rkpp54b Module Procedure

module procedure rkpp54b module subroutine rkpp54b(me, t, x, h, xf, xerr)

Papakostas-PapaGeorgiou 5(4) method (less stable, lower error).

Reference

  • S.N. Papakostas and G. PapaGeorgiou, "A Family of Fifth-order Runge-Kutta Pairs", Mathematics of Computation, Vol. 65, No. 215 (Jul., 1996), pp. 1165-1181

Note

This is a first-same-as-last (FSAL) step.

Arguments

Type IntentOptional Attributes Name
class(rkpp54b_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~~rkpp54b~~CallsGraph proc~rkpp54b rklib_variable_steps::rkpp54b f f proc~rkpp54b->f funcs funcs proc~rkpp54b->funcs proc~check_fsal_cache rklib_module::rk_variable_step_fsal_class%check_fsal_cache proc~rkpp54b->proc~check_fsal_cache proc~set_fsal_cache rklib_module::rk_variable_step_fsal_class%set_fsal_cache proc~rkpp54b->proc~set_fsal_cache proc~check_fsal_cache->f proc~set_fsal_cache->f