Article

An approximation algorithm for quadratic dynamic systems based on N. Chomsky’s grammar for Taylor’s formula

Абдулла АзамовUlugbek National University of Uzbekistan, Tashkent, 100174, UzbekistanMansur A. BekimovUlugbek National University of Uzbekistan, Tashkent, 100174, Uzbekistan

Proceedings of the Steklov Institute of Mathematicsjournal2016en

ABI

Abstract

Single-step methods for the approximate solution of the Cauchy problem for dynamic systems are discussed. It is shown that a numerical integration algorithm with a high degree of accuracy based on Taylor’s formula can be proposed in the case of quadratic systems. An explicit estimate is given for the remainder. The algorithm is based on N. Chomsky’s generative grammar for the language of terms of Taylor’s formula.

Topics

Mathematical Control Systems and Analysis Numerical Methods and Algorithms Elasticity and Wave Propagation

Identifiers

DOI: 10.1134/s0081543816050023

Citations and references

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