rks98 Module Procedure

module procedure rks98 module subroutine rks98(me, t, x, h, xf, xerr)

Sharp 9(8)

Reference

  • Philip W. Sharp, "High order explicit Runge-Kutta pairs for ephemerides of the Solar System and the Moon", Journal of Applied Mathematics & Decision Sciences, 4(2), 183-192 (2000),
  • https://github.com/SciML/DiffEqDevTools.jl/blob/master/src/ode_tableaus.jl

Note

The floating point coefficients here were generated from the rational ones from the 2nd reference.

Arguments

Type IntentOptional Attributes Name
class(rks98_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~~rks98~~CallsGraph proc~rks98 rklib_variable_steps::rks98 f f proc~rks98->f funcs funcs proc~rks98->funcs