diff_gl Class Reference

The diff_gl class implements the Gauss-Lobatto (or more properly Gauss-Lobatto-Chebyshev) collocation method. More...

#include <numdiff.h>

Collaboration diagram for diff_gl:

Public Member Functions
	diff_gl (int n=1)
	~diff_gl ()
	diff_gl (const diff_gl &)
diff_gl &	operator= (const diff_gl &)
void	set_ndomains (int n)
void	set_xif (double,...)
void	set_npts (int,...)
void	init ()
matrix	eval (const matrix &y, const matrix &x, matrix &T) const
matrix	eval (const matrix &y, const matrix &x) const
matrix	eval (const matrix &y, double x) const
matrix	eval (const matrix &y, double x, matrix &T) const

Public Attributes
matrix	x
matrix	I
matrix_block_diag	P
matrix_block_diag	P1
matrix_block_diag	D
int *	npts
double *	xif
const int &	ndomains
const int &	N

Private Member Functions
void	init_1 ()

Private Attributes
int	ndom
int	Ntot

Detailed Description

The diff_gl class implements the Gauss-Lobatto (or more properly Gauss-Lobatto-Chebyshev) collocation method.

The basis functions are Chebyshev polynomials of the first kind: \( T_l(x)=cos(l.arccos(x)) \), defined in \( [-1, 1] \).
And the collocation points are \( x_i = -cos(\frac{i \pi}{n})\)

Constructor & Destructor Documentation

diff_gl::diff_gl ( int  n = 1 )

explicit

diff_gl::~diff_gl

(

)

diff_gl::diff_gl

(

const diff_gl &

gl

)

Member Function Documentation

matrix diff_gl::eval	(	const matrix &	y,
		const matrix &	x,
		matrix &	T
	)		const

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matrix diff_gl::eval	(	const matrix &	y,
		const matrix &	x
	)		const

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matrix diff_gl::eval	(	const matrix &	y,
		double	x
	)		const

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matrix diff_gl::eval	(	const matrix &	y,
		double	x,
		matrix &	T
	)		const

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void diff_gl::init

(

)

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void diff_gl::init_1 ( )

private

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diff_gl & diff_gl::operator=

(

const diff_gl &

gl

)

void diff_gl::set_ndomains

(

int

n

)

void diff_gl::set_npts	(	int	n,
			...
	)

void diff_gl::set_xif	(	double	x,
			...
	)

Member Data Documentation

matrix_block_diag diff_gl::D

matrix diff_gl::I

const int & diff_gl::N

int diff_gl::ndom

private

const int& diff_gl::ndomains

int* diff_gl::npts

int diff_gl::Ntot

private

matrix_block_diag diff_gl::P

matrix_block_diag diff_gl::P1

matrix diff_gl::x

double* diff_gl::xif

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The documentation for this class was generated from the following files:

• src/include/numdiff.h
• src/numdiff/diff_gl.cpp