Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In the paper the brief review of the important results of nonlinear fracture mechanics recently obtained by the asymptotic methods and perturbation techniques is given.
Larisa V Stepanova, Ekaterina M Adylina
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Dynamics of a Complex Spatially Distributed Hutchinson Equation
Моделирование и анализ информационных систем, 2015 In the article the complex Hutchinson equation is studied. New results on numerically observable space-inhomogenious solutions are obtained.
D. S. Glyzin, S. A. Kaschenko
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Efficient computation of delay differential equations with highly oscillatory terms. [PDF]
, 2012 This paper is concerned with the asymptotic expansion and numerical solution of systems of linear delay differential equations with highly oscillatory forcing terms.
Condon, Marissa +3 more
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Exponential Runge-Kutta methods for stiff kinetic equations [PDF]
, 2010 We introduce a class of exponential Runge-Kutta integration methods for kinetic equations. The methods are based on a decomposition of the collision operator into an equilibrium and a non equilibrium part and are exact for relaxation operators of BGK ...
Dia B. O. +4 more
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Asymptotic analysis of the axisymmetric problem for the transverse compression of a thin elastic disk in the case of mixed boundary conditions along its faces [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThe axisymmetric problem for the transverse compression of a thin elastic disk is considered in slip absence. An asymptotic solution for the interior stress-strain state is constructed.
Kaplunov, Julius Davidovich +2 more
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Asymptotic Methods for Metal Oxide Semiconductor Field Effect Transistor Modeling [PDF]
, 1990 The behavior of metal oxide semiconductor field effect transistors (MOSFETs) with small aspect ratio and large doping levels is analyzed using formal perturbation techniques.
Cohen, D. S., Odeh, F. M., Ward, M. J.
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The asymptotic analysis of free vibrations of a cylindrical shell joined with annular plates [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаLow frequencies and vibration modes of a closed circular cylindrical shell joined with annular plates are obtained by means of asymptotic methods. Two types of vibrations, corresponding to narrow and wide plates, are analyzed. If the width of the ring is
Filippov, Sergei Borisovich +1 more
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Reliability of Extreme Wind Speeds Predicted by Extreme-Value Analysis
Meteorology, 2023 The reliability of extreme wind speed predictions at large mean recurrence intervals (MRI) is assessed by bootstrapping samples from representative known distributions.
Nicholas John Cook
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Vìsnik Nacìonalʹnogo Tehnìčnogo Unìversitetu Ukraïni Kììvsʹkij Polìtehnìčnij Ìnstitut: Serìâ Radìotehnìka, Radìoaparatobuduvannâ, 2020 It is suggested that the asymptotic method of saddle point be used for solution of integral electrodynamic equations of the electromagnetic field scattered by phased equidistant antenna arrays.
О. L. Sidorchuk +4 more
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Low Mach dynamics of interface and flow fields in thermally conducting fluids
Frontiers in Applied Mathematics and StatisticsUnstable interfaces govern many processes in fluids, plasmas, materials, in nature and technology. In distinct physical environments, the interface dynamics exhibit similar characteristics and couple micro to macro scales.
Snezhana I. Abarzhi, Snezhana I. Abarzhi
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