rktp64 Module Procedure

module procedure rktp64 module subroutine rktp64(me, t, x, h, xf, xerr)

Tsitouras & Papakostas NEW6(4) Runge-Kutta method.

Reference

  • C. Tsitouras and S. N. Papakostas, "Cheap Error Estimation for Runge-Kutta methods", SIAM J. Sci. Comput. 20(1999) 2067-2088.
  • Rational coefficients (see rktp64.m)

Arguments

Type IntentOptional Attributes Name
class(rktp64_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~~rktp64~~CallsGraph proc~rktp64 rklib_variable_steps::rktp64 f f proc~rktp64->f funcs funcs proc~rktp64->funcs