Defective Laplacians and paradoxical phenomena in crowd motion modeling by Maury, Bertrand

“…In these contexts, the discrete Laplace operator enjoys all the properties of its continuous counterpart, in particular: self-adjointness, variational formulation, stochastic interpretation, mean value property, maximum principle, ...In a first part, we give a detailed description of the correspondence between these mathematical properties and modeling considerations, in contexts where the continuous and the discrete settings perfectly match. …”
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Optimized Super-Twisting Sliding Mode Control with Parameter Estimation for Autonomous Vehicle Longitudinal Motion on Downhill Road by Kbrom Lbsu Gdey, Woo Young Choi

“…The proposed system’s mathematical modeling and control design are presented in detail with stability analyzed using Lyapunov theory. …”
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A Hybrid Constraints Handling Strategy for Multiconstrained Multiobjective Optimization Problem of Microgrid Economical/Environmental Dispatch by Xin Li, Jingang Lai, Ruoli Tang

“…In this paper, the mathematical model of a typical MG system applied in northwest China is established. …”
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Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity by Seung Sook Shin, Sang Deog Park, Byoung Koo Choi

“…The power law is the most suitable mathematical expression used to relate rainfall kinetic energy and rainfall intensity. …”
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Hierarchical Matrices Method and Its Application in Electromagnetic Integral Equations by Han Guo, Jun Hu, Hanru Shao, Zaiping Nie

“…Hierarchical (H-) matrices method is a general mathematical framework providing a highly compact representation and efficient numerical arithmetic. …”
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A Probabilistic Protocol for Multihop Routing in VANETs by Junichiro Fukuyama

“…In this paper, we present an algorithm to precompute the probability that communication is possible between specified source and destination in a VANET, under certain mathematical assumption. The proposed new protocol for multihop communication refers to a lookup table containing the precomputed data to decide a good packet forwarder quickly. …”
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A review on challenges and future of green charging networks for zero emission electric transportation by Ijaz Ahmed, Muhammad Maaruf, Amjad Ali, Mohammad AlMuhaini, Muhammad Khalid

“…Using independent and interlinked mathematical models, authors examine contemporary computational approaches that manage corporate architectural challenges in novel manners. …”
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The Pear Aroma in the Austrian Pinot Blanc Wine Variety: Evaluation by Means of Sensorial-Analytical-Typograms with regard to Vintage, Wine Styles, and Origin of Wines by Christian Philipp, Phillip Eder, Walter Brandes, Elsa Patzl-Fischerleitner, Reinhard Eder

“…Therefore, specific odour activity values for the various sensations could be calculated with a mathematical combination of the analyses and the results of the sensory studies. …”
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A Decision-Making Model for Deterring Food Vendors from Selling Harmless Low-Quality Foods as High-Quality Foods to Consumers by Po-Yu Chen

“…Adopting the standpoint of the public sector in food safety management, this study developed a mathematical model that facilitates discussion on the aforementioned problems. …”
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Prediction of Epileptic Seizure by Analysing Time Series EEG Signal Using k-NN Classifier by Md. Kamrul Hasan, Md. Asif Ahamed, Mohiuddin Ahmad, M. A. Rashid

“…Using the statistical parameters and regression analysis, a prototype mathematical model is proposed which helps to find the epileptic randomness with respect to the age of different subjects. …”
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A Novel Numerical Algorithm for Optimal Sizing of a Photovoltaic/Wind/Diesel Generator/Battery Microgrid Using Loss of Load Probability Index by Hussein A. Kazem, Tamer Khatib

“…The objective of the proposed optimization is to design the system that can supply a building load demand at minimum cost and maximum availability. The mathematical models for the system components as well as meteorological variables such as solar energy, temperature, and wind speed are employed for this purpose. …”
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On the Investigation of State Space Reconstruction of Nonlinear Aeroelastic Response Time Series by Flávio D. Marques, Eduardo M. Belo, Vilma A. Oliveira, José R. Rosolen, Andréia R. Simoni

“…Stall-induced aeroelastic motion may present severe non-linear behavior. Mathematical models for predicting such phenomena are still not available for practical applications and they are not enough reliable to capture physical effects. …”
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Using microtremor data to obtain dynamic properties of soils in the Veracruz-Boca del Rio metropolitan areaMendeley Data by José E. Barradas-Hernández, Sergio Márquez-Domínguez, Franco Antonio Carpio-Santamaria, Alejandro Vargas-Colorado, Abigail Zamora-Hernández, Roberto Rivera-Baizabal

“…These models represent a mathematical approximation of the soil structure that can be used to dynamically classify it according to Mexican technical codes.…”
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Experimental Study on Expansion Characteristics of Core-Shell and Polymeric Microspheres by Pengxiang Diwu, Baoyi Jiang, Jirui Hou, Zhenjiang You, Jia Wang, Liangliang Sun, Ye Ju, Yunbao Zhang, Tongjing Liu

“…Based on the experimental results, the core-shell microsphere is suitable for injection in the early stage to block the near-wellbore zone, and the polymeric microsphere is suitable for subsequent injection to block the formation away from the well. A simple mathematical model is proposed for size evolution of the polymeric and core-shell microspheres.…”
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Multi-objective assessment of hydrological model performances using Nash–Sutcliffe and Kling–Gupta efficiencies on a worldwide large sample of watersheds by Mathevet, Thibault, Le Moine, Nicolas, Andréassian, Vazken, Gupta, Hoshin, Oudin, Ludovic

“…We also illustrate the negative impacts of classical mathematical transformations (square root) applied to streamflow when employing NSE and KGE as metrics for model calibration.…”
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Application of physics-informed neural networks (PINNs) solution to coupled thermal and hydraulic processes in silty sands by Yuan Feng, Jongwan Eun, Seunghee Kim, Yong-Rak Kim

“…This neural network model leverages automatic differentiation to apply the governing equations as constraints, based on the mathematical approximations established by the neural network itself. …”
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Effect of Raphia vinifera Fibre Size and Reinforcement Ratio on the Physical and Mechanical Properties of an Epoxy Matrix Composite: Micromechanical Modelling and Weibull Analysis by Syrille Brice Tchinwoussi Youbi, Omar Harzallah, Nicodème Rodrigue Sikame Tagne, Paul William Mejouyo Huisken, Tido Tiwa Stanislas, Jean-Yves Drean, Sophie Bistac, Ebenezer Njeugna

“…Furthermore, the Cox–Krenkel mathematical model has the best approximated model for the experimental results after the tensile test. …”
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Modeling of Throughput in Production Lines Using Response Surface Methodology and Artificial Neural Networks by Federico Nuñez-Piña, Joselito Medina-Marin, Juan Carlos Seck-Tuoh-Mora, Norberto Hernandez-Romero, Eva Selene Hernandez-Gress

“…Response surface methodology and artificial neural network were used to develop predictive models to find optimal throughput values. 360 production rate values for different number of buffer slots and workstations were used to obtain a fourth-order mathematical model and four hidden layers’ artificial neural network. …”
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Multiobjective Optimization Management of Construction Engineering Based on Ant Colony Algorithm by Xuejie Liang

“…Then, combined with the idea of multiobjective optimization, the multiobjective optimization mathematical model of construction process is constructed, and the construction data obtained from field investigation are summarized and analyzed to obtain the cost, construction period, and carbon emission of each process under different execution modes. …”
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Analysis and design of a fixed wing unmanned aerial vehicle gas launching system by LI Xiang, LI Qiang, WANG Teng, WANG Shaoquan, ZHANG Shiyu

“…In order to meet the development requirements of unmanned aerial vehicle (UAV) boosters, a detachable launch booster for fixed wing UAVs was designed, which is driven by high-pressure carbon dioxide gas. A mathematical model for gas launch was established based on the internal ballistic equation of the gas cannon. …”
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