Inflatable Leading Edge-Based Dynamic Stall Control considering Fluid-Structure Interaction by Shi-Long Xing, He-Yong Xu, Ming-Sheng Ma, Zheng-Yin Ye

“…A fluid-structure interaction (FSI) numerical method for the elastic membrane structure is constructed based on unsteady Reynolds-averaged Navier-Stokes (URANS) and a mass-spring-damper (MSD) structural dynamic model. …”
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Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents by Raimund BÜrger, Gerardo Chowell, Elvis GavilÁn, Pep Mulet, Luis M. Villada

“…., 13 (2015), 369-400]. An efficient numerical method for the resulting convection-diffusion-reaction system of partial differential equations is proposed. …”
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Numerical Simulations of the Lunar Penetrating Radar and Investigations of the Geological Structures of the Lunar Regolith Layer at the Chang’E 3 Landing Site by Chunyu Ding, Yan Su, Shuguo Xing, Shun Dai, Yuan Xiao, Jianqing Feng, Danqing Liu, Chunlai Li

“…In this paper, the random medium theory and Apollo drilling core data are used to construct a modeling method based on discrete heterogeneous random media, and the simulation data are processed and collected by the electromagnetic numerical method FDTD (finite-difference time domain). …”
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Stability Analysis of Host Claystone under T-M Coupling of HLW Disposal Repository in China: Experiments and Numerical Simulation by Haian Liang, Tan Tang, Longpeng Zhang, Xiaodong Liu, Shuai Liu, Ting Yang, Xinjun Cheng, Juan Zhang

“…Then the stability of surrounding rock of an HLW under the combination of heat release from HLW and in-situ stress is simulated and analyzed by numerical method. Thermal properties of Tamusu clay rock samples are obtained by testing their thermal conductivity. …”
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<i>DynPy</i>—Python Library for Mechanical and Electrical Engineering: An Assessment with Coupled Electro-Mechanical Direct Current Motor Model by Damian Sierociński, Bogumił Chiliński, Franciszek Gawiński, Amadeusz Radomski, Piotr Przybyłowicz

“…The model was solved in <i>DynPy</i> with the hybrid analytical–numerical method and fully analytically, while in <i>MATLAB/Simulink</i> strictly numerical simulations were run. …”
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Experimental and Numerical Research on Seismic Performance of Earthquake-Damaged RC Frame Strengthened with CFRP Sheets by Lai Wang, Wei Xuan, Ying Zhang, Shuping Cong, Feng Liu, Qiumei Gao, Haitao Chen

“…The strengthening effects of CFRP sheets on damaged RC frame were discussed in terms of hysteretic curve, skeleton curve, stiffness degradation, and ductility. In addition, numerical method based on fiber model method was utilized to analyze the seismic performance of KJ-1 and KJ-2 and it is compared with the experimental result. …”
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Evaluation Method of the Vertical Well Hydraulic Fracturing Effect Based on Production Data by Debin Xia, Zhengming Yang, Daolun Li, Yapu Zhang, Ying He, Yutian Luo, Anshun Zhang, Wenming Wang, Xinli Zhao

“…Based on the characteristics of the flow in fracture network after a large-scale hydraulic fracturing, a numerical method for evaluating the effect of fracturing in vertical well was established. …”
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Water quality model-based methodology to assess assimilative capacity of wastewater discharges in rivers by F.M. Torres-Bejarano, M. Verbel-Escobar, M.C. Atencia-Osorio

“…BACKGROUND AND OBJECTIVES: One of the negative impacts of polluting activities on aquatic ecosystems is the loss of its natural self-purification ability, for this reason, the purpose of this research was to evaluate the Sinú river capacity to assimilate wastewater discharges.METHODS: Monitoring of several water quality parameters was carried out in the river at different seasons and a numerical method was used to simulate different scenarios through the Environmental Fluid Dynamics Code model. …”
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Investigation of Heat and Mass Transfer in the Process of Fuel Preparation from Biomass Particles with High Moisture by A. V. Mitrofanov, O. B. Kolibaba, R. N. Gabitov, D. A. Dolinin, S. V. Vasilevich

“…In the course of the study, the following tasks were solved: a numerical method was developed for describing the processes of internal and external heat and mass transfer problems using an explicit difference approximation of differential equations of heat and mass transfer; parametric identification of the proposed one-dimensional mathematical model was performed using empirical dependencies known from literature sources; empirical verification of the proposed mathematical model was carried out by comparing the calculated forecasts obtained with the results of their own field experiments. …”
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New Leakage Model for Naturally Fractured Formations Considering the Effects of Dual-System Hydro-Mechanical Coupling by Hao Peng, Qian Li, JiaJia Gao, Hu Yin, Jun Wang

“…The new leakage model and numerical method concerning time-step deduction are assessed by solving the issues of fully coupled fracture-wall and fracture-inner systems considering drilling fluid leak-off. …”
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Investigation on Influences of  Two Discrete Methods on Galloping Characteristics of Iced Quad Bundle Conductors by Xiaohui Liu, Guangyun Min, Chuan Wu, Mengqi Cai

“…Finally, based on the numerical method, the displacement response of the two discrete methods is obtained. …”
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Thermodynamics and solar radiative analysis in Jeffery-Hamel flow through non-parallel channel by novel improved residual power series method by Mohamed Bouzidi, Mohsin Ul Haq, Ikram Ullah, Saira Shukat, Hijaz Ahmad, Mohammad Mahtab Alam, Hamid Khan, Marouan Kouki

“…The novel IRPSM, which is sami-numerical method, is utilized to work out on the solutions of obtained system of ODEs. …”
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Electron Acceleration by Multiple Fast Fermi Reflections at Earth’s Bow Shock by Y. Y. Liu, J. B. Cao, C. M. Liu, Y. T. Song, D. K. Hu

“…The spacecraft observation of accelerated electrons is reproduced with a numerical method based on the reflection model. Such an acceleration process may be a potential solution to the injection problem.…”
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Excitation of ULF, ELF, and VLF Resonator and Waveguide Oscillations in the Earth–Atmosphere–Ionosphere System by Lightning Current Sources Connected with Hunga Tonga Volcano Erupt... by Yuriy G. Rapoport, Volodymyr V. Grimalsky, Andrzej Krankowski, Asen Grytsai, Sergei S. Petrishchevskii, Leszek Błaszkiewicz, Chieh-Hung Chen

“…The electromagnetic field is determined from the dynamics in the ionosphere and from a quasi-stationary approach in the atmosphere, considering not only the electric component but also the magnetic one. An analytical/numerical method has been developed to investigate the excitation of the global Schumann resonator and the eigenmodes of the coupled Schumann and ionospheric Alfvén resonators in the ELF range and the eigenmodes of the Earth–ionosphere waveguide in the VLF range. …”
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Application of the Homotopy Perturbation Method to Solve Nonlinear Equations Arising in Oscillatory Systems by Mohammadjavad Mahmoodabadi, Neda Amiri

“…In this way, the performance of the Homotopy Perturbation Method (HPM) is compared with the numerical methods to find the solutions of nonlinear Equations in the vibration field. …”
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Generalized Runge-Kutta Method with respect to the Non-Newtonian Calculus by Uğur Kadak, Muharrem Özlük

“…Theory and applications of non-Newtonian calculus have been evolving rapidly over the recent years. As numerical methods have a wide range of applications in science and engineering, the idea of the design of such numerical methods based on non-Newtonian calculus is self-evident. …”
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Stability and Bifurcation for a Simply Supported Functionally Graded Material Plate with One-to-One Internal Resonance by Dongmei Zhang, Fangqi Chen

“…With both analytical and numerical methods, bifurcation behaviors on damping parameters and detuning parameters are studied, respectively. …”
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Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation by Xiaoli Qiang, Kamran, Abid Mahboob, Yu-Ming Chu

“…Therefore, we need numerical methods to invert the solution to the real domain. …”
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Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order by Asma Ali Elbeleze, Adem Kiliçman, Bachok M. Taib

“…This paper presents the application of homotopy perturbation and variational iteration methods as numerical methods for Fredholm integrodifferential equation of fractional order with initial-boundary conditions. …”
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A Review on Soil-Foundation-Interaction Models by Gaurav Pandey, Dhirendra Patel, Vishal Mourya, Rajesh Kumar, Suresh Kumar

“…This parameter can be calculated either through experiments or empirical formulas. Different numerical methods have also been presented along with a few literatures. …”
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