Summary form only given. An implicit, hybrid method for linear kinetic equations was
recently proposed and an implementation using the implicit Euler method was studied 1. We
present an arbitrarily high order solver based on this hybrid method using integral deferred
corrections with respect to the implicit Euler method. The convergence properties of the
hybrid method are examined, and multiple test problems are provided to show the efficacy of
the hybrid method extends to implicit methods of higher order in both highly collisional and …

In this work, we describe the implementation of an arbitrarily high-order hybrid solver for
linear, kinetic, radiative transport equations. The hybrid method is derived from a splitting of
the radiative flux into free-streaming and collisional components to which high-and low-
resolution discrete ordinates methods are applied, respectively. Arbitrarily high orders of
accuracy with respect to time and space are attained by combining an integral deferred
correction (IDC) time integration scheme constructed with implicit Euler substepping on …