sll_o_trapz_integrate_1d Interface Reference

Integrate numerically with Gauss-Lobatto formula. More...

Private Member Functions
real(kind=f64) function	trapz_integral_1d (f, x, n)
	Integrate with trapz formula. More...

Detailed Description

Integrate numerically with Gauss-Lobatto formula.

Definition at line 34 of file sll_m_trapz_integration.F90.

Member Function/Subroutine Documentation

trapz_integral_1d()

real(kind=f64) function trapz_integral_1d ( procedure(function_1d)  f, real(kind=f64), dimension(n)  x, integer(kind=i32), intent(in)  n  )

private

Integrate with trapz formula.

To integrate the function \( f(x) \) , we use the trapz formula

\[ \int_{-1}^1 f(x)dx \approx \sum_{k=1}^{n} w_k f(x_k) \]

where n and x represents the desired number of points and their positions.

Parameters

	f	the function to be integrated
[in]	x	positions of points
[in]	n	the number of points

Returns

The value of the integral

Definition at line 51 of file sll_m_trapz_integration.F90.

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