d02bj
is the AD Library version of the primal routine
d02bjf.
Based (in the C++ interface) on overload resolution,
d02bj 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.
d02bj
is the AD Library version of the primal routine
d02bjf.
d02bjf integrates a system of first-order ordinary differential equations over an interval with suitable initial conditions, using a fixed order Runge–Kutta method, until a user-specified function, if supplied, of the solution is zero, and returns the solution at points specified by you, if desired.
For further information see
Section 3 in the documentation for
d02bjf.
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.
d02bj preserves all error codes from
d02bjf 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
d02bjf,
modified to demonstrate calling the NAG AD Library.
This example illustrates the solution of four different problems. In each case the differential system (for a projectile) is
over an interval
to
starting with values
,
and
. We solve each of the following problems with local error tolerances
and
.
-
(i)To integrate to producing intermediate output at intervals of until a root is encountered where .
-
(ii)As (i) but with no intermediate output.
-
(iii)As (i) but with no termination on a root-finding condition.
-
(iv)As (i) but with no intermediate output and no root-finding termination condition.