sll_m_fornberg Module Reference

Functions/Subroutines
subroutine, public	sll_s_apply_fd (nin, maxorder, xdata, ydata, xtgt, out)
	Apply finite difference formula to compute derivative. More...
subroutine, public	sll_s_populate_weights (z, x, nd, m, c)

Function/Subroutine Documentation

sll_s_apply_fd()

subroutine, public sll_m_fornberg::sll_s_apply_fd	(	integer(kind=i32), intent(in)	nin,
		integer(kind=i32), intent(in)	maxorder,
		real(kind=f64), dimension(0:nin - 1), intent(in)	xdata,
		real(kind=f64), dimension(0:nin - 1), intent(in)	ydata,
		real(kind=f64), intent(in)	xtgt,
		real(kind=f64), dimension(0:maxorder), intent(out)	out
	)

Apply finite difference formula to compute derivative.

Parameters

[in]	nin	number of points where the function is evaluated
[in]	maxorder	maximum order of the derivative
[in]	xdata	abscissae vector
[in]	ydata	ordinates vector
[in]	xtgt	position where the derivatives will be evaluated
[out]	out(0:n)	values of n th derivatives at xtgt

Definition at line 54 of file sll_m_fornberg.F90.

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sll_s_populate_weights()

subroutine, public sll_m_fornberg::sll_s_populate_weights	(	real(kind=f64), intent(in)	z,
		real(kind=f64), dimension(0:nd), intent(in)	x,
		integer(kind=i32), intent(in)	nd,
		integer(kind=i32), intent(in)	m,
		real(kind=f64), dimension(0:nd, 0:m), intent(out)	c
	)

Parameters

[in]	z	location where approximations are to be accurate,
[in]	x(0:nd)	grid point locations, found in x(0:n)
[in]	nd	dimension of x- and c-arrays in calling program x(0:nd) and c(0:nd,0:m), respectively,
[in]	m	highest derivative for which weights are sought,
[out]	c(0:nd,0:m)	weights at grid locations x(0:n) for derivatives of order 0:m, found in c(0:nd,0:m)

See: Generation of Finite Difference Formulas on Arbitrarily Spaced Grids, Bengt Fornberg, Mathematics of compuation, 51, 184, 1988, 699-706

Definition at line 80 of file sll_m_fornberg.F90.

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