Analysis of seepage through an earth dam with a diaphragm on an impermeable foundation using PLAXIS 2D by G. V. Orekhov, Tran Manh Cuong

“…In this paper, the analysis of the seepage regimes in the body of earth dams is performed by means of mathematical modelling using numerical finite element models. …”
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Developing a hybrid model for comparative analysis of financial data clustering algorithms by Mojtaba Movahedi, Mahdi Homayounfar, Mehdi Fadaei, Mansour Soufi

“…Due to the importance of using these algorithms in analyzing financial market data that have a high volume and scope, this study in order to select the best clustering algorithm for clustering companies listed on the Tehran Stock Exchange in the field of finance from It has used different clustering algorithms and evaluated the validity of these algorithms and selected the best algorithm.Methodology: This research is applied in terms of purpose and descriptive in terms of implementation method and is of quantitative type (mathematical modeling). The statistical population of the research includes 403 companies listed on the Tehran Stock Exchange in 2019, whose performance has been evaluated based on four financial criteria.Findings: After clustering the surveyed companies by five clustering algorithms, namely K-means, EM, COBWEB, density-based algorithm and ward method, seven indicators RS, DB, Dun, SD, Purity, Entropy and Time were used to evaluate the algorithms. …”
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A Study on Dynamic Characteristics of Satellite Antenna System considering 3D Revolute Clearance Joint by Zhengfeng Bai, Jijun Zhao

“…The dynamics modeling and analysis of the satellite antenna system are investigated considering the 3D revolute clearance joint. Firstly, the mathematical model of the 3D revolute clearance joint is established, and the definitions of the radial and axial clearance are presented. …”
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Recent Developments in Ventricular Assist Device Therapy by Angel Moctezuma-Ramirez, Haseeb Mohammed, Austin Hughes, Abdelmotagaly Elgalad

“…Romanian researchers have used advanced mathematical modeling and three-dimensional (3D) printing to produce a rim-driven, hubless axial-flow pump, achieving efficient blood flow with a compact design that includes a wireless power supply to reduce infection risk. …”
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Thermal performance and MHD peristaltic flow of hybrid nanofluid (Au-Ta/Blood) in an asymmetric conduit with electro-osmosis and shape factor effects by K. Thirunavukarasan, G. Sucharitha

“…The current research aims to create a mathematical model for targeted drug delivery systems, applicable in areas like cancer treatment, genetic disorder therapies, and infection management. …”
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Vaccine-induced reduction of COVID-19 clusters in school settings in Japan during the epidemic wave caused by B.1.1.529 (Omicron) BA.2, 2022 by Yuta Okada, Hiroshi Nishiura

“…Given this background and considering that vaccine effectiveness against school transmission has not been intensively studied, this paper proposes a mathematical model that links the occurrence of clustering to the case count among populations aged 0–19, 20–59, and 60+ years of age. …”
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Analysis of the Outer Contour Characteristics of Roadway Forming under the Influence of Cutting Head Vibration by Zhixiang Liu, Shuai Wang, Miao Xie, Chunxue Xie

“…The variation law of the vibration swing angle of the cutting head under different working conditions was obtained, and the coordinate of the cutting head of the roadheader in the roadway space coordinate system was determined by using the robot kinematics analysis method. The mathematical model of cutting the outer outline of the roadway by the cutting head is constructed. …”
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Numerical Simulation of Channelization Near the Wellbore due to Seepage Erosion in Unconsolidated Sands during Fluid Injection by Jin Sun, Shiguo Wu, Jingen Deng, Qingping Li, Qi Fan, Linwei Ma, Yanrui Liu

“…Based on the continuum mechanics, a mathematical model has been established to simulate the formation process of big channels in unconsolidated sands reservoir during fluid injection. …”
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A Method for Predicting the Timing of Mine Earthquakes Based on Deformation Localization States by Chenli Zhu, Linlin Ding, Yimin Song, Yuda Li

“…A predictive model algorithm for forecasting mine earthquake timing was developed based on Saito’s theory, integrating optics, acoustics, and mathematical modeling theories. The “quiet period” was identified as a significant precursor; thus, the model used the initiation of deformation localization to accurately predict rock failure. …”
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The Optimization of UAV-Assisted Downlink Transmission Based on RSMA by Lin Huang, Daiming Qu, Jianguo Zhou, Jialin Zhang

“…We first develop a mathematical model of the system and decompose the primary optimization problem into multiple subproblems according to parameter types. …”
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The Research on Strain-Softening Characteristics and Local Fracture Law of Deep Granite Roadway by Chuang Sun, Yunhe Ao, Laigui Wang

“…A strain-softening model was developed based on plasticity theory for granite which took into account the nonlinear dilatancy angle and confining pressure. A mathematical model was developed using FLAC3D as platform. …”
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DYNAMIC CHARACTERISTICS SIMULATION ANALYSIS AND MICROSCOPIC MODEL OF RUBBER CONVEYOR BELT OF STEEL CORE by CHEN HongYue, ZHANG Kun, LI EnDong, LI YongHong, MAO Jun

“…It is the key for the development of green energy-saving belt conveyor to analysis and research on the rubber conveyor belt of steel core about its dynamic characteristics. Mathematical model of the rubber conveyor belt of steel core were established based on the space coordinate transformation theory. …”
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Geographical Peer Matching for P2P Energy Sharing by Romaric Duvignau, Vincenzo Gulisano, Marina Papatriantafilou, Ralf Klasing

“…We define and analyze in this work a precise mathematical modeling of the geographical peer matching problem, and demonstrate the inherent intractability of the problem, highlighting its high computational cost and underscoring the critical need for scalable approaches that effectively balance performance trade-offs as system size grows. …”
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Problematic Issues of Calculating the Size of Damage from the Use of Land Plots for Other Purposes within the Practice of Law Enforcement Agencies by I. V. Bryhadyr, I. V. Panova

“…The foundations of the research methodology constitute: comparative and legal method, which assisted to study the requirements of EU and Ukrainian legislative acts; the method of systematic analysis, which allowed to reveal the legal mechanisms for calculating the amount of damage caused to the state and territorial communities from the use of land plots for other purposes; method of mathematical modeling, which allowed to form propositions for improving the formula of calculating the damage caused by the misuse of land plots. …”
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An Algorithm for Optimal Allocation of Water Resources in Receiving Areas Based on Adaptive Decreasing Inertia Weights by Fei Li, Guang Zhang, Shaohua Hu

“…This paper firstly selects the minimum loss of water resources allocation as the objective function for mathematical modelling, chooses the particle swarm algorithm as the objective algorithm, and proposes a particle swarm algorithm based on the standard particle swarm algorithm with improved adaptive decreasing inertia weights. …”
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Impact of nanoparticles shapes and fuzzy volume fraction on Al2O3 – H2O nanofluid flow past an unsteady expandable surface by Adnan Saeed Butt, Naveed Yaqoob, Sameea Akbar, Gul M. Shaikh, Adeeba Farhat, Fouzia Amir, Mohamed R. Ali

“…To accomplish this, a comprehensive mathematical model is developed, integrating the Navier-Stokes and energy equations to characterize nanofluid flow over an extending surface and examine nanoparticle shape effects. …”
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A New Method for Research on Unsteady Pressure Dynamics and Productivity of Ultralow-Permeability Reservoirs by Kun Wang, Li Li, Xiao Chen, Wei Liang, Yong Yang, Zhenghe Yan, Jianwen Dai, Wei Li, Yahui Wang, Weifang Wang, Min Li, Danling Wang

“…On that basis, instead of a constant skin factor, a well-test interpretation mathematical model is established by defining and using a time-varying skin factor. …”
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Mine Geological Environment Monitoring and Risk Assessment in Arid and Semiarid Areas by Jiaqi Jin, Chicheng Yan, Yixuan Tang, Yilong Yin

“…Based on the above background, this thesis takes the coal mining area in the arid and semiarid regions as an example; applies the theories of ecology, coal mining subsidence, geodesy, and ecological restoration; uses remote sensing in synthetic aperture radar (SAR), geographic information system (GIS), and mathematical modelling to reveal the ecological evolution law of the mining area; measures the ecological damage of the mining area; and then proposes a reasonable ecological restoration strategy. …”
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A Proactive Robust Scheduling Method for Aircraft Carrier Flight Deck Operations with Stochastic Durations by Xichao Su, Wei Han, Yu Wu, Yong Zhang, Jie Liu

“…On this basis, a mathematical model of the robust scheduling problem for flight deck operation (RSPFDO) is established, and the goal is to maximize the probability of completing within the limitative makespan (PCLM) and minimize the weighted sum of expected makespan and variance of makespan (IRM). …”
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Fleet Management for HDVs and CAVs on Highway in Dense Fog Environment by Bowen Gong, Ruixin Wei, Dayong Wu, Ciyun Lin

“…As to improve the traffic flow throughput and driving safety in dense fog weather condition on highway, this paper uses a mathematical modeling method to study and control the fleet mixed with human-driven vehicles (HDVs) and connected automatic vehicles (CAVs) in dense fog environment on highway based on distributed model predictive control algorithm (DMPC), along with considering the car-following behavior of HDVs driver based on cellular automatic (CA) model. …”
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