

Any technical device can be viewed as complex system if we will present this device from a various sides and on various phases of its existence. The basic problems at modeling of engineering systems :  The requirement of constant expansion of representations about system;  The necessity of synthesis of multiphysical description of various designs on various phases of their designing;  The big number of variables, the big number of equations leading to significant computing expenses. For a resolving of these problems it is offered to use :  The tensor analysis of networks  at a mathematical level  Coarray Fortran – at a software level  Manycore architecture  at a hardware level mathematical level Further we shall view mathematical opportunities of tensor analysis of networks. • The engineering devices are considered in various spaces; • The transition from one device to another at different levels of hierarchy, is considered as transformation of spaces. The problem of synthesis of multiphysical description of engineering system Solution :  Application of theory of electric circuits, use of method of electroanalogies for calculation of devices of various physical nature; The problem of many levels of projects Solution :  The overlapping in the uniform mathematical description of continuous differential objects and discrete topological objects allows to join with systems of designing (CAD/CAM) The problem of big number of variables Solution :  Application of principle of an invariance of equations leads to universality of software and decrease in expenses for the programming at multiple researches;  Application of calculation by parts allows to execute parallel calculations. software level Coarray Fortran is the simplest way of creation of parallel programs * programming on coarray Fortran little differs from programming in engineering systems MATLAB or SciLAB * coarray Fortran is well adapted for programming of tasks of multilinear algebra * “Coarray Fortran represent a correspondance between tensor notation and an extended Fortran array syntax.” (Robert W.Numrich. Parallel Numerical Algorithms Based on Tensor Notation and CoArray Fortran Syntax. Parallel Computing,31, p.588, 2005) hardware level
The calculations on manycore architecture ( Intel® Manycore
Testing Lab )

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