned int base_degree)

Detailed Description

A namespace in which classes relating to the description of 1d polynomial spaces are declared.

Function Documentation

generate_complete_Lagrange_basis()

std::vector< Polynomial< double > > Polynomials::generate_complete_Lagrange_basis

(

const std::vector< Point< 1 > > &

points

)

Given a set of points along the real axis, this function returns all Lagrange polynomials for interpolation of these points. The number of polynomials is equal to the number of points and the maximum degree is one less.

Definition at line 829 of file polynomial.cc.

generate_complete_Lagrange_basis_on_subdivisions()

std::vector< PiecewisePolynomial< double > > Polynomials::generate_complete_Lagrange_basis_on_subdivisions	(	const unsigned int	n_subdivisions,
		const unsigned int	base_degree
	)

Generates a complete Lagrange basis on a subdivision of the unit interval in smaller intervals for a given degree on the subintervals and number of intervals.

Definition at line 123 of file polynomials_piecewise.cc.