SELF_Quadrature Module

Contents

Subroutines

ChebyshevGauss ChebyshevGaussLobatto ChebyshevQuadrature LegendreGauss LegendreGaussLobatto LegendrePolynomial LegendreQandL LegendreQuadrature

Subroutines

private subroutine ChebyshevGauss(N, nodes, weights)

Arguments

Type	Intent	Optional	Attributes		Name
integer				::	N
real(kind=real64)				::	nodes(0:N)
real(kind=real64)				::	weights(0:N)

private subroutine ChebyshevGaussLobatto(N, nodes, weights)

Arguments

Type	Intent	Optional	Attributes		Name
integer				::	N
real(kind=real64)				::	nodes(0:N)
real(kind=real64)				::	weights(0:N)

public subroutine ChebyshevQuadrature(N, nodes, weights, QuadType)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	N
real(kind=prec),	intent(out)			::	nodes(0:N)
real(kind=prec),	intent(out)			::	weights(0:N)
integer,	intent(in)			::	QuadType

private subroutine LegendreGauss(N, nodes, weights)

Arguments

Type	Intent	Optional	Attributes		Name
integer				::	N
real(kind=real64)				::	nodes(0:N)
real(kind=real64)				::	weights(0:N)

private subroutine LegendreGaussLobatto(N, nodes, weights)

Arguments

Type	Intent	Optional	Attributes		Name
integer				::	N
real(kind=real64)				::	nodes(0:N)
real(kind=real64)				::	weights(0:N)

public subroutine LegendrePolynomial(N, x, lAtX, dLdxAtX)

Arguments

Type	Intent	Optional	Attributes		Name
integer				::	N
real(kind=real64)				::	x
real(kind=real64)				::	lAtX
real(kind=real64)				::	dLdxAtX

private subroutine LegendreQandL(N, x, q, qprime, lN)

Arguments

Type	Intent	Optional	Attributes		Name
integer				::	N
real(kind=real64)				::	x
real(kind=real64)				::	q
real(kind=real64)				::	qprime
real(kind=real64)				::	lN

public subroutine LegendreQuadrature(N, nodes, weights, QuadType)

Arguments

Type	Intent	Optional	Attributes		Name
integer,	intent(in)			::	N
real(kind=prec),	intent(out)			::	nodes(0:N)
real(kind=prec),	intent(out)			::	weights(0:N)
integer,	intent(in)			::	QuadType