The explicit biorthogonalization method, developed in [arXiv:1701.00018] for continuous time TASEP, is generalized to a broad class of determinantal measures which describe the evolution several interacting particle systems KPZ universality class. method applied sequential and parallel update versions each four variants discrete TASEP (with Bernoulli geometric jumps, with block push dynamics) h...

The reduction of computational costs in the numerical solution nonstationary problems is achieved through splitting schemes. In this case, solving a set less computationally complex provides transition to new level time. traditional construction approach schemes based on an additive representation problem operator(s) and uses explicit-implicit approximations for individual terms. Recently (Efen...