nintegrals_mod Module Reference

A module for evaluating some angular integrals encountered in Fourier decomposition of Green's function boundary condition for Poisson and Ampere equations. More...

Functions/Subroutines
real(kind=8) function	nintegrals_gn (k, n)
	Evaluates the integral \( \int_0^{2\pi}\frac{\cos(nx)}{\sqrt{1-k\cos(x)}}dx \). More...
real(kind=8) function	nintegrals_integrand (x, k)
real(kind=8) function	nintegrals_integrand_noparams (x)

Variables
real(kind=8), parameter	epsrel = 1.D-2
	tolerance parameters for the adaptive integrations More...
real(kind=8), parameter	epsabs = 1.D-2
real(kind=8), parameter	pi = 4*atan(1.0D0)
	value for pi used inside the module. More...
real(kind=8), dimension(:), allocatable	ksave

Detailed Description

A module for evaluating some angular integrals encountered in Fourier decomposition of Green's function boundary condition for Poisson and Ampere equations.

Author

Eero Hirvijoki

Function/Subroutine Documentation

nintegrals_gn()

real(kind=8) function nintegrals_mod::nintegrals_gn	(	real(kind=8)	k,
		integer	n
	)

Evaluates the integral \( \int_0^{2\pi}\frac{\cos(nx)}{\sqrt{1-k\cos(x)}}dx \).

Author

Eero Hirvijoki

Parameters

[in]	k	A parameter for the integrator
[in]	n	the Fourier mode

Todo:

Right now only \( -1 < k < 1 \) is can be handled. If k falls outside this range, one most probably encounters a segmentation fault.

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nintegrals_integrand()

real(kind=8) function nintegrals_mod::nintegrals_integrand	(	real(kind=8)	x,
		real(kind=8), intent(in), optional	k
	)

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nintegrals_integrand_noparams()

real(kind=8) function nintegrals_mod::nintegrals_integrand_noparams

(

real(kind=8)

x

)

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Variable Documentation

epsabs

real(kind=8), parameter nintegrals_mod::epsabs = 1.D-2

epsrel

real(kind=8), parameter nintegrals_mod::epsrel = 1.D-2

tolerance parameters for the adaptive integrations

ksave

real (kind=8), dimension(:), allocatable nintegrals_mod::ksave

pi

real(kind=8), parameter nintegrals_mod::pi = 4*atan(1.0D0)

value for pi used inside the module.