mrkiss_eerk_fehlberg_7_8.f90 File Reference

Butcher tableau for Fehlberg's 13 stage, Order (7,8) Runge-Kutta method. More...

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Modules
module	mrkiss_eerk_fehlberg_7_8
	Butcher tableau for Fehlberg's 13 stage, Order (7,8) Runge-Kutta method.

Variables
integer, parameter	mrkiss_eerk_fehlberg_7_8::s = 13
	The order of the overall method.
integer, parameter	mrkiss_eerk_fehlberg_7_8::m = 2
	Number of methods.
real(kind=rk), dimension(s, s), parameter	mrkiss_eerk_fehlberg_7_8::a
	The \(\mathbf{a}\) matrix for the Butcher Tableau.
real(kind=rk), dimension(s, m), parameter	mrkiss_eerk_fehlberg_7_8::b
	The \(\mathbf{b}\) matrix for the Butcher Tableau.
real(kind=rk), dimension(s), parameter	mrkiss_eerk_fehlberg_7_8::c
	The \(\mathbf{c}\) matrix for the Butcher Tableau.
integer, dimension(m), parameter	mrkiss_eerk_fehlberg_7_8::p = [7, 8]
	The method orders.
integer, dimension(m), parameter	mrkiss_eerk_fehlberg_7_8::se = [11, 13]
	Number of stages for each method.

Detailed Description

Butcher tableau for Fehlberg's 13 stage, Order (7,8) Runge-Kutta method.

Author

Mitch Richling http://www.mitchr.me/

Keywords

ode ivp differential equation initial value problem rk

Standards

F2023

See also

https://github.com/richmit/MRKISS

Copyright

Copyright (c) 2025, Mitchell Jay Richling http://www.mitchr.me/ All rights reserved.

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

1. Redistributions of source code must retain the above copyright notice, this list of conditions, and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions, and the following disclaimer in the documentation and/or other materials provided with the distribution.
3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

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Definition in file mrkiss_eerk_fehlberg_7_8.f90.