  The widely used AZURV1 transport benchmarks package provides a suite of
solutions to isotropic scattering transport problems with a variety of initial
conditions (Ganapol 2001). Most of these solutions have an initial condition
that is a Dirac delta function in space; as a result these benchmarks are
challenging problems to use for verification tests in computer codes.
Nevertheless, approximating a delta function in simulation often leads to low
orders of convergence and the inability to test the convergence of high-order
numerical methods. While there are examples in the literature of integration of
these solutions as Green's functions for the transport operator to produce
results for more easily simulated sources, they are limited in scope and
briefly explained. For a sampling of initial conditions and sources, we present
solutions for the uncollided and collided scalar flux to facilitate accurate
testing of source treatment in numerical solvers. The solution for the
uncollided scalar flux is found in analytic form for some sources. Since
integrating the Green's functions is often nontrivial, discussion of
integration difficulty and workarounds to find convergent integrals is
included. Additionally, our uncollided solutions can be used as source terms in
verification studies, in a similar way to the method of manufactured solutions.
