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  • Оценка численной устойчивости вычислительной редуцированной схемы, основанной на методах Эйлера
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News
October 1, 2026
HSE Researchers Show How Congenital Motor Disorders Affect Brain Development
Researchers from HSE University’s Institute for Cognitive Neuroscience have synthesised the findings of their previous studies on brain development in children with obstetric brachial plexus palsy and arthrogryposis. Their analysis shows that impaired motor function in early childhood not only limits children’s motor experience but also affects memory, categorical thinking, and information processing. The study has been published in Frontiers in Psychology.
October 1, 2026
Window into the Body: Scientists Develop Neural Network to Detect Risk of 15 Diseases from Retinal Images
Russian universities, with the participation of HSE University, Sber, and Z-union, have developed a neural network that can simultaneously assess the risk of 15 types of pathology from retinal photographs, including not only eye diseases but also cardiovascular conditions. The AI system can help clinicians detect potentially concerning changes at an early stage, identify signs reflecting the condition of retinal blood vessels, and determine whether a patient may need further examination. The paper has been published in Frontiers in Medicine.
September 30, 2026
'We Did Not Limit the Time for Questions'
The International Laboratory for Supercomputer Atomistic Modelling and Multi-Scale Analysis at HSE University held a major conference on molecular dynamics. Participants had the opportunity to attend all the presentations, while speakers were given as much time as they needed to answer questions. The HSE News Service interviewed Grigory Smirnov, Head of the Laboratory, and Genri Norman, Chief Research Fellow, about the conference preparations and the discussions it generated.

 

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Оценка численной устойчивости вычислительной редуцированной схемы, основанной на методах Эйлера

С. 325–331.
Borisov N., Vostrikov A. V., Tishkin A.

In work the assessment of numerical stability of the computing reduced scheme based on methods of Euler is carried out. In article the condition of numerical stability of the reducing scheme which proves possibility of use of this scheme in practice was received. By means of a test example calculation for the developed reduced scheme with identical result, but accelerated in comparison by traditional computing schemes is shown.

Language: Russian
Full text
Keywords: явный метод Эйлеранеявный метод Эйлераредуцированная схема численного интегрированиячисленная устойчивость схемы численного интегрирования
Publication based on the results of:
Development of theoretical bases of functional safety, electromagnetic compatibility and reliability of spacecraft electronics and systems (2013)

In book

Труды XXIII Международной конференции "Радиационная физика твердого тела" (Севастополь, 8 июля - 13 июля 2013)
Труды XXIII Международной конференции "Радиационная физика твердого тела" (Севастополь, 8 июля - 13 июля 2013)
М.: ФГБНУ "НИИ ПМТ", 2013.
Similar publications
Исследование численной устойчивости редуцированной схемы численного интегрирования системы линейных обыкновенных дифференциальных уравнений
Vostrikov A. V., Borisov N., Abrameshin A. E., Качество. Инновации. Образование 2013 № 8 (99) С. 61–65
In work research of numerical stability of earlier reduced scheme of numerical integration of system of the linear ordinary differential equations developed by authors is conducted. The received condition of numerical stability of the reducing scheme proves possibility of use of this scheme in practice. Operability of the reduced scheme was tested on a real ...
Added: September 9, 2013
Расчет наводок в бортовой кабельной сети космических аппаратов с помощью макромоделирования на основе методов Эйлера
Vostrikov A. V., Abrameshin A. E., Borisov N., Технологии электромагнитной совместимости 2012 № 1 (40) С. 19–24
В работе предложен новый метод расчета наводок в бортовой кабельной сети космических аппаратов. Предложенный метод позволяет проводить расчет  эквивалентных электрических схем большой размерности за счет применения макромоделей, построенных на основе явного и неявного численных методов Эйлера. Существующие методы не позволяют проводить подобные расчеты за приемлемое для практики время.  Изложен алгоритм построения макромоделей, рассчитана его трудоемкость. ...
Added: September 30, 2012
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