Search Results - "Melnikov, Yuri"
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1
Efficient representations of Green’s functions for some elliptic equations with piecewise-constant coefficients
Published in Open mathematics (Warsaw, Poland) (01-02-2010)Get full text
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Method of Green’s Potentials for Elliptic PDEs in Domains with Random Apertures
Published in Journal of scientific computing (01-09-2020)“…Problems with topological uncertainties appear in many fields ranging from nano-device engineering to the design of bridges. In many of such problems, a part…”
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Principles of the Russian education system in the light of scientific and pedagogical activity оf E.D. Nikitin
Published in Razvitie obrazovaniâ (Online) (20-12-2018)“…This paper analyzes the following principles of Russian education: the principle of state funding of science and education, the principle of state…”
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On a new class of special functions generated by integral-difference operators
Published in Journal of computational and applied mathematics (01-01-2018)“…We introduce and investigate a new class of special functions ΞN[k](x), x∈[0,1). Originally these functions naturally appeared upon spectral analysis of…”
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Matrices of Green's type of steady-state heat conduction in multiply connected piecewise homogeneous regions
Published in Engineering analysis with boundary elements (01-09-2003)“…The author's modification of the method of functional equations is used for accurate evaluation of steady-state thermal fields generated by a point…”
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Construction of Green's functions for the Black-Scholes equation
Published in Electronic journal of differential equations (14-11-2007)“…A technique is proposed for the construction of Green's functions for terminal-boundary value problems of the Black-Scholes equation. The technique permits an…”
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SPECTRAL ANALYSIS FOR A CLASS OF INTEGRAL-DIFFERENCE OPERATORS: KNOWN FACTS, NEW RESULTS, AND OPEN PROBLEMS
Published in Discrete Dynamics in Nature and Society (2004)“…We present state of the art, the new results, and discuss open problems in the field of spectral analysis for a class of integral‐difference operators…”
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8
Method of Green's potentials for elliptic PDEs in domains with random apertures
Published 06-08-2020“…J Sci Comput 84, 42 (2020) Problems with topological uncertainties appear in many fields ranging from nano-device engineering to the design of bridges. In many…”
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Migration and Nesting of Eagles in the Upper Reaches of Angara River
Published in Pernatyĭe khishchniki (01-10-2018)“…The work was carried out in 2009–2018 in the sources of Angara river and adjacent areas, using commonly accepted methods of recording birds, adapted to local…”
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10
A simple non-linear model of immune response
Published in Chaos, solitons and fractals (01-03-2003)“…It is still unknown why the adaptive immune response in the natural immune system based on clonal proliferation of lymphocytes requires interaction of at least…”
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Modern Applications of Green's Functions in Mechanics and Related Fields
Published in Journal of engineering mathematics (2004)Get full text
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Hypergeometric representations and differential-difference relations for some kernels appearing in mathematical physics
Published 11-04-2018“…The paper is an investigation of the analytic properties of a new class of special functions that appear in the kernels of a class of integral operators…”
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Transfer RNAs: Electrostatic Patterns and an Early Stage of Recognition by Synthetases and Elongation Factor EF-Tu
Published in Biochemistry (Easton) (11-04-2006)“…Distributions of phosphate backbone-produced electrostatic potentials around several tRNAs were calculated by solving the nonlinear Poisson−Boltzmann equation…”
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