rktmy7 Module Procedure

module procedure rktmy7 module subroutine rktmy7(me, t, x, h, xf, xerr)

Tanaka/Muramatsu/Yamashita 7th order (a.k.a. Tanyam7)

Reference

  • M. Tanaka, S. Muramatsu and S. Yamashita, "On the Optimization of Some Nine-Stage Seventh-order Runge-Kutta Method", Information Processing Society of Japan, Vol. 33, No. 12 (1992) pages 1512-1526.
  • Rational coefficients
  • Tanyam7

Note

The floating point coefficients here were generated from the rational ones from the 3rd reference.

Arguments

Type IntentOptional Attributes Name
class(rktmy7_class), intent(inout) :: me
real(kind=wp), intent(in) :: t

initial time

real(kind=wp), intent(in), dimension(me%n) :: x

initial state

real(kind=wp), intent(in) :: h

time step

real(kind=wp), intent(out), dimension(me%n) :: xf

state at time t+h

real(kind=wp), intent(out), dimension(me%n) :: xerr

truncation error estimate for x


Calls

proc~~rktmy7~~CallsGraph proc~rktmy7 rklib_variable_steps::rktmy7 f f proc~rktmy7->f funcs funcs proc~rktmy7->funcs