The spatially asymptotic theory is a useful approach to the neutron transport model for nuclear reactor physics applications. For steady-state problems the transport equation is taken in an infinite medium and it is treated by the Fourier transform. A formal solution is thus obtained for any...

The homogeneous one-speed neutron transport equation in plane geometry can be solved using a separation of variables technique. In the case of isotropic scattering and a sub-critical system, it is well known [15,5] that there are exactly two discrete eigenvalues with opposite sign associated to...

We derive a customized solution to the diffusion equation in a heterogeneous slab with an arbitrary contiguous source. While aspects of solution have previously been reported in the literature, its full explicit form as presented here by solving a 3-term recurrence, has not. We conclude with a...

Modelling dependent defaults has long been a central issue for credit risk measurement and management. To address this important issue, we introduce a Markovian infectious model to describe the dependent relationship of default processes of credit securities. The central tenant of the proposed...

Defence in depth is a time-tested strategy in some technical fields, such as cybersecurity or nuclear reactor technology. In view of potentially devasting consequences of exponential growth, the implementation of such a strategy is almost self-evident in this case. Less obvious is a formal...

В статье рассматриваются особенности динамических изменений в локальном экономическом пространстве (в регионе). На основании анализа современных...