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Search results for: EQUATIONS WITH ADVANCED ARGUMENTS
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Quadratic convergence of monotone iterations to systems of differential-algebraic equations
PublicationZastosowano tu metodę dolnych i górnych rozwiązań do skonstruowania monotonicznych ciągów, które są zbieżne kwadratowo do jedynego rozwiązania układu równań różniczkowo-algebraicznych z warunkiem początkowym.
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Extensions of Quasilinearization Method for Differential Equations with Integral Boundary Conditions
PublicationPraca dotyczy równań różniczkowych z warunkami brzegowymi typu całkowego. Podano warunki dostateczne na istnienie jedynego rozwiązania takiego zagadnienia i pokazano, że odpowiednio konstruowane ciągi monotoniczne są zbieżne do tego rozwiązania i jest to zbieżność kwadratowa. Te monotoniczne ciągi są przybliżonymi rozwiązaniami problemu wyjściowego i obustronnie szacują szukane rozwiązanie.
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Initial problems for neutral functional differential equations with unbounded delay.
PublicationSformułowano układ aksjomatów dla przestrzeni fazowej . Wykazano istnienie jednoznaczności rozwiązań zagadnienia Cauchy´ego. Dowód wykorzystuje metody porównawcze z nieliniowymi oszacowaniami dla danej funkcji.
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Experiences with viscoplastic constitutive equations in finite element shell analysis
PublicationW pracy przedstawiono problemy zastosowania lekoplastycznych równań konstytutywnych w anlizie powłok metodą elementów skończonych. Pokazano historie rozwoju tego rodzaju modeli. Rozważono podstawowe założenia jakie muszą być zrobione.Omówiono doświadczenia konieczne do identyfikacji parametrów materiałowych modeli. Przedstawiono problemy jakie mogą wynikną w analizie numerycznej (problemy dokładności i stabilności algorytmów) Pracę...
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On the Chaplyghin method for generalized solutions of partial differential functional equations
PublicationW pracy tej rozważa się zagadnienia początkowo-brzegowe dla semiliniowych równań różniczkowo-funkcyjnych cząstkowych pierwszego rzędu. Przy naturalnych założeniach o funkcjach danych, istnieje ciąg Czapłygina i jest on zbieżny do rozwiązania w sensie Caratheodory'ego wyjściowego zagadnienia. Podane jest oszacowanie błędu rozwiązania przybliżonego. Wykazuje się, iż metoda Czapłygina dla powyższego zagadnienia jest równoważna metodzie...
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General quasilinearization method for systems of differential equations with a singular matrix
PublicationStosując metodę kwazilinearyzacji badano problem rozwiązań przybliżonych dla układów równań różniczkowych z macierzą osobliwą. Pokazano zbieżność kwadratową odpowiednich ciągów monotonicznych.
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On refined constitutive equations in the six-field theory of elastic shells
PublicationWithin the resultant six-field shell theory, the second approximation to the complementary energy density of an isotropic elastic shell undergoing small strains is constructed. In this case, the resultant drilling couples are expressed explicitly by the stress resultants and stress couples as well as by amplitudes of the quadratic and cubic distributions of an intrinsic deviation vector. The refined 2D strain-stress and stress-strain...
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Existence of solutions for a coupled system of difference equations with cousal operators
PublicationPraca dotyczy układów równań różnicowych. Podano warunki dostateczne na istnienie rozwiązań takich problemów. Badano również nierówności różnicowe.
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On the Equations of the Surface Elasticity Model Based on the Theory of Polymeric Brushes
PublicationMotivating by theory of polymers, in particular, by the models of polymeric brushes we present here the homogenized (continual) two-dimensional (2D) model of surface elasticity. A polymeric brush consists of an system of almost aligned rigid polymeric chains. The interaction between chain links are described through Stockmayer potential, which take into account also dipole-dipole interactions. The presented 2D model can be treated...
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Shallow Water Equations as a Mathematical Model of Whitewater Course Hydrodynamics
PublicationPredicting the positions of local hydraulic phenomena, as well as accurately esti-mating the depth and velocity of the water flow are necessary to correctly config-ure a whitewater canoeing course. Currently, a laboratory and full 3D CFD model-ing are typically used in the design process to meet these needs. The article points to another possibility which can be useful at the preliminary stage of the design. The authors show that...
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Integration of advanced oxidation and membrane filtration for removal of micropollutants of emerging concern
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Special Issue on “Advanced Liquid Waste and Gas Waste Treatment Processes”
PublicationThe editorial contains a short review of the content of the Special Issue on waste gas and liquid streams treatment strategies.
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Multimodal human-computer interfaces based on advanced video and audio analysis
PublicationMultimodal interfaces development history is reviewed briefly in the introduction. Examples of applications of multimodal interfaces to education software and for the disabled people are presented, including interactive electronic whiteboard based on video image analysis, application for controlling computers with mouth gestures and the audio interface for speech stretching for hearing impaired and stuttering people. The Smart...
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Multimodal human-computer interfaces based on advanced video and audio analysis
PublicationMultimodal interfaces development history is reviewed briefly in the introduction. Some applications of multimodal interfaces to education software for disabled people are presented. One of them, the LipMouse is a novel, vision-based human-computer interface that tracks user’s lip movements and detect lips gestures. A new approach to diagnosing Parkinson’s disease is also shown. The progression of the disease can be measured employing...
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Designing drainage systems – possible application of advanced calculations and hydrodynamical modeling
PublicationNowadays we can observe a faster development of drainage systems than ever. This gives us an opportunity to de- sign more efficient systems that can cope with the rapid growth of cities and, what comes with it, impervious surfaces. Here the question arises, whether traditional methods used in drainage system design are potent enough to cope with the emerging prob- lems and difficulties. In this paper we will make...
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Application of advanced CFD simulations in seakeeping analysis of ships (case study)
PublicationThe novel design process of many types of ships needs estimation of seakeeping properties. Especially ships like Offshore Supply Vessels, Wind Farm Support Vessels, Research Vessels, ferries, military vessels, rescue vessels require extended analysis of ship behavior on rough sea. The main reason for improving ships operability in different sea conditions is need of rising efficiency of propulsion system, reducing hull added resistance,...
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Advanced Lithium-Ion Battery Model for Power System Performance Analysis
PublicationThe paper describes a novel approach in battery storage system modelling. Different types of lithium-ion batteries exhibit differences in performance due to the battery anode and cathode materials being the determining factors in the storage system performance. Because of this, the influence of model parameters on the model accuracy can be different for different battery types. These models are used in battery management system...
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THE APPLICATION OF THE MECHANOCHEMICAL SYNTHESIS FOR THE PREPARATION OF ADVANCED CERAMICS BASED ON BARIUM TITANATE
PublicationIn the present study, the lead-free BaTi1-xZrxO3 (for x = 0, 0.05 and 0.15) ceramics were prepared by High-Energy Ball Milling and heat treatments. The performed X-ray, SEM and EDS measurements confirmed high purity, good quality and the expected quantitative composition of the obtained samples. The study of dielectric properties was performed by means of broadband dielectric spectroscopy at the frequency ranging from 0.1 Hz to...
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Advanced local energy planning using the ALEP-PL computer software
PublicationPrzedstawiono autorski system komputerowy ALEP-PL do gromadzenia i agregacji danych o lokalnych obiektach energetycznych. System pozwala na analizy senariuszowe poprzez bilanse zapotrzebowania na paliwa i energie oraz poprzez wskaźnikowe wyznaczanie wilekości emisji CO2. Dodatkowo, dzięki wybudowanemu w system ALEP-PL zestawowi technologii modernizacyjnych, aplikacja umożliwia opracowywanie strategii redukcji emisji CO2, poprawy...
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Desulfurization of raw naphtha cuts using hybrid systems based on acoustic cavitation and advanced oxidation processes (AOPs)
PublicationA combination of dual-frequency acoustic cavitation (acoustic cavitation) and UV assisted advanced oxidation processes (AOPs) reaction system was developed for desulfurization of raw naphtha used to produce aviation fuels. Various types of oxidants in hybrid systems including hydrogen peroxide, acetic acid, acetone, air and ozone were compared. At optimum oxidant to sulfur compounds molar ratio (rox) of 5.0, the hybrid process...
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Quantum and carbon dots conjugated molecularly imprinted polymers as advanced nanomaterials for selective recognition of analytes in environmental, food and biomedical applications
PublicationSamples with complex matrix analyzed during explanation of pathogenesis of various diseases and food or environmental monitoring request advanced analytical and instrumental devices. Among the materials used for described purposes, quantum (QDs) or carbon dots (CDs) layered by molecularly imprinted polymer (MIP) shells have gained widespread attention. Unique optical and physicochemical properties of QDs/CDs together with high...
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Hydrodynamic cavitation based advanced oxidation processes: Studies on specific effects of inorganic acids on the degradation effectiveness of organic pollutants
PublicationThe use of cavitation in advanced oxidation processes (AOPs) to treat acidic effluents and process water has become a promising trend in the area of environmental protection. The pH value of effluents – often acidified using an inorganic acid, is one of the key parameters of optimization process. However, in the majority of cases the effect of kind of inorganic acid on the effectiveness of degradation is not studied. The present...
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Advanced oxidation processes (AOPs) based wastewater treatment - unexpected nitration side reactions - a serious environmental issue: A review
PublicationChemical compounds containing nitro group (nitro-products) are a one of toxic by-products, that can be formed during wastewater treatment processes. In case of presence of nitrite or nitrate ions, the formation of nitro-products during advanced oxidation processes (AOPs) is very common. It is caused by the reactive nitrogen species (RNs) such as nitrate radical (NO3•), nitrite radical (NO2•), nitrogen oxide radical (NO•) and peroxynirite...
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Journal of Dynamics and Differential Equations
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Advances in Differential Equations and Control Processes
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Memoirs on Differential Equations and Mathematical Physics
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NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
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lnternational Journal of Differential Equations and Applications
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Journal of Optimization, Differential Equations and their Applications
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Partial Differential Equations in Applied Mathematics
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Tuning a Hybrid GPU-CPU V-Cycle Multilevel Preconditioner for Solving Large Real and Complex Systems of FEM Equations
PublicationThis letter presents techniques for tuning an accelerated preconditioned conjugate gradient solver with a multilevel preconditioner. The solver is optimized for a fast solution of sparse systems of equations arising in computational electromagnetics in a finite element method using higher-order elements. The goal of the tuning is to increase the throughput while at the same time reducing the memory requirements in order to allow...
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Pharmaceuticals wastewater treatment via different advanced oxidation processes: Reaction mechanism, operational factors, toxicities, and cost evaluation – A review
PublicationPharmaceuticals comprises different drugs used for treating different infections in human being and animals. The huge quantities of pharmaceuticals used are found to discharge into different water resources and cause different health and environmental problems. The continuous and large-scale discharge of pharmaceuticals increases their persistency which can consequently make them more toxic. The different advanced oxidation processes...
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Pilot scale degradation study of 16 selected volatile organic compounds by hydroxyl and sulfate radical based advanced oxidation processes
PublicationThe studies of effective technologies for complete degradation of the volatile organic compounds (VOCs), are very important due to the high biotoxicity of the VOCs which makes the biological technologies ineffective. It also increases the risk of VOCs emission instead of their treatment when using open air biological technologies. In the present study, different types of Advanced Oxidation Processes (AOPs) were investigated for...
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Advanced photonic, electronic, and web engineering systems: WILGA Symposium, January 2013
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Plug-in to Eclipse environment for VHDL source code editor with advanced formatting of text
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Advanced Assessment of the Endogenous Hormone Level as a Potential Biomarker of the Urogenital Tract Cancer
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Analysis of Serum of Patients With Alzheimer’s Disease for the Level of Advanced Glycation End Products
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Advanced coating of interior of tanks for rising environmental safety - novel applications of polyurethanes
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Maximizing Muscle Hypertrophy: A Systematic Review of Advanced Resistance Training Techniques and Methods
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Advanced oxidation processes for recalcitrant compounds removal comparison with biofiltration by Corbicula fluminea
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Advanced OCT techniques for biomedical applications - theoretical ideas versus technical restriction
PublicationW pracy przedstawiono dyskusję nad możliwościami pomiarowymi współczesnych systemów OCT o różnych konfiguracjach ( w tym o konfiguracji Mach-Zehndera i Michelsona) pracujących w dziedzinie czasu lub częstotliwości. Przedstawiono między innymi konfiguracje czułe na stan polaryzacji, na ruch w wykonaniu światłowodowym lub objętościowym.
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An application of advanced data processing methods to response analysis of electrocatalytic gas sensor
PublicationPrzedstawiono stosowane dotychczas oraz zaproponowano nowe metody analizy odpowiedzi czujników elektrokatalitycznych. Porównano ich właściwości.
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Comparison of different advanced oxidation processes for the degradation of room temperature ionic liquids
PublicationZbadano możliwość zastosowania wybranych zaawansowanych technologii utleniania (UV, UV/H2O2, UV/TiO2) do degradacji cieczy jonowych. Do degradacji wytypowano pięć związków: HHiM, BMiM, MiM, OMiM oraz EEiM.
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Advanced Bayesian study on inland navigational risk of remotely controlled autonomous ship
PublicationThe arise of autonomous ships has necessitated the development of new risk assessment techniques and methods. This study proposes a new framework for navigational risk assessment of remotely controlled Maritime Autonomous Surface Ships (MASS). This framework establishes a set of risk influencing factors affecting safety of navigation of a remotely-controlled MASS. Next, model parameters are defined based on the risk factors, and...
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Rubber wastes recycling for developing advanced polymer composites: A warm handshake with sustainability
PublicationRecycling and management of rubber wastes experiences an early-stage maturity in the quest for sustainable and circular materials. Up to now, solutions proposed for sustainable development of rubber wastes are limited, so that properties and performance features of recycled products are inadequate for practical applications. Herein, an experimental protocol is introduced for manufacturing semi-sustainable polymer composites based...
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Advanced Monte Carlo simulator of the polarization-sensitive optical coherence tomography systems
PublicationSimulations of the optical coherence tomography (OCT) systems using the Monte Carlo method is a widely explored research area. However, there are several difficulties that need to be overcome in order to properly model the OCT imaging with the Monte Carlo algorithm. First of all, the temporal and the spatial coherence of the scattered light need to be considered, since OCT is based on the interference phenomenon. For the same reason,...
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Development of Domain-Specific Solutions within the Polish Infrastructure for Advanced Scientific Research
PublicationThe Polish Grid computing infrastructure was established during the PL-Grid project (2009-2012). The main purpose of this Project was to provide the Polish scientists with an IT basic platform, allowing them to conduct interdisciplinary research on a national scale, and giving them transparent access to international grid resources via international grid infrastructures. Currently, the infrastructure is maintained and extended...
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Advanced coating of interior of tanks for rising environmental safety - numerical simulation of grounding
PublicationZwiększanie bezpieczeństwa środowiska naturalnego podczas transportu materiałów ropopochodnych stale stanowi ważny i aktualny problem badawczy. W pracy prezentowane są wyniki badań innowacyjnych powłok ochronnych zmniejszających ryzyko rozlewu olejowego podczas kolizji środków transportu - w szczególności statków. Prace badawcze prowadzone były w ramach programu Eureka E!3614 CORET.
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Boundary value problems for dynamic equations of Volterra type on time scales
PublicationPraca dotyczy równań i nierówności dla problemów dynamicznych typu Volterry. Podano warunki dostateczne na istnienie ekstremalnych rozwiązań w obszarze ograniczonym przez dolne i górne rozwiązania. Praca zawiera również pewne uwagi dla konkretnych zagadnień różniczkowych i dyskretnych.
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First-order functional difference equations with nonlinear boundary value problems
PublicationDyskutowano problem brzegowy dla równań różnicowych z opóźnionym argumentem. Nierówności różnicowe związane z w/w problem też były przedmiotem badań. Stosując metodę iteracji monotonicznych, sformułowano warunki dostateczne na istnienie ekstremalnych rozwiązań problemów brzegowych z opóźnionymi argumentami. Podano dwa przykłady ilustrujące otrzymane wyniki.