  A space-time collocation method (STCM) using asymptotically-constant basis
functions is proposed and applied to the quantum Hamiltonian constraint for a
loop-quantized treatment of the Schwarzschild interior. Canonically, these
descriptions take the form of a partial-difference equation (PDE). The
space-time collocation approach presents a computationally efficient,
convergent, and easily parallelizable method for solving this class of
equations, which is the main novelty of this study. Results of the numerical
simulations will demonstrate the benefit from a parallel computing approach;
and show general flexibility of the framework to handle arbitrarily-sized
domains. Computed solutions will be compared, when applicable, to a solution
computed in the conventional method via iteratively stepping through a
predefined grid of discrete values, computing the solution via a recursive
relationship.
