Relevant bibliographies by topics / Non-Euclidean mathematical model parameters

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Non-Euclidean mathematical model parameters'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Non-Euclidean mathematical model parameters"

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Tashlinskii, A. G., A. V. Zhukova, and D. G. Kraus. "Convergence characteristics at stochastic estimation of image inter-frame deformations." Information Technology and Nanotechnology, no. 2391 (2019): 114–20. http://dx.doi.org/10.18287/1613-0073-2019-2391-114-120.

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Several approaches to the numerical description of image inter-frame geometric deformations parameters estimates behavior at iterations of non-identification relay stochastic gradient estimation are considered. The probability density of the Euclidean mismatch distance of estimates vector is chosen as an argument of the characteristics forming the numerical values. It made it possible to ensure invariance of research to the set of parameters of the used inter-frame geometric deformations model. The mathematical expectation, the probability of exceeding a given threshold value of the convergenc
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Pires da Silva, P., Serge Sutulo, and C. Guedes Soares. "Sensitivity Analysis of Ship Manoeuvring Mathematical Models." Journal of Marine Science and Engineering 11, no. 2 (2023): 416. http://dx.doi.org/10.3390/jmse11020416.

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Sensitivity analysis is applied to ship manoeuvring mathematical models as a means of dealing with model uncertainties, and often leads to model simplifications. A rather standard 3DOF manoeuvring model was tuned with the available results of full-scale trials of a naval combatant and was further used as the reference model for sensitivity analysis. The present research was based on multiple perturbed simulations of the turning, zigzag and spiral manoeuvres. A salient feature of the present study is that the perturbations were applied to the total hydrodynamic forces and moments as well as sep
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Liang, Yingjie, Ninghu Su, and Wen Chen. "A time-space Hausdorff derivative model for anomalous transport in porous media." Fractional Calculus and Applied Analysis 22, no. 6 (2019): 1517–36. http://dx.doi.org/10.1515/fca-2019-0079.

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Abstract This paper presents a time-space Hausdorff derivative model for depicting solute transport in aquifers or water flow in heterogeneous porous media. In this model, the time and space Hausdorff derivatives are defined on non-Euclidean fractal metrics with power law scaling transform which, respectively, connect the temporal and spatial complexity during transport. The Hausdorff derivative model can be transformed to an advection-dispersion equation with time- and space-dependent dispersion and convection coefficients. This model is a fractal partial differential equation (PDE) defined o
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Hu, Kai, Jiasheng Wu, Yaogen Li, Meixia Lu, Liguo Weng, and Min Xia. "FedGCN: Federated Learning-Based Graph Convolutional Networks for Non-Euclidean Spatial Data." Mathematics 10, no. 6 (2022): 1000. http://dx.doi.org/10.3390/math10061000.

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Federated Learning (FL) can combine multiple clients for training and keep client data local, which is a good way to protect data privacy. There are many excellent FL algorithms. However, most of these can only process data with regular structures, such as images and videos. They cannot process non-Euclidean spatial data, that is, irregular data. To address this problem, we propose a Federated Learning-Based Graph Convolutional Network (FedGCN). First, we propose a Graph Convolutional Network (GCN) as a local model of FL. Based on the classical graph convolutional neural network, TopK pooling
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Losev, A. "Statistical evaluation of the periodicity parameter the model of zonal disintegration rocks." Bulletin of Science and Practice 7 (July 13, 2017): 78–82. https://doi.org/10.5281/zenodo.826485.

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In work the problem of zonal disintegration of rocks around deep underground developments is considered. The small review of scientific works in the field is provided, the main results and the conclusions about their convergence with natural data and laboratory experiments are reflected, the used methods and approaches are described. In the work the parameter of frequency of function of deficiency which is the solution of a task on distribution of the field of tension around development of round section, in the conditions of an incompressibility and hydrostatic character of a loading on infini
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Larsen, Jens Christian. "Bistability theorem in a cancer model." International Journal of Biomathematics 11, no. 01 (2018): 1850004. http://dx.doi.org/10.1142/s1793524518500043.

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In this paper, I continue the study of the mathematical models presented in [J. C. Larsen, Models of cancer growth, J. Appl. Math. Comput. 53(1–2) (2015) 613–645] and [J. C. Larsen, The bistability theorem in a model of metastatic cancer, to appear in Appl. Math.]. I shall prove the bistability theorem for the ODE model from [Larsen, 2015]. It is a mass action kinetic system in the variables [Formula: see text] cancer, GF growth factor and GI growth inhibitor. This theorem says that for some values of the parameters, there exist two positive singular points [Formula: see text], [Formula: see t
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Šatkauskas, Gintautas. "CONCEPT OF ECONOMICAL‐MATHEMATICAL MODEL OF LAND MARKET." Technological and Economic Development of Economy 13, no. 4 (2007): 333–40. http://dx.doi.org/10.3846/13928619.2007.9637819.

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Input parameters, ie factors defining the market price of agricultural‐purpose land, are interrelated very often by means of non‐linear ties. Strength of these ties is rather different and this limits usefulness of information in the research process of land market prices. Influence of input parameter changes to the input parameters in case when there are rather substantial changes may be determined in someone direction with a sufficient precision, whereas in other directions with comparatively small changes of input parameters this influence is difficult to be separated from the “noise” backg
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Dyda, Alexander Aleksandrovich, and Kseniya Chumakova. "IDENTIFICATION OF PARAMETERS OF MATHEMATICAL NON-LINEAR MODEL OF VESSEL LONGITUDINAL MOTION." Vestnik of Astrakhan State Technical University. Series: Management, computer science and informatics 2021, no. 2 (2021): 99–108. http://dx.doi.org/10.24143/2072-9502-2021-2-99-108.

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The article considers the important task of modern control theory to construct an adequate mathematical model of a specific dynamic object or vessel movement, that is, its identifica-tion (structural or parametric). It is proposed to construct a nonlinear model of the longitudinal motion of the ship. Practical data were obtained experimentally, a brief description of the experimental platform for an unmanned boat and equipment used in the study of the object dynamic characteristics is given. It is noted that the boat is characterized by three modes of movement: displacement, transitional and p
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Trukhanov, K. A. "FORMATION МODEL OF A CRACK IN A ROCK WITH NON-STATIONARY SHAPE PARAMETERS DURING HYDRAULIC FRACTURING". Spravochnik. Inzhenernyi zhurnal, № 309 (грудень 2022): 48–54. http://dx.doi.org/10.14489/hb.2022.12.pp.048-054.

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Currently, hydraulic fracturing (HF) is used for hard-to-recover hydrocarbon reserves. As a result of hydraulic fracturing, cracks are formed in productive formations. To select the technological parameters of hydraulic fracturing, it is necessary to be able to calculate the fracture shape parameters – length and width. In this regard, the creation of a mathematical model for calculating the parameters of the shape of a crack in a rock is an urgent task. The article presents a mathematical model for the development of a crack in a rock, taking into account the non-stationary parameters of its
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Lobaty, A. A., and V. Y. Stepanov. "PARAMETRIC IDENTIFICATION OF STOCHASTIC SYSTEM BY NON-GRADIENT RANDOM SEARCHING." Science & Technique 16, no. 3 (2017): 256–61. http://dx.doi.org/10.21122/2227-1031-2017-16-3-256-261.

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At this moment we know a great variety of identification objects, tasks and methods and its significance is constantly increasing in various fields of science and technology. The identification problem is dependent on a priori information about identification object, besides that the existing approaches and methods of identification are determined by the form of mathematical models (deterministic, stochastic, frequency, temporal, spectral etc.). The paper considers a problem for determination of system parameters (identification object) which is assigned by the stochastic mathematical model in
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Dissertations / Theses on the topic "Non-Euclidean mathematical model parameters"

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Muhammad, Ruqiah. "A new dynamic model for non-viral multi-treatment gene delivery systems for bone regeneration: parameter extraction, estimation, and sensitivity." Diss., University of Iowa, 2019. https://ir.uiowa.edu/etd/6996.

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In this thesis we develop new mathematical models, using dynamical systems, to represent localized gene delivery of bone morphogenetic protein 2 into bone marrow-derived mesenchymal stem cells and rat calvarial defects. We examine two approaches, using pDNA or cmRNA treatments, respectively, towards the production of calcium deposition and bone regeneration in in vitro and in vivo experiments. We first review the relevant scientific literature and survey existing mathematical representations for similar treatment approaches. We then motivate and develop our new models and determine model param
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Karimli, Nigar. "Parameter Estimation and Optimal Design Techniques to Analyze a Mathematical Model in Wound Healing." TopSCHOLAR®, 2019. https://digitalcommons.wku.edu/theses/3114.

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For this project, we use a modified version of a previously developed mathematical model, which describes the relationships among matrix metalloproteinases (MMPs), their tissue inhibitors (TIMPs), and extracellular matrix (ECM). Our ultimate goal is to quantify and understand differences in parameter estimates between patients in order to predict future responses and individualize treatment for each patient. By analyzing parameter confidence intervals and confidence and prediction intervals for the state variables, we develop a parameter space reduction algorithm that results in better future
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Hay, John Leslie. "Statistical modelling for non-Gaussian time series data with explanatory variables." Thesis, Queensland University of Technology, 1999.

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Pedchote, C. "Parameter estimation for non-linear systems: an application to vehicle dynamics." Thesis, Engineering Systems Department, 2009. http://hdl.handle.net/1826/3896.

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This work presents an investigation into the parameter estimation of suspension components and the vertical motions of wheeled vehicles from experimental data. The estimation problems considered were for suspension dampers, a single wheel station and a full vehicle. Using conventional methods (gradient-based (GB), Downhill Simplex (DS)) and stochastic methods (Genetic Algorithm (GA) and Differential Evolution (DE)), three major problems were encountered. These were concerned with the ability and consistency of finding the global optimum solution, time consumption in the estimation process, and
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Pedchote, Chamnarn. "Parameter estimation for non-linear systems : an application to vehicle dynamics." Thesis, Cranfield University, 2003. http://dspace.lib.cranfield.ac.uk/handle/1826/3896.

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This work presents an investigation into the parameter estimation of suspension components and the vertical motions of wheeled vehicles from experimental data. The estimation problems considered were for suspension dampers, a single wheel station and a full vehicle. Using conventional methods (gradient-based (GB), Downhill Simplex (DS)) and stochastic methods (Genetic Algorithm (GA) and Differential Evolution (DE)), three major problems were encountered. These were concerned with the ability and consistency of finding the global optimum solution, time consumption in the estimation process, and
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Fanelli, Francesco. "Mathematical analysis of models of non-homogeneous fluids and of hyperbolic equations with low regularity coefficients." Doctoral thesis, SISSA, 2012. http://hdl.handle.net/20.500.11767/4420.

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The present thesis is devoted to the study both of strictly hyperbolic operators with low regularity coefficients and of the density-dependent incompressible Euler system. On the one hand, we show a priori estimates for a second order strictly hyperbolic operator whose highest order coefficients satisfy a log-Zygmund continuity condition in time and a log-Lipschitz continuity condition with respect to space. Such an estimate involves a time increasing loss of derivatives...
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Нешта, Анна Олександрівна. "Технологія оброблення внутрішніх різей методом безцентроїдного огинання". Thesis, КПІ ім. Ігоря Сікорського, 2019. https://ela.kpi.ua/handle/123456789/26536.

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Робота виконана на кафедрі технології машинобудування, верстатів та інструментів Сумського державного університету Міністерства освіти і науки України.<br>Дисертація на здобуття наукового ступеня кандидата технічних наук за спеціа-льністю 05.02.08 − технологія машинобудування. − Національний технічний універ-ситет України «Київський політехнічний інститут імені Ігоря Сікорського», МОН України, Київ, 2019. Дисертацію присвячено розробленню технології оброблення внутрішніх різей методом безцентроїдного огинання на фрезерних верстатах з ЧПК із застосуванням непрофільного інструмента. На основі
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Zhu, Shousheng. "Modeling, identifiability analysis and parameter estimation of a spatial-transmission model of chikungunya in a spatially continuous domain." Thesis, Compiègne, 2017. http://www.theses.fr/2017COMP2341/document.

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Dans différents domaines de recherche, la modélisation est devenue un outil efficace pour étudier et prédire l’évolution possible d’un système, en particulier en épidémiologie. En raison de la mondialisation et de la mutation génétique de certaines maladies ou vecteurs de transmission, plusieurs épidémies sont apparues dans des régions non encore concernées ces dernières années. Dans cette thèse, un modèle décrivant la transmission de l’épidémie de chikungunya à la population humaine est étudié. Ce modèle prend en compte la mobilité spatiale des humains, ce qui est nouveau. En effet, c’est un
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Merhi, Bleik Josephine. "Modeling, estimation and simulation into two statistical models : quantile regression and blind deconvolution." Thesis, Compiègne, 2019. http://www.theses.fr/2019COMP2506.

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Cette thèse est consacrée à l’estimation de deux modèles statistiques : le modèle des quantiles de régression simultanés et le modèle de déconvolution aveugle. Elle se compose donc de deux parties. Dans la première partie, nous nous intéressons à l’estimation simultanée de plusieurs quantiles de régression par l’approche Bayésienne. En supposant que le terme d’erreur suit la distribution de Laplace asymétrique et en utilisant la relation entre deux quantiles distincts de cette distribution, nous proposons une méthode simple entièrement Bayésienne qui satisfait la propriété non croisée des quan
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Vestin, Albin, and Gustav Strandberg. "Evaluation of Target Tracking Using Multiple Sensors and Non-Causal Algorithms." Thesis, Linköpings universitet, Reglerteknik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-160020.

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Today, the main research field for the automotive industry is to find solutions for active safety. In order to perceive the surrounding environment, tracking nearby traffic objects plays an important role. Validation of the tracking performance is often done in staged traffic scenarios, where additional sensors, mounted on the vehicles, are used to obtain their true positions and velocities. The difficulty of evaluating the tracking performance complicates its development. An alternative approach studied in this thesis, is to record sequences and use non-causal algorithms, such as smoothing, i
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Books on the topic "Non-Euclidean mathematical model parameters"

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Lindstadt, Gregory L. Comparison of linear and non-linear hydrologic flood routing models on four California rivers and relationship of model parameters to channel physical characteristics. Hydraulic Engineering Laboratory and Water Resources Center Archives, University of California, 1986.

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R, Coriell S., Sekerka R. F, and National Institute of Standards and Technology (U.S.), eds. Shape parameter for a non-axisymmetric isothermal dendrite. U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1999.

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R, Coriell S., Sekerka R. F, and National Institute of Standards and Technology (U.S.), eds. Shape parameter for a non-axisymmetric isothermal dendrite. U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1999.

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R, Coriell S., Sekerka R. F, and National Institute of Standards and Technology (U.S.), eds. Shape parameter for a non-axisymmetric isothermal dendrite. U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1999.

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Ninul, Anatolij Sergeevič. Tenzornaja trigonometrija: Teorija i prilozenija / Theory and Applications /. Mir Publisher, 2004.

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Ninul, Anatolij Sergeevič. Tensor Trigonometry. Fizmatlit Publisher, 2021.

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Cheng, Russell. Non-Standard Problems: Some Examples. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198505044.003.0002.

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This chapter provides motivation for the rest of the book by giving a selection of simple examples showing how non-standard behaviour can occur. The well-known maximum likelihood estimator is used throughout this book to estimate an unknown vector of parameters. Its behaviour is standard if the log-likelihood is a concave quadratic function with the maximum in the neighbourhood of the true parameter value, but is otherwise non-standard. Examples of non-standard situations given in this chapter include the true parameter value not being an internal point of the parameter space, but being on a f
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Cheng, Russell. Non-Standard Parametric Statistical Inference. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198505044.001.0001.

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This book discusses the fitting of parametric statistical models to data samples. Emphasis is placed on (i) how to recognize situations where the problem is non-standard, when parameter estimates behave unusually, and (ii) the use of parametric bootstrap resampling methods in analysing such problems. Simple and practical model building is an underlying theme. A frequentist viewpoint based on likelihood is adopted, for which there is a well-established and very practical theory. The standard situation is where certain widely applicable regularity conditions hold. However, there are many apparen
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Walsh, Bruce, and Michael Lynch. Evolution and Selection of Quantitative Traits. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198830870.001.0001.

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Quantitative traits—be they morphological or physiological characters, aspects of behavior, or genome-level features such as the amount of RNA or protein expression for a specific gene—usually show considerable variation within and among populations. Quantitative genetics, also referred to as the genetics of complex traits, is the study of such characters and is based on mathematical models of evolution in which many genes influence the trait and in which non-genetic factors may also be important. Evolution and Selection of Quantitative Traits presents a holistic treatment of the subject, show
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Cheng, Russell. Finite Mixture Examples; MAPIS Details. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198505044.003.0018.

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Two detailed numerical examples are given in this chapter illustrating and comparing mainly the reversible jump Markov chain Monte Carlo (RJMCMC) and the maximum a posteriori/importance sampling (MAPIS) methods. The numerical examples are the well-known galaxy data set with sample size 82, and the Hidalgo stamp issues thickness data with sample size 485. A comparison is made of the estimates obtained by the RJMCMC and MAPIS methods for (i) the posterior k-distribution of the number of components, k, (ii) the predictive finite mixture distribution itself, and (iii) the posterior distributions o
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Book chapters on the topic "Non-Euclidean mathematical model parameters"

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Luke, Rayanne A., Gess Kelly, Melissa Stoner, Jordana Esplin O’Brien, Sharon R. Lubkin, and Laura Ellwein Fix. "Towards a Mathematical Understanding of Ventilator-Induced Lung Injury in Preterm Rat Pups." In Mathematical Modeling for Women’s Health. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-58516-6_6.

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AbstractApproximately 1% of infants are born extremely preterm and underweight and are prone to respiratory distress and subsequent morbidity. Typical treatments for respiratory distress in late preterm and term infants, such as non-invasive pressure support, are less effective in preterm infants. Invasive mechanical ventilation applied as a last resort causes trauma, leading to ventilator-induced lung injury (VILI). Maternal infection, such as chorioamnionitis, can cause prenatal and neonatal lung infection, inflammation, and often very preterm birth. Inflammation is expected to stiffen the l
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Yamamoto, Kei, Sophie Fischer-Holzhausen, Maria P. Fjeldstad, and Mary M. Maleckar. "Ordinary Differential Equation-based Modeling of Cells in Human Cartilage." In Computational Physiology. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05164-7_3.

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AbstractChondrocytes produce the extracellular cartilage matrix required for smooth joint mobility. As cartilage is not vascularised, and chondrocytes are not innervated by the nervous system, chondrocytes are therefore generally considered non-excitable. However, chondrocytes do express a range of ion channels, ion pumps, and receptors involved in cell homeostasis and cartilage maintenance. Dysfunction in these ion channels and pumps has been linked to degenerative disorders such as arthritis. Because the electrophysiological properties of chondrocytes are difficult to measure experimentally,
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Platz, Roland. "Approach to Assess Basic Deterministic Data and Model Form Uncertaint in Passive and Active Vibration Isolation." In Lecture Notes in Mechanical Engineering. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77256-7_17.

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AbstractThis contribution continues ongoing own research on uncertainty quantification in structural vibration isolation in early design stage by various deterministic and non-deterministic approaches. It takes into account one simple structural dynamic system example throughout the investigation: a one mass oscillator subject to passive and active vibration isolation. In this context, passive means that the vibration isolation only depends on preset inertia, damping, and stiffness properties. Active means that additional controlled forces enhance vibration isolation. The simple system allows
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Dmytruk, Veronika, Bogdana Gayvas, Bogdan Markovych, and Anatolii Dmytruk. "On the issues of optimization and regulation of the convective drying process of materials in drying units." In DRYING PROCESSES: APPROACHES TO IMPROVE EFFICIENCY. TECHNOLOGY CENTER PC, 2025. https://doi.org/10.15587/978-617-8360-09-2.ch5.

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The chapter presents the main approaches to optimizing and regulating the drying process of materials, taking into account the structural characteristics and operating principles of drying equipment. An essential factor in optimizing such processes is the consideration of the drying object and the mathematical methods used to describe drying problems. To this end, widely applied practical methods of mathematical modeling of capillary-porous and dispersed materials are analyzed, along with the specific features of models that describe heat and mass transfer in such materials. Particular attenti
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Boskoff, Wladimir-Georges, and Salvatore Capozziello. "From Projective Geometry to Poincaré Disk. How to Carry Out a Non-Euclidean Geometry Model." In A Mathematical Journey to Relativity. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-54823-9_3.

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Manteiga, W. González, and J. M. Vilar Fernández. "A Class of Non-Parametrically Constructed Parameter Estimators for a Stationary Autoregressive Model." In Mathematical Statistics and Probability Theory. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3965-3_9.

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Vasquez, Julian Rozo, Lukas Kersting, Bahman Arian, Werner Homberg, Ansgar Trächtler, and Frank Walther. "Soft Sensor Model of Phase Transformation During Flow Forming of Metastable Austenitic Steel AISI 304L." In Lecture Notes in Mechanical Engineering. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-58006-2_10.

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AbstractThis paper deals with the modeling of a soft sensor for detecting α’-martensite evolution from the micromagnetic signals that are measured during the reverse flow forming of metastable AISI 304L austenitic steel. This model can be prospectively used inside a closed-loop property-controlled flow forming process. To achieve this, optimization by means of a non-linear regression of experimental data was carried out. To collect the experimental data, specimens were produced by flow forming seamless tubes at room temperature. Using a combination of production parameters (like the infeed dep
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Fabbricatore, Rosa, and Francesco Palumbo. "Clustering students according to their proficiency: a comparison between different approaches based on item response theory models." In Proceedings e report. Firenze University Press, 2021. http://dx.doi.org/10.36253/978-88-5518-461-8.09.

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Evaluating learners' competencies is a crucial concern in education, and home and classroom structured tests represent an effective assessment tool. Structured tests consist of sets of items that can refer to several abilities or more than one topic. Several statistical approaches allow evaluating students considering the items in a multidimensional way, accounting for their structure. According to the evaluation's ending aim, the assessment process assigns a final grade to each student or clusters students in homogeneous groups according to their level of mastery and ability. The latter repre
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Braak, Daniel. "What Kind of Insight Provide Analytical Solutions of Quantum Models?" In International Symposium on Mathematics, Quantum Theory, and Cryptography. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5191-8_2.

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Abstract There are several concepts of what constitutes the analytical solution of a quantum model, as opposed to the mere “numerically exact” one. This applies even if one considers only the determination of the discrete spectrum of the corresponding Hamiltonian, setting aside such important questions as the asymptotic dynamics for long times. In the simplest case, the spectrum can be given in closed form, the eigenvalues $$E_{j}, j=0,\ldots ,N\le \infty $$ read $$E_{j} =f(j,\{p_{k}\})$$, where f is a known function of the label $$j\in \mathbb {N}_{0}$$ and the $$\{p_k\}$$ are a set of number
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Vignesh, S., G. Muthukumaran, P. Dinesh Babu, K. P. Arulshri, R. Sivabalakrishnan, and G. Surya. "Development of Mathematical Models and Evaluation of the Optimal Process Parameters for Laser Surface Hardening of Low Alloy Steel Using Elitist Non-dominated Sorting Genetic Algorithm." In Lecture Notes in Mechanical Engineering. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1724-8_53.

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Conference papers on the topic "Non-Euclidean mathematical model parameters"

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Trnka, Jan, and Franti�ek �tep�nek. "Modeling the Impact of Non-Ideal Mixing on Continuous Crystallization: A Non-Dimensional Approach." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.194630.

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Mathematical modeling is essential for the effective control of many chemical engineering processes, including crystallization. However, most existing crystallization models used in industry and academia assume ideal mixing. As a result, the unclear effects of imperfect mixing on crystallization, reported in experimental studies, remain largely unexplained. In this work we aim to address this gap in understanding by examining antisolvent crystallization processes on a�general theoretical level, using a novel dimensionless model. To address the impact of mixing on crystallization, we employ the
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Garber, James D., Venugopal Polaki, Cedric Adams, and Narayana Rao Varanasi. "Modeling Corrosion Rates in Non-Annular Gas Condensate Wells Containing CO2." In CORROSION 1998. NACE International, 1998. https://doi.org/10.5006/c1998-98053.

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Abstract New gas condensate wells are typically producing in annular flow. As the water production increases, the flow dynamics of these wells change to a non-annular flow regime. The flow regime could become chum or slug. A mathematical model has been developed to physically describe this condition. Corrosion rates have been measured in the laboratory and the corrosion rate in slug flow was consistently higher than in chum flow regardless of the experimental conditions selected. A number of non-annular flow wells from the field have been physically described using the new non-annular flow mod
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Cavalca, Katia Lucchesi, Sérgio Junichi Idehara, Franco Giuseppe Dedini, and Robson Pederiva. "Experimental Non-Linear Model Updating Applied in Cylindrical Journal Bearings." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21549.

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Abstract The present paper proposes the use of non linear model updating applying unrestricted optimization method, in order to obtain a methodology, which allows the calibration of mathematical models in rotating systems. An experimental set up for this purpose consists of a symmetric rotor, on a rigid foundation supported by two hidrodynamic cylindrical bearings and with a central disk of considerable mass, working as na unbalancing excitation force. Once the numeric and experimental values are obtained, error vectors are defined, which are the minimization parameters, through the variation
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Sa´nchez A., Heller G., and Jesu´s M. Pintor B. "Studying Dynamic Behaviour of Flexible Rotors With an Analytic Model That Includes Non-Linear Supports, Non-Stiff Support Structure and Torsion Flexibility." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-44021.

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This article presents a mathematical formulation based on FEM for the dynamic analysis of flexible rotors that are not grounded necessary to a rigid structure. Furthermore, it uses the component synthesis in order to introduce the behavior of the structure where the rotor is grounded. The developed mathematical model calculates the model parameters stationary response.
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Feng, Dake, and Jahangir Rastegar. "Model Parameter Identification for Non-Fully Controlled Nonlinear Dynamics Systems Using Trajectory Pattern Method." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-13605.

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In this paper, a new method is presented for model parameter identification of a large class of nonlinear dynamics systems that are not fully controlled. The method uses trajectory patterns with feed-forward controls to identify model parameters of the system. The developed method ensures full system stability, does not require close initial estimated values for the parameters to be identified, and provides a systematic method of emphasizing on the estimation of the parameters associated with lower order terms of the system dynamics model and gradually upgrading the accuracy with which the mod
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Derepasko, I., and Petr Popikov. "Calculation of mathematical model of non-choking logging process with energy-saving hydraulic drive in MATCHCAD." In SCIENCE TRANSFORMS REALITY – 2024. FSBE Institution of Higher Education Voronezh State University of Forestry and Technologies named after G.F. Morozov, 2024. http://dx.doi.org/10.58168/reality2024_7-12.

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During the movement of a tractor in conjunction with a non-choking grip on rough terrain in clearings, vibrations occur, causing surges of working fluid in the hydraulic system and high dynamic loads, which reduce the reliability of technological equipment and the assembly. One way to reduce dynamic loads and energy consumption is to use an energy-saving (recuperative) hydraulic accumulator. The article presents a calculation of a mathematical model taking into account external and internal forces acting on the harvested wood bundle and parameters of the energy-saving hydraulic drive, allowing
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Hamadiche, M. "Aneurysm No-Linear Unsteady Dynamic: Mathematical Modeling." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97266.

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A second order no-linear partial differential equation is worked out to describe the interaction of the flow with an elastic shell in large deformation domain. The model intends to describe the vibration of an aneurysm in arteries and veins. Two models are presented in this work. In the first one, the shell is inserted in otherwise rigid plane channel and in the second model the shell is inserted in otherwise rigid tube. In order to allow large displacement, the shell motion is described by Lagrangian variables. The steady version of the governing equation is a second order no-linear different
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Aliyev, Goshgar, Chingiz Ibrahimov, and Eldar Mammadov. "Identification of parameters of mathematical model non-isothermal processes of adsorption surface-active substances in a porous medium oil-bearing rock." In 2012 IV International Conference "Problems of Cybernetics and Informatics" (PCI). IEEE, 2012. http://dx.doi.org/10.1109/icpci.2012.6486375.

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Speckert, Michael, Thorsten Dahlheimer, and Jochen Fiedler. "Fitting Laplace Process Parameters for Non-equidistant Road Roughness Data." In WCX SAE World Congress Experience. SAE International, 2024. http://dx.doi.org/10.4271/2024-01-2298.

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&lt;div class="section abstract"&gt;&lt;div class="htmlview paragraph"&gt;Road roughness is the most important source of vertical loads for road vehicles. To capture this during durability engineering, various mathematical models for describing road profiles have been developed. The Laplace process has turned out to be a suitable model, which can describe road profiles in a more flexible way than e.g., Gaussian processes. The Laplace model essentially contains two parameters called &lt;i&gt;C&lt;/i&gt; and &lt;i&gt;ν&lt;/i&gt; (to be explained below), which need to be adapted to represent a ro
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Randolph, Mark, and Peter Quiggin. "Non-Linear Hysteretic Seabed Model for Catenary Pipeline Contact." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79259.

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This paper presents a new mathematical model of the reaction force normal to the seabed, experienced by a pipeline or catenary riser in contact with the seabed. Such contact is currently often modeled using simple seabed contact models, and it is hoped that improved modeling of the seabed interaction will give more accurate predictions of system behavior, in particular for fatigue analysis. The model uses as its primary data the pipe diameter, the seabed soil shear strength profile with depth and the soil density. Additional parameters, in particular the maximum normalized stiffness of the pip
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Reports on the topic "Non-Euclidean mathematical model parameters"

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Bajwa, Abdullah, and Timothy Jacobs. PR-457-17201-R02 Residual Gas Fraction Estimation Based on Measured Engine Parameters. Pipeline Research Council International, Inc. (PRCI), 2019. http://dx.doi.org/10.55274/r0011558.

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Gas exchange processes in two-stroke internal combustion engines, commonly referred to as scavenging, are responsible for removing the exhaust gases in the combustion chamber and preparing the combustible fuel-oxidizer mixture that undergoes combustion and converts the chemical energy of the fuel into mechanical work. Scavenging is a complicated phenomenon because of the simultaneous introduction of fresh gases into the engine cylinder through the intake ports, and the expulsion of combustion products from the previous cycles through the exhaust ports. A non-negligible fraction of the gaseous
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Ferdaus, Md Meftahul, Mahdi Abdelguerfi, Elias Ioup, et al. KANICE : Kolmogorov-Arnold networks with interactive convolutional elements. Engineer Research and Development Center (U.S.), 2025. https://doi.org/10.21079/11681/49791.

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We introduce KANICE, a novel neural architecture that combines Convolutional Neural Networks (CNNs) with Kolmogorov-Arnold Network (KAN) principles. KANICE integrates Interactive Convolutional Blocks (ICBs) and KAN linear layers into a CNN framework. This leverages KANs’ universal approximation capabilities and ICBs’ adaptive feature learning. KANICE captures complex, non-linear data relationships while enabling dynamic, context-dependent feature extraction based on the Kolmogorov-Arnold representation theorem. We evaluated KANICE on four datasets: MNIST, Fashion-MNIST, EMNIST, and SVHN, compa
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