Штучний інтелект

Анотація: This article discusses the development of numerical methods of simulation of dynamic systems with lumped parameters. The emphasis is placed on the proof of the sustainability of the method on the initial data and on the righthand side, the stability domains are used as test examples. A comparative analysis of the orders of approximation of the developed methods has been conducted in relation to the orders of the classical stage methods. A mathematical tool has been developed that allows one to generate the coefficients of the calculation schemes for an arbitrary number of stages on a step, including a non-uniform arrangement of stage points.

Ключові слова: dynamical system, stage points, stability, approximation, collocation, parallel computing

Посилання:

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