mrkiss_erk_feagin_10 Module Reference

Butcher tableau for Feagin's 16 stage order (10) Runge-Kutta method. More...

Variables
integer, parameter	s = 17
	The order of the overall method.
integer, parameter	m = 1
	Number of methods.
real(kind=rk), dimension(s, s), parameter	a
	The \(\mathbf{a}\) matrix for the Butcher Tableau.
real(kind=rk), dimension(s, m), parameter	b
	The \(\mathbf{b}\) matrix for the Butcher Tableau.
real(kind=rk), dimension(s), parameter	c
	The \(\mathbf{c}\) matrix for the Butcher Tableau.
integer, dimension(m), parameter	p = [10]
	The method orders.
integer, dimension(m), parameter	se = [17]
	Number of stages for each method.

Detailed Description

Butcher tableau for Feagin's 16 stage order (10) Runge-Kutta method.

IMO

I have limited experience with this method. I have had good results with well with 128-bit & 80-bit floats. Use with care!

Known Aliases

'feagin10' (OrdinaryDiffEq.jl)

Stability Image Links

References:

• Feagin (2006); "A Tenth-Order Runge-Kutta Method with Error Estimate"; zotero://select/items/0_PGRJDU9M

Variable Documentation

s

integer, parameter mrkiss_erk_feagin_10::s = 17

The order of the overall method.

Definition at line 61 of file mrkiss_erk_feagin_10.f90.

m

integer, parameter mrkiss_erk_feagin_10::m = 1

Number of methods.

Definition at line 63 of file mrkiss_erk_feagin_10.f90.

a

real(kind=rk), dimension(s,s), parameter mrkiss_erk_feagin_10::a

The \(\mathbf{a}\) matrix for the Butcher Tableau.

Definition at line 65 of file mrkiss_erk_feagin_10.f90.

b

real(kind=rk), dimension(s,m), parameter mrkiss_erk_feagin_10::b

The \(\mathbf{b}\) matrix for the Butcher Tableau.

Definition at line 83 of file mrkiss_erk_feagin_10.f90.

c

real(kind=rk), dimension(s), parameter mrkiss_erk_feagin_10::c

The \(\mathbf{c}\) matrix for the Butcher Tableau.

Definition at line 85 of file mrkiss_erk_feagin_10.f90.

p

integer, dimension(m), parameter mrkiss_erk_feagin_10::p = [10]

The method orders.

Definition at line 87 of file mrkiss_erk_feagin_10.f90.

se

integer, dimension(m), parameter mrkiss_erk_feagin_10::se = [17]

Number of stages for each method.

Definition at line 89 of file mrkiss_erk_feagin_10.f90.