Dynamic Behaviors of a Two-Degree-of-Freedom Impact Oscillator with Two-Sided Constraints by Songtao Li, Qunhong Li, Zhongchuan Meng

“…The dynamic model of a vibroimpact system subjected to harmonic excitation with symmetric elastic constraints is investigated with analytical and numerical methods. The codimension-one bifurcation diagrams with respect to frequency of the excitation are obtained by means of the continuation technique, and the different types of bifurcations are detected, such as grazing bifurcation, saddle-node bifurcation, and period-doubling bifurcation, which predicts the complexity of the system considered. …”
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CFD Analysis on the Effect of Radial Gap on Impeller-Diffuser Flow Interaction as well as on the Flow Characteristics of a Centrifugal Fan by K. Vasudeva Karanth, N. Yagnesh Sharma

“…Many research works have been undertaken using experimental and numerical methods on the impeller-diffuser interactive phenomenon. …”
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Geometric Models for Isotropic Random Porous Media: A Review by Helmut Hermann, Antje Elsner

“…Volume fraction, surface area, and correlation functions are given explicitly where applicable; otherwise numerical methods for determination are described. Effective medium theory is applied to calculate physical properties for the models such as isotropic elastic moduli, thermal and electrical conductivity, and static dielectric constant. …”
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Influence of Crumb-Rubber in the Mechanical Response of Modified Portland Cement Concrete by J. Retama, A. G. Ayala

“…Results showed that the numerical methods provide good approximation of the experimental curve in the elastic and softening branches.…”
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Chaotic Vibration Prediction of a Free-Floating Flexible Redundant Space Manipulator by Congqing Wang, Linfeng Wu

“…Then, the chaotic dynamic behavior of the manipulator is analyzed by chaotic numerical methods, in which time series, phase plane portrait, Poincaré map, and Lyapunov exponents are used to analyze the chaotic behavior of the manipulator. …”
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Fast Hybrid Method for the Study on Monostatic Scattering from Plasma-Coated Target above a Rough Surface by Rui Wang, Shui-Rong Chai, Li-Xin Guo

“…Without numerical solution of the polarization currents on the target and the surface, this hybrid method does not only save computer resources but also improve the computing speed significantly in contrast to the numerical methods. The hybrid method based on equivalent principle and reciprocity theorem, which is an improved and generalized version of the traditional multipath technique, can deal with the interactions between plasma-coated target and underlying surface much more accurately. …”
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HPM-Based Dynamic Sparse Grid Approach for Perona-Malik Equation by Shu-Li Mei, De-Hai Zhu

“…The experiment results show that the dynamic choice scheme of the external gird points can eliminate the boundary effect effectively and the efficiency can also be improved greatly comparing with the classical interval wavelets numerical methods.…”
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Irreversible Thermodynamic Description of Dark Matter and Radiation Creation during Inflationary Reheating by Juntong Su, Tiberiu Harko, Shi-Dong Liang

“…The role of the different inflationary scalar field potentials is analyzed by using analytical and numerical methods. The values of the energy densities of relativistic matter and dark matter reach their maximum when the Universe is reheated up to the reheating temperature, which is obtained as a function of the scalar field decay width, the scalar field particle mass, and the cosmological parameters. …”
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Enhancing Hydraulic Efficiency of Pelton Turbines Through Computational Fluid Dynamics and Metaheuristic Optimization by Guillermo Barragan, Sebastian Atarihuana, Edgar Cando, Victor Hidalgo

“…In this work, the NSGA-II multi objective genetic algorithm, numerical methods, and parametric design techniques found in the Autodesk Inventor professional 2023 CAD software were combined to perform the geometrical optimization of the Pelton bucket geometry. …”
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Evaluation of the Economic Relationships on the Basis of Statistical Decision-Making in Complex Neutrosophic Environment by Abdul Nasir, Naeem Jan, Abdu Gumaei, Sami Ullah Khan, Mabrook Al-Rakhami

“…Researchers have developed numerous methods and techniques to cope with fuzziness or uncertainty. …”
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Generation of vector vortex pin-like beams and their propagation in turbulent atmosphere by Jia Li, Huijian Liang, Gaofeng Wu, Peipei Peng, Fei Wang, Yangjian Cai

“…In this study, we analyzed and derived the propagation characteristics of vector vortex pin beams (VVPBs) in free space and simulated their behavior under atmospheric turbulence using numerical methods. Our simulations demonstrate that, under identical conditions, VVPBs exhibit lower scintillation indices and beam wander compared to pin beams (PBs) over long distances. …”
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Numerical Time-Domain Modeling of Lamb Wave Propagation Using Elastodynamic Finite Integration Technique by Hussein Rappel, Aghil Yousefi-Koma, Jalil Jamali, Ako Bahari

“…Modern simulation tools based on numerical methods such as finite integration technique (FIT), finite element method (FEM), and boundary element method (BEM) may be used for modeling. …”
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Dynamics of a mechanical system with nonlinear elastic suspension and spectral analysis of the results by V. A. Nekhaev, V. A. Nikolaev, A. N. Smalev, K. O. Seryakov

“…It is also noted that even simple nonlinear mechanical systems in the study of dynamics should use approximate analytical and numerical methods in combination with spectral analysis, since traditional methods of nonlinear mechanics are not adapted to solving problems taking into account a relatively large number of harmonic components that appear due to nonlinearity.…”
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Very Fast and Accurate Procedure for the Characterization of Photovoltaic Panels from Datasheet Information by Antonino Laudani, Francesco Riganti Fulginei, Alessandro Salvini, Gabriele Maria Lozito, Salvatore Coco

“…In recent years several numerical methods have been proposed to identify the five-parameter model of photovoltaic panels from manufacturer datasheets also by introducing simplification or approximation techniques. …”
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Separation effectiveness of ideal ion exchange membranes: Application of the Gibbs-Donnan theory. by Jacek Waniewski, Leszek Pstras, Mauro Pietribiasi

“…For both cases, the presented nonlinear algebraic equations require in general the use of numerical methods to approximate their mathematical solutions, although we present as well some closed solutions for simple cases with ideal ionic mixtures. …”
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Richards equation for the assessment of landslide hazards by Ramesh Chandra Timsina

“…This necessitates the development of innovative and robust numerical methods for accurate simulations. We introduce a numerical procedure that linearizes the Richards equation using the Kirchhoff integral transformation, followed by discretization with various time-stepping schemes. …”
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Analysis of a Benchmark Building Installed with Tuned Mass Dampers under Wind and Earthquake Loads by S. Elias, R. Rupakhety, S. Olafsson

“…The coupled equations of motion are formulated and solved using numerical methods. The uncontrolled building (NC) and the controlled building are subjected to a set of 100 earthquake ground motions and wind forces. …”
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Resilient Performance of Self-Centering Hybrid Rocking Columns: Theory, Experiment, and Numerical Simulation by Shi Yan, Tao Wang, Xing Su

“…The resilient performance of the proposed RED-HRC was investigated by using theoretical, experimental, and numerical methods. The yield states of the designed RED are taken as the control points to establish theoretically the corresponding relationship f (M, θ) between the overturning moment M and the rotation angle θ of the RED-HRC. …”
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Advanced ellipse overlap computation based on segment area of circles by Minhye Kim, Yongkuk Kim, Giphil Cho

“…To address the numerical limitations that may arise when calculating the overlapping area of two ellipses using algebraic and numerical methods, we propose a novel approach aimed at improving numerical accuracy. …”
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Numerical Simulation of Bedrock Sagging Sinkholes in Strain-Softening Rock Induced by Embankment Construction by Zhen Zhang, Zhongda Chen

“…The stress-strain curves of the specimens were reproduced by numerical methods. Then, bedrock sagging sinkholes in strain-softening rock induced by embankment construction were simulated. …”
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