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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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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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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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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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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Improved Finite Control Set Optimal Control for PMSM in Rocket Launcher Servo System by Di-fen Shi, Yuan-long Hou, Xiao-hui Gu, Run-min Hou

“…Moreover, in order to improve tracking accuracy, Taylor’s formula is used to solve the phase-lag problem of nonlinear tracking differentiator in IFCSOC. Simulation shows that compared with conventional FCSOC, IFCSOC exhibits better robustness under random disturbances. …”
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Adaptive Neural Network Motion Control of Manipulators with Experimental Evaluations by S. Puga-Guzmán, J. Moreno-Valenzuela, V. Santibáñez

“…A nonlinear proportional-derivative controller plus adaptive neuronal network compensation is proposed. …”
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Solving “Antenna Array Thinning Problem” Using Genetic Algorithm by Rajashree Jain, G. S. Mani

“…From a mathematical perspective this is a nonlinear, multidimensional problem with multiple objectives and many constraints. …”
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Estimating Compressive Strength of High Performance Concrete with Gaussian Process Regression Model by Nhat-Duc Hoang, Anh-Duc Pham, Quoc-Lam Nguyen, Quang-Nhat Pham

“…This machine learning approach is utilized to establish the nonlinear functional mapping between the compressive strength and HPC ingredients. …”
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Optical features and thermal properties of charged AdS Euler–Heisenberg black hole surrounded by perfect fluid dark matter by M. R. Shahzad, G. Abbas, Tao Zhu, R. H. Ali, Asifa Ashraf, Badr S. Al-Kahtani

“…Abstract In this article, motivated by the high interest in Euler–Heisenberg nonlinear electrodynamic theory, we investigated several thermal aspects of the charged Euler–Heisenberg black hole surrounded by perfect fluid dark matter. …”
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Articulated Arm Coordinate Measuring Machine Calibration by Laser Tracker Multilateration by Jorge Santolaria, Ana C. Majarena, David Samper, Agustín Brau, Jesús Velázquez

“…The spatial localization of a retroreflector target, placed in different positions within the workspace, is determined by means of a geometric multilateration system constructed from the four LTs. Next, a nonlinear optimization algorithm for the identification procedure of the AACMM is explained. …”
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Empirical Mode Decomposition Combined with Local Linear Quantile Regression for Automatic Boundary Correction by Abobaker M. Jaber, Mohd Tahir Ismail, Alssaidi M. Altaher

“…Empirical mode decomposition (EMD) is particularly useful in analyzing nonstationary and nonlinear time series. However, only partial data within boundaries are available because of the bounded support of the underlying time series. …”
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Dynamic Modeling and Simulation of a Super-High-Speed Circumferential-Flux Hysteresis Motor by A. Halvaei Niasar, M. Zare, H. Moghbelli

“…This paper presents the dynamic performance characteristics of hysteresis motors using a Matlab/Simulink software. A nonlinear mathematical model based on a d-q axis theory in the rotor reference frame is applied to study the starting and synchronization processes of a hysteresis machine with a circumferential-flux-type rotor. …”
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3D Wavelet Subbands Mixing for Image Denoising by Pierrick Coupé, Pierre Hellier, Sylvain Prima, Charles Kervrann, Christian Barillot

“…Comparison with wellestablished methods, such as nonlinear diffusion filter and total variation minimization, shows that the proposed NL-means filter produces better denoising results. …”
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Backcalculation of Finite-Element Modeling Based on Field Measurements Results of Excavation in Steel Sheet Pile Walls by Zoa Ambassa, Jean Chills Amba, Merlin Bodol Momha, Landry Djopkop Kouanang

“…The study presents a development of a nonlinear finite element calculation technique for the prediction of the stability of the multistaged deep excavation in submerged multilayered soft soil retained by steel sheet pile walls structures performed from Cast3M FE code. …”
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Analysis of Flue Gas Emission Data from Fluidized Bed Combustion Using Self-Organizing Maps by Mika Liukkonen, Mikko Heikkinen, Eero Hälikkä, Teri Hiltunen, Yrjö Hiltunen

“…The goals of the study were to find dependencies between process variables and the concentrations of gaseous emission components and to create multivariate nonlinear models describing their formation in the process. …”
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