IFEM-2/Legendre_8h_source.html

// $Id$

//==============================================================================

//==============================================================================


#ifndef _LEGENDRE_H

#define _LEGENDRE_H


#include "matrix.h"


namespace Legendre

{

  bool GL(std::vector<Real>& weights, std::vector<Real>& points, int n);


  bool GLL(std::vector<Real>& weights, std::vector<Real>& points, int n);


  bool eval(int n, Real x, Real& retval);


  bool derEval(int n, Real x, Real& retval);


  bool basisDerivatives(int n, utl::matrix<Real>& der);

}


#endif

Real
#define Real
The floating point type to use.
Definition ImmersedBoundaries.h:18

Legendre::GLL
bool GLL(std::vector< Real > &weights, std::vector< Real > &points, int n)
Get Gauss-Lobatto-Legendre points and weights in the domain [-1,1].
Definition Legendre.C:56

Legendre::eval
bool eval(int n, Real x, Real &retval)
Evaluates the n-th Legendre polynomial.
Definition Legendre.C:107

Legendre::derEval
bool derEval(int n, Real x, Real &retval)
Evaluates the first derivative of the n-th Legendre polynomial.
Definition Legendre.C:134

Legendre::basisDerivatives
bool basisDerivatives(int n, utl::matrix< Real > &der)
Evaluates first derivatives of the n one-dimensional Lagrange interpolation polynomials through n GLL...
Definition Legendre.C:167

Legendre::GL
bool GL(std::vector< Real > &weights, std::vector< Real > &points, int n)
Get Gauss-Legendre points and weights in the domain [-1,1].
Definition Legendre.C:18

utl::matrix
Two-dimensional rectangular matrix with some algebraic operations.
Definition matrix.h:456

matrix.h
Simple template classes for dense rectangular matrices and vectors.