d02ps
is the AD Library version of the primal routine
d02psf.
Based (in the C++ interface) on overload resolution,
d02ps can be used for primal, tangent and adjoint
evaluation. It supports tangents and adjoints of first order.
Note: this function can be used with AD tools other than dco/c++. For details, please contact
NAG.
d02ps
is the AD Library version of the primal routine
d02psf.
d02psf computes the solution of a system of ordinary differential equations using interpolation anywhere on an integration step taken by
d02pff.
For further information see
Section 3 in the documentation for
d02psf.
Brankin R W, Gladwell I and Shampine L F (1991) RKSUITE: A suite of Runge–Kutta codes for the initial value problems for ODEs SoftReport 91-S1 Southern Methodist University
A brief summary of the AD specific arguments is given below. For the remainder, links are provided to the corresponding argument from the primal routine.
A tooltip popup for all arguments can be found by hovering over the argument name in
Section 2 and in this section.
d02ps preserves all error codes from
d02psf and in addition can return:
An unexpected AD error has been triggered by this routine. Please
contact
NAG.
See
Section 4.8.2 in the NAG AD Library Introduction for further information.
The routine was called using a mode that has not yet been implemented.
On entry: ad_handle is nullptr.
This check is only made if the overloaded C++ interface is used with arguments not of type double.
A C++ exception was thrown.
The error message will show the details of the C++ exception text.
Dynamic memory allocation failed for AD.
See
Section 4.8.1 in the NAG AD Library Introduction for further information.
Not applicable.
None.
The following examples are variants of the example for
d02psf,
modified to demonstrate calling the NAG AD Library.
This example solves the equation
reposed as
over the range
with initial conditions
and
. Relative error control is used with threshold values of
for each solution component.
d02pf is used to integrate the problem one step at a time and
d02ps is used to compute the first component of the solution and its derivative at intervals of length
across the range whenever these points lie in one of those integration steps. A low order Runge–Kutta method (
) is also used with tolerances
and
in turn so that solutions may be compared.