rkcv8 Module Procedure

module procedure rkcv8 module subroutine rkcv8(me, t, x, h, xf)

Cooper-Verner 11 stage, 8th order Runge-Kutta method.

Reference

  • Some Explicit Runge-Kutta Methods of High Order, by G. J. Cooper and J. H. Verner, SIAM Journal on Numerical Analysis, Vol. 9, No. 3, (September 1972), pages 389 to 405
  • http://www.peterstone.name/Maplepgs/Maple/nmthds/RKcoeff/Runge_Kutta_schemes/RK8/RKcoeff8b_1.pdf

Arguments

Type IntentOptional Attributes Name
class(rkcv8_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


Calls

proc~~rkcv8~~CallsGraph proc~rkcv8 rklib_fixed_steps::rkcv8 f f proc~rkcv8->f funcs funcs proc~rkcv8->funcs