TasGrid::OneDimensionalNodes Namespace Reference

Contains algorithms for generating Gauss,Chebyshev, and Fourier nodes and weights. More...

Functions
void	getGaussLegendre (int m, std::vector< double > &w, std::vector< double > &x)
	Generate Gauss-Legendre weights w and points x for (input) number of points m.
void	getChebyshev (int m, std::vector< double > &w, std::vector< double > &x)
	Generate Chebyshev weights w and points x for (input) number of points m.
void	getGaussChebyshev1 (int m, std::vector< double > &w, std::vector< double > &x)
	Generate Gauss-Chebyshev type 1 weights w and points x for (input) number of points m.
void	getGaussChebyshev2 (int m, std::vector< double > &w, std::vector< double > &x)
	Generate Gauss-Chebyshev type 2 weights w and points x for (input) number of points m.
void	getGaussJacobi (int m, std::vector< double > &w, std::vector< double > &x, double alpha, double beta)
	Generate Gauss-Jacobi weights w and points x for (input) number of points m, using parameters alpha and beta.
void	getGaussHermite (int m, std::vector< double > &w, std::vector< double > &x, double alpha)
	Generate Gauss-Hermite weights w and points x for (input) number of points m, using parameters alpha.
void	getGaussLaguerre (int m, std::vector< double > &w, std::vector< double > &x, double alpha)
	Generate Gauss-Laguerre weights w and points x for (input) number of points m, using parameters alpha.
std::vector< double >	getClenshawCurtisNodes (int level)
	Generate Clenshaw-Curtis nodes for the level.
double	getClenshawCurtisWeight (int level, int point)
	Return the Clenshaw-Curtis weight for the level and node indexed by point.
std::vector< double >	getClenshawCurtisNodesZero (int level)
	Generate Clenshaw-Curtis zero-boundary condition nodes for the level.
double	getClenshawCurtisWeightZero (int level, int point)
	Return the Clenshaw-Curtis zero-boundary condition weight for the level and node indexed by point.
std::vector< double >	getFejer2Nodes (int level)
	Generate Fejer type 2 nodes for the level.
double	getFejer2Weight (int level, int point)
	Return the Fejer type 2 weight for the level and node indexed by point.
std::vector< double >	getRLeja (int n)
	Generate the first n R-Leja nodes, starting with 1, -1, 0, ...
std::vector< double >	getRLejaCentered (int n)
	Generate the first n R-Leja nodes, starting with 0, 1, -1, ...
std::vector< double >	getRLejaShifted (int n)
	Generate the first n R-Leja nodes, starting with -0.5, 0.5, ...
std::vector< double >	getFourierNodes (int level)
	Generate the Fourier nodes for the given level, uniformly distributed points with right-most point omitted due to periodicity.

Detailed Description

Contains algorithms for generating Gauss,Chebyshev, and Fourier nodes and weights.