d02pr
is the AD Library version of the primal routine
d02prf.
Based (in the C++ interface) on overload resolution,
d02pr 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.
d02pr
is the AD Library version of the primal routine
d02prf.
d02prf resets the end point in an integration performed by
d02pff or
d02pgf.
For further information see
Section 3 in the documentation for
d02prf.
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.
d02pr preserves all error codes from
d02prf 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
d02prf,
modified to demonstrate calling the NAG AD Library.
This example integrates a two body problem. The equations for the coordinates
of one body as functions of time
in a suitable frame of reference are
The initial conditions
lead to elliptic motion with
.
is selected and the system of ODEs is reposed as
over the range
. Relative error control is used with threshold values of
for each solution component and compute the solution at intervals of length
across the range using
d02pr to reset the end of the integration range. A high-order Runge–Kutta method (
) is also used with tolerances
and
in turn so that the solutions may be compared.