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August 13, 2026
‘Working with AI Solves a Wide Range of Engineering Problems
Artificial intelligence is a working tool based on a balanced combination of algorithms and engineering. Experts and doctoral students from the HSE Moscow Institute of Electronics and Mathematics explain how AI technologies can improve an application, device, or system, and what engineering tasks are solved in the process.
August 12, 2026
‘I Would Like My Research to Help Make the World a Calmer and Better Place
Whatever task Saraa Ali, Junior Research Fellow at the Laboratory of Methods for Big Data Analysis (LAMBDA) of the AI and Digital Science Institute (HSE Faculty of Computer Science), is working on, she thinks about how it can benefit people. She told the Young Scientists of HSE University project about her large family, diagnosing three-phase motors, and her dream of building a children’s home in her native country.
August 11, 2026
‘The Peak of Stupidity and ‘The Valley of Despair: HSE Economists Propose an Explanation for the Dunning–Kruger Effect
The Dunning–Kruger effect, which describes a sharp surge in self-confidence among beginners followed by an equally rapid decline as they gain experience, can be explained by the nature of the learning process and the acquisition of new knowledge. This conclusion was reached by Andrey Vorchik of the HSE Faculty of Economic Sciences together with independent researcher Murat Mamyshev. They developed a mathematical model of learning and demonstrated how subjective confidence is formed and changes as knowledge accumulates, as well as how teachers can reduce the ‘valley of despair’ experienced by learners.

 

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Квазиклассическое приближение для разностных уравнений 2-ого порядка в неограниченной области

С. 6–7.
Rumiantseva S.

  In this paper, we consider a linear homogeneous difference equation of the 2nd order with smooth coefficients. It is known that there are the several solutions to such equation. We have constructed explicit restrictions on the smoothness and growth of the coefficients of the equation, under which the solution retains the WKB form in an unbounded domain that does not contain pivot points and singularity points. The asymptotics of Laguerre polynomials are constructed for simultaneously large values of the argument and the order of the polynomials using proven asymptotic estimates as an application example.

Language: Russian
Text on another site
Keywords: ВКБ-приближениеsemiclassical approximationквазиклассическое приближениеdifference equationsразностные уравненияWKB approximation

In book

Материалы конференции. Межвузовская научно-техническая конференция студентов, аспирантов и молодых специалистов им. Е.В. Арменского
М.: МИЭМ НИУ ВШЭ, 2020.
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