An Elitist Transposon Quantum-Based Particle Swarm Optimization Algorithm for Economic Dispatch Problems by Angus Wu, Zhen-Lun Yang

“…It is a complex and highly nonlinear constrained optimization problem. The proposed approach, double elitist breeding quantum-based particle swarm optimization (DEB-QPSO), makes use of two elitist breeding strategies to promote the diversity of the swarm so as to enhance the global search ability and an improved efficient heuristic handling technique to manage the equality and inequality constraints of ED problems. …”
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Inelastic Moment Resistances of Welded Steel Beams with Initial Shape Imperfections by Van Pham Phe, Doan-Tan Thi, Le-Dang Dung, Xuan-Huy Nguyen

“…Numerical procedures based on geometric and material nonlinearities are proposed in the present study to evaluate the inelastic responses of welded steel beams with the initial shape imperfections of welds, braces and out-of-straightness. …”
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The surface of non-linear rotation by K. L. Panchuk, T. M. Myasoyedova

“…Several propositions, a lemma and a theorem are proved, which allow one to form the initial data in the problem of nonlinear rotation, the solution of which is the parametric equations of smooth surfaces. …”
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Two-Stage Adaptive Optimal Design with Fixed First-Stage Sample Size by Adam Lane, Nancy Flournoy

“…For simplicity, we assume a nonlinear regression model with normal errors. We show that the distribution of the maximum likelihood estimates converges to a scale mixture family of normal random variables. …”
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Enhancing collapse performance of vulnerable RC frames through steel Bracing: A FEMA P695 methodology study by Ali Sadeghpour, Giray Ozay

“…Sixty archetypes undergo comprehensive analysis, including 15,800 nonlinear dynamic analyses to calculate collapse probabilities under total uncertainties. …”
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Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative by Xin Liu, Kamran, Yukun Yao

“…The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and in financial mathematics. …”
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Effects of Soret and Dufour on Unsteady Magneto-Convective Transport through a Vertical Perforated Sheet with Chemical Reaction by Md. Mosharrof Hossain, Md. Hasanuzzaman, A. Rahim Laskar, Ashish Barmon

“…The model that formed nonlinear governing equations is transformed by applying the similarity analysis with the help of the finite difference method. …”
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A Method for Determining the Mesh Stiffness of Internal Gear by Combining Finite Element Method and Contact Theory by Chang Lehao, Tian Hongwei, He Zhaoxia, Liu Geng

“…The mesh stiffness and load distribution can be obtained after solving the nonlinear contact equilibrium equations. Compared with the conventional finite element method,the proposed method has higher computational efficiency and stability. …”
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Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver by R. Mahmood, N. Kousar, M. Yaqub, K. Jabeen

“…The discretized systems of nonlinear equations are treated by using the Newton method and the inner linear subproablems are solved by the direct solver UMFPACK. …”
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Melatonin in Epilepsy: A New Mathematical Model of Diurnal Secretion by Justyna Paprocka, Marek Kijonka, Marcin Pęcka, Maria Sokół

“…The diurnal melatonin secretion was described using a nonlinear least squares method. Spearman’s rank correlation coefficient was chosen to estimate the dependence of the acquired data. …”
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Development of Epoxy-Polyester Composite with Improved Thermophysical Properties for Restoration of Details of Sea and River Transport by A. Buketov, M. Brailo, S. Yakushchenko, A. Sapronova

“…It was found that introducing the polyester resin into the epoxy oligomer in quantity of q = 10 mas.fr. leads to improving the Martens thermal resistance of the material to the T = 352 K and decreasing the linear shrinkage to the Δl = 0.06%. The nonlinear dependence of the TCLE on the temperature was confirmed, and the tendency of changes in their values, depending on the content of polyester resin, was defined. …”
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Dinámicas de la violencia en una realidad disruptiva: la deshumanización acelerada por la IA by Reinaldo Batista Cordova

“…These are three complex and nonlinear concepts, which implies an implicit difficulty in relating them to understand a possible, yet not evident correlation. …”
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Neural network blind equalization optimized by parallel genetic algorithm with partial elitist strategy by Er-fu WANG, Yuan-shuo ZHENG, Xin-wu CHEN

“…The simulation results under the nonlinear channel condition show that the method has better convergence performance.…”
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Numerical Study on Tsunami Hazard Mitigation Using a Submerged Breakwater by Taemin Ha, Jeseon Yoo, Sejong Han, Yong-Sik Cho

“…In this study, a numerical model using a large eddy simulation is employed to predict the runup heights of nonlinear waves that passed a submerged structure in the surf zone. …”
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Robust Control for the Suspension Cable System of the Unmanned Helicopter with Sensor Fault under Complex Environment by Rong Mei

“…To suppress the swing of the hanging load when the unmanned helicopter is in the forward flight state, a nonlinear line motion model is firstly established. …”
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Research on Hysteresis of Piezoceramic Actuator Based on the Duhem Model by Miaolei Zhou, Jingyuan Wang

“…The paper used the polynomial function to approach the piecewise continuous function and f(v) and g(v) in the Duhem model, adopted recursive least squares algorithm and gradient correction algorithm to identify parameter α, polynomial coefficients of f and g in the Duhem model, and established the nonlinear parametric model of the piezoceramic actuator. …”
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ANN-Enhanced Energy Reference Models for Industrial Buildings: Multinational Company Case Study by Younes Ouaomar, Said Benkechcha, Mourad Kaddiri

“…It demonstrates that combining nonlinear regression with neural network modeling enhances predictive accuracy while maintaining the inherent simplicity of ANNs. …”
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Elementi di interfaccia per l’analisi di strutture murarie by Elio Sacco, Jessica Toti

“…Some numerical applications are performed in order to assess the performances of the proposed model and algorithm in reproducing the nonlinear response of masonry material due to damage localization. …”
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Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations by Jian-ming Qi, Fu Zhang, Wen-jun Yuan, Zi-feng Huang

“…The idea introduced in this paper can be applied to other nonlinear evolution equations. Our results show that all rational and simply periodic traveling wave exact solutions of the equations (BLP) are solitary wave solutions, the complex method is simpler than other methods, and there exist some rational solutions ur,2(z) and simply periodic solutions us,2–6(z) which are not only new but also not degenerated successively by the elliptic function solutions. …”
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OPTIMAL ANALYSIS OF THE SHOULDER END STRUCTURE OF SPRING CLIP-Ⅲ FASTENINGS IN METRO LINES by ZHANG ShuFeng, WEN ZeFeng, SHANG HongXia, JIN XueSong

“…Based on the nonlinear contact theory,a finite element model of spring clip-III fastening system used in metro lines is established. …”
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