Суперкомпьютерное образование

This manual encompasses the experience of creating a parallel software MPI platform and a graphical environment for developing parallel numerical models on general meshes. The INMOST (Integrated Numerical Modeling and Object- Oriented Supercomputing Technologies) technology kit is a tool for supercomputer modeling characterized by the maximum commonness of supported meshes, flexible and economical nature of its distributed data structure, its cross-platform and also the graphical environment for an interactive user interface.

This manual will be useful for instrumentation and automation developers, engineers and mathematicians, whose activities are related to supercomputer modeling: to all those directly involved in creating parallel applications or using parallel numerical models.

The book outlines methods for solving problems using statistical modeling. The algorithms under consideration are intended for use in parallel computing on computer systems of various architectures. The authors consistently describe methods for obtaining independent streams of pseudo-random numbers and random vectors with a given distribution law, methods for approximate calculation of high-dimensional integrals and numerical solution of some classes of differential equations in ordinary and partial derivatives and simulation modeling methods.

The book is designed for those students who are introduced to elements of computational mathematics and parallel programming as well as researchers who apply numerical modeling to solve applied problems.

This paper is devoted to the analysis of complex multi-extremal models of decision-making, which is traditional for Professor R.G. Strongin’s world-renown scientific school in this field. The work contains the necessary theoretical apparatus for constructing and analyzing parallel methods based on the information-statistical approach to constructing optimization methods, the characteristic theory of convergence and the effectiveness of methods for finding the extremum, and the methodology for reducing the complexity of models under examination. It gives a description of computational schemes of optimization methods, their theoretical justification and examples of practical application. It provides a brief depiction of the software that realizes, in the form of complete software systems, the proposed methods for searching for globally optimal solutions and has found its application in solving complex applied problems and in the learning process as a medium for performing laboratory work and research. The book is intended for a wide range of students, graduate students and professionals who want to study and practically use parallel methods of global optimization for solving computationally labor-intensive applied problems. The Academic Council of the Faculty of Computational Mathematics and Cybernetics (CMC), Lobachevsky Nizhny Novgorod State University recommends this monograph for use in the educational process. The monograph was prepared as part of the project of the Presidential Commission on Modernization and Technological Development of the Russian Economy ‘Creating a System for Training Highly Qualified Personnel in the Field of Supercomputer Technologies and Specialized Software.’

A lecture read by V.A. Nikonov, the dean of Faculty of Public Administration (Lomonosov Moscow State University), before first course students on September 2, 2011.