/usr/include/dolfin/quadrature/RadauQuadrature.h is in libdolfin1.0-dev 1.0.0-1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 | // Copyright (C) 2003-2009 Anders Logg
//
// This file is part of DOLFIN.
//
// DOLFIN is free software: you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// DOLFIN is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with DOLFIN. If not, see <http://www.gnu.org/licenses/>.
//
// First added: 2003-06-03
// Last changed: 2009-09-08
#ifndef __RADAU_QUADRATURE_H
#define __RADAU_QUADRATURE_H
#include "GaussianQuadrature.h"
namespace dolfin
{
/// Radau (Gauss-Radau) quadrature on the interval [-1,1].
/// The n quadrature points are given by the zeros of
///
/// ( Pn-1(x) + Pn(x) ) / (1+x)
///
/// where Pn is the n:th Legendre polynomial.
///
/// The quadrature points are computed using Newton's method, and
/// the quadrature weights are computed by solving a linear system
/// determined by the condition that Radau quadrature with n points
/// should be exact for polynomials of degree 2n-2.
class RadauQuadrature : public GaussianQuadrature
{
public:
/// Create Radau quadrature with n points
RadauQuadrature(unsigned int n);
/// Return informal string representation (pretty-print)
std::string str(bool verbose) const;
private:
void compute_points();
};
}
#endif
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