dverk78_dense_coefficients Module Procedure

module procedure dverk78_dense_coefficients pure module subroutine dverk78_dense_coefficients(me, b, form)

Dense output for the Verner 8(7) (Maple's dverk78) method dverk78. This is an interpolant of order 8 constructed by P. Stone, which requires 9 additional function evaluations (see dverk78_dense_extra_stages).

Note

The interpolant is published in the polynomial form. Here it has been converted (exactly, using high precision arithmetic) to the form used in DOPRI5 and DOP853 (see dense_coefficients), which has much smaller roundoff error for these coefficients. This code is generated by scripts/generate_dense.py.

References

Arguments

Type IntentOptional Attributes Name
class(dverk78_class), intent(in) :: me
real(kind=wp), intent(out), dimension(:,:), allocatable :: b

dense output coefficients
integer, intent(out) :: form

the form of b