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Reference documentation for deal.II version 9.6.0
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#include <deal.II/base/quadrature_lib.h>
Public Member Functions | |
QGaussLog (const unsigned int n, const bool revert=false) | |
QGaussLog (const unsigned int n, const bool revert) | |
Private Member Functions | |
std::vector< double > | get_quadrature_points (const unsigned int n) |
std::vector< double > | get_quadrature_weights (const unsigned int n) |
Static Private Member Functions | |
static std::vector< double > | get_quadrature_points (const unsigned int n) |
static std::vector< double > | get_quadrature_weights (const unsigned int n) |
A class for Gauss quadrature with logarithmic weighting function. This formula is used to integrate \ln|x|\;f(x) on the interval [0,1], where f is a smooth function without singularities. The collection of quadrature points and weights has been obtained using Numerical Recipes
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Notice that only the function f(x) should be provided, i.e., \int_0^1
f(x) \ln|x| dx = \sum_{i=0}^N w_i f(q_i). Setting the revert
flag to true at construction time switches the weight from \ln|x| to \ln|1-x|.
The weights and functions have been tabulated up to order 12.
Definition at line 240 of file quadrature_lib.h.
QGaussLog< dim >::QGaussLog | ( | const unsigned int | n, |
const bool | revert = false ) |
Generate a formula with n
quadrature points
QGaussLog< 1 >::QGaussLog | ( | const unsigned int | n, |
const bool | revert ) |
Definition at line 484 of file quadrature_lib.cc.
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staticprivate |
Compute the points of the quadrature formula.
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staticprivate |
Compute the weights of the quadrature formula.
Definition at line 503 of file quadrature_lib.cc.
Definition at line 636 of file quadrature_lib.cc.