Using Simplified Models to Assist Fault Detection and Diagnosis in Large Hydrogenerators by Geraldo Carvalho Brito Junior, Roberto Dalledone Machado, Anselmo Chaves Neto

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Review and comparative analysis of strength criteria for modelling non-linear behaviour of concrete by G. I. Rempel, A. M. Budarin, A. P. Dolgikh, A. A. Kamzolkin, V. N. Alekhin

“…In recent decades, numerical methods for calculating concrete and reinforced concrete structures have developed significantly, taking into account the physically nonlinear behavior of the material. …”
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Autonomous Streaming Space Objects Detection Based on a Remote Optical System by V. S. Baranova, V. A. Saetchnikov, A. A. Spiridonov

“…The purpose of this paper is to automate the processing of optical measurement data during detecting space objects and numerical methods for the initial orbit determination.This article provided the implementation of a low-cost autonomous optical system for detecting of space objects with remote control elements. …”
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CONTROL OF HEAT- AND MASS TRANSFER PROCESS IN TWO-PHASE ZONE by N. P. Voronova

“…The purpose of the proposed investigation is a mathematical formulation and solution of the problem concerning selection of operating parameters of heat- and mass transfer processes while using numerical methods. The solution of the problem makes it possible to calculate changes in function describing state of the controlled media in order to obtain the desired distribution within minimum time. …”
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HEAT-MASS TRANSFER IN MOVING MELT by R. I. Yesman, L. I. Shoub

“…The problem is solved with the help of numerical methods. A method of control volume is used for finite-difference approximation of transfer equations. …”
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Dynamics of Numerics of Nonautonomous Equations with Periodic Solutions: Introducing the Numerical Floquet Theory by Melusi Khumalo

“…It is shown that there is an inextricable relationship between AN stability (or BN stability) of the numerical methods and the correct qualitative behaviour of solutions.…”
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A New Approach for Proximal Split Minimization Problems by Abdellatif Moudafi, André Weng-Law

“…Then, forward–backward and Douglas–Rachford splitting algorithms will guide both the design and analysis of some split numerical methods. We provide evidence of globally weak convergence and the fact that these algorithms can be equipped with relaxed and/or inertial steps, leading to improved convergence guarantees.…”
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Stability of Exact and Discrete Energy for Non-Fickian Reaction-Diffusion Equations with a Variable Delay by Dongfang Li, Chao Tong, Jinming Wen

“…Then, we prove that the proposed numerical methods are sufficient to preserve energy stability of the continuous problems. …”
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A Review of Computational Electromagnetic Methods for Graphene Modeling by Yu Shao, Jing Jing Yang, Ming Huang

“…To analyze its electromagnetic properties, several numerical methods have been developed for graphene simulation. …”
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ACCOUNT OF ELECTRODYNAMIC AFFECT OF SHORT-CIRCUIT CURRENTS WHILE DESIGNING FLEXIBLE CURRENT-CONDUCTING WIRES 6 – 10 KV OF ELECTRIC SUPPLY SYSTEMS by I. I. Sergey, Yu. V. Bladyko, E. G. Ponomarenko, B. D. Tsemekhman, L. A. Penko

“…While using simplified and numerical methods for calculation of wire dynamics optimum parameters of flexible current-conducting wires have been determined.…”
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Mathematical Study and Numerical Simulation of Multispectral Bioluminescence Tomography by Weimin Han, Wenxiang Cong, Ge Wang

“…We report some numerical results to illustrate the performance of the numerical methods on the quality of multispectral BLT reconstruction.…”
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Variable Step Size Adams Methods for BSDEs by Qiang Han

“…The coefficients in the numerical methods are inferred and bounded under appropriate conditions. …”
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Hopf Bifurcations of a Stochastic Fractional-Order Van der Pol System by Xiaojun Liu, Ling Hong, Lixin Yang

“…Based on the method, the stochastic system is reduced to the equivalent deterministic one, and then the responses of the stochastic system can be obtained by numerical methods. Then, according to the existence conditions of Hopf bifurcation, the critical parameter value of the bifurcation is obtained by theoretical analysis. …”
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A Note on Holography and Phase Transitions by Marc Bellon, Enrique F. Moreno, Fidel A. Schaposnik

“…Through simple analytical approximations, solutions to the equations of motion can be obtained in closed form which give rather good approximations of the results obtained using more involved numerical methods. The agreement we find stems from rather elementary considerations on perturbation of Schrödinger equations.…”
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Interference Design and Numerical Analysis of the Large Pump Gearbox Output Shaft by Tan Yonghu, Yang Changhui

“…With respect to the design calculation of the interference fit construction of the output shaft of cooling water pumps used in a nuclear power plant,the design calculation and checking are carried out by using standard formulas and numerical methods specified in the National Standards for limit and interference fit.The contact pressures at the maximum and minimum interference are obtained respectively,and the assessment of the reliability of transmitted torque and material is conducted,then the minimum temperature required for interference assembly is calculated,the protection for the safe and reliable operation of pump is provided.…”
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Dynamics of Mixed Dark Energy Domination in Teleparallel Gravity and Phase-Space Analysis by Emre Dil, Erdinç Kolay

“…We perform the phase-space analysis of the model by numerical methods and find the late-time accelerated attractor solutions implying the acceleration phase of universe.…”
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THE CONSTRUCTION OF THE LORENZ CURVE AND ESTIMATION OF INDICATORS OF DIFFERENTIATION OF MONETARY INCOMES OF POPULATION BASED ON EXPONENTIAL DISTRIBUTION by V. Lebedev, K. Lebedev

“…For a quantitative estimation of the parameters of the distribution function numerical methods of solving the problem of minimization of different criteria of the proximity of theoretical curve and statistical data were used.…”
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Numerical Solutions of Stochastic Differential Equations Driven by Poisson Random Measure with Non-Lipschitz Coefficients by Hui Yu, Minghui Song

“…The numerical methods in the current known literature require the stochastic differential equations (SDEs) driven by Poisson random measure satisfying the global Lipschitz condition and the linear growth condition. …”
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Elastoplastic modeling of fatigue cracks by K. A. Vansovich, V. I. Yadrov

“…Continuum plasticity models are proposed to simulate the elastoplastic behavior of metal using numerical methods and, in particular, the finite element method.…”
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Computational Methods for Solving Linear Fuzzy Volterra Integral Equation by Jihan Hamaydi, Naji Qatanani

“…To display the validity and applicability of the numerical methods, one illustrative example with known exact solution is presented. …”
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