UDC 533.6.013.42
1 State Enterprise “State Research Institute of Building Constructions,” Kyiv, Ukraine, and Institute of Telecommunication and Global Information Space of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
 kalyukh2002@gmail.com
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2 Institute of Telecommunication and Global Information Space of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
itelua@kv.ukrtel.net
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3 Institute of Telecommunication and Global Information Space of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
o.g.lebid@gmail.com
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NUMERICAL SOLUTION OF TWO-POINT STATIC PROBLEMS FOR DISTRIBUTED
EXTENDED SYSTEMS BY MEANS OF THE NELDER–MEAD METHOD
Abstract. A numerical algorithm is described for reducing two-point static problems of distributed extended systems in the field of mass and surface forces to a nonlinear programming problem that can be solved by numerical methods. A change in the dimension of the physical problem being solved does not change the entire numerical algorithm, but only leads to the replacement of some of its blocks. Numerical examples illustrating the described algorithm are given. The problems of determining the power and geometric characteristics of the deep water intake of nuclear power plants, assessing the quality of the diverter and determining the stiffness coefficient of the anchor coupling of the semi-submersible drilling platform are considered as examples of the non-linear programming problems.
Keywords: two-point problem, quadratic functions, extended system, numerical modeling, Nelder–Mead method.
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