Parallel Computing Technologies

Dear Colleagues,This special issue of the journal is devoted to Parallel Computing Technologies (PaCT).Today the PaCT is the mainstream research area in parallel computing.Generally, Science of Parallel Computing Technologies studies laws of the combined use of the results obtained in many different research areas: pure and applied mathematics, computer science, hardware architectures and software technologies, subject domains, including results from any disciplines needed for proving a successful application of supercomputers in a certain application area.Contrary to research in a "narrow" area, where usually a pure mathematical theory can be developed, in the PaCT we deal with a wide range of practical problems where it is impossible to operate only with the notions of a high abstraction in the framework of a certain theory suitable for analysis.As a rule, we are forced to operate simultaneously with the notions from different levels of abstraction as well as from the different theories.This demands the development of special approaches to the software development.The basic desirable result here is a certain concrete method helping to understand how to cross a gap between pure ideas via mathematical model and a necessary practical technology.With the use of modern supercomputers it is now possible to develop and to implement on supercomputers different realistic mathematical models of natural phenomena, complex technical devises and human intellectual activities.In the area of mod-