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Wyniki wyszukiwania dla: PARABOLIC EQUATION
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On delay differential equations with almost periodic boundary conditions started from different points
PublikacjaDyskutowany jest problem istnienia ekstremalnych rozwiązań dla równań różniczkowych typu opóźnionego przy odpowiednich warunkach brzegowych. Sformułowano odpowiednie twierdzenia porównawcze. W pracy zawarte są również wyniki dotyczące takich równań przy większej ilości argumentów opóźnionych.
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Weighted difference schemes for systems of quasilinear first order partial functional differential equations
PublikacjaThe paper deals with initial boundary value problems of the Dirichlet type for system of quasilinear functional differential equations. We investigate weighted difference methods for these problems. A complete convergence analysis of the considered difference methods is given. Nonlinear estimates of the Perron type with respect to functional variables for given functions are assumed. The proof of the stability of difference problems...
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Initial value problems for neutral fractional differential equations involving a Riemann-Liouville derivative
PublikacjaBadano równania neutralne typu ułamkowego z odchylonym argumentem. Podano warunki dostateczne na istnienie jednego rozwiązania.
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Heat transfer in plate heat exchanger channels: experimental validation of selected correlation equations
PublikacjaThis study is focused on experimental investigation of selected type of brazed plate heat exchanger. The Wilson approach was applied in order to estimate heat transfer coefficients for the PHEx passages. The main aim of the paper was to experimentally check ability of several correlations published in the literature to predict heat transfer coefficients by comparison experimentally obtained data with appropriate predictions. The...
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Multimodal Particle Swarm Optimization with Phase Analysis to Solve Complex Equations of Electromagnetic Analysis
PublikacjaIn this paper, a new meta-heuristic method of finding roots and poles of a complex function of a complex variable is presented. The algorithm combines an efficient space exploration provided by the particle swarm optimization (PSO) and the classification of root and pole occurrences based on the phase analysis of the complex function. The method initially generates two uniformly distributed populations of particles on the complex...
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ADAPTIVE METHOD FOR THE SOLUTION OF 1D AND 2D ADVECTION-DIFFUSION EQUATIONS USED IN ENVIRONMENTAL ENGINEERING
PublikacjaThe paper concerns the numerical solution of one-dimensional (1D) and two-dimensional (2D) advection-diffusion equations. For the numerical solution of the 1D advection-diffusion equation a method, originally proposed for solution of the 1D pure advection equation, has been developed. A modified equation analysis carried out for the proposed method allowed increasing of the resulting solution accuracy and consequently, to reduce...
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Use of a Least Squares with Conditional Equations Method in Positioning a Tramway Track in the Gdansk Agglomeration
PublikacjaSatellite measurement techniques have been used for many years in different types of human activity, including work related to staking out and making use of rail infrastructure. First and foremost, satellite techniques are applied to determine the tramway track course and to analyse the changes of its position during its operation. This paper proposes using the least squares with conditional equations method, known in geodesy (LSce)....
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Oxidation kinetics of Zircaloy-4 alloy at 673 K determined by GDOES technique
PublikacjaOxidation of zirconium alloys is a process that takes place during the operation of nuclear reactors and is essential for assessing the durability of fuel claddings. The present study was aimed to determine the oxidation kinetics of the Zircaloy-4 alloy using GDOES (glow discharge optical emission spectroscopy) at temperature 673 K corresponding to the conditions of use of fuel pellets. The tests were performed on non-oxidized...
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Some new soliton solutions to the higher dimensional Burger–Huxley and Shallow water waves equation with couple of integration architectonic
PublikacjaIn this paper, we retrieve some traveling wave, periodic solutions, bell shaped, rational, kink and anti-kink type and Jacobi elliptic functions of Burger’s equation and Shallow water wave equation with the aid of various integration schemes like improved -expansion scheme and Jacobi elliptic function method respectively. We also present our solutions graphically in various dimensions.
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A Fortran-95 algorithm to solve the three-dimensional Higgs boson equation in the de Sitter space-time
Dane BadawczeA numerically efficient finite-difference technique for the solution of a fractional extension of the Higgs boson equation in the de Sitter space-time is designed. The model under investigation is a multidimensional equation with Riesz fractional derivatives of orders in (0,1)U(1,2], which considers a generalized potential and a time-dependent diffusion...
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Internationability of Polish Science and Higher Education
WydarzeniaObrady w sześciu panelach: Współpraca ponad granicami; Światowa społeczność naukowa w polskich laboratoriach; Od pomysłu do wdrożenia; Teraz Polska; Międzynarodowa promocja nauki; Wymiana dobrych praktyk,praktyka dobrych
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100 years of the technical university education in Gdańsk 1904-2004.
PublikacjaNa tle warunków polityczno-społecznych książka przedstawia szczegółowo narodziny i działalność niemieckiej politechniki w Gdańsku w latach 1904-1945 oraz trudne początki Politechniki Gdańskiej po jej uruchomieniu w roku 1945. Angielskojęzyczna wersja książki pozwala na jej upowszechnienie za granicą, gdzie sprawy te nie są znane lub też są naświetlane dość jednostronnie.
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The Simulation Laboratory Platform Based on Multisim for Electronic Engineering Education
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The Total Efficiency of Teaching Activity of Polish Higher Education Institutions
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Cost efficiency of administrative service in public higher education in Poland
PublikacjaPurpose: The aim of the study is to determine changes in the cost efficiency of the administration of public higher education in Poland. Design/methodology/approach: The biennial cost Malmquist productivity index was used to study changes in cost efficiency of 58 public higher education institutions in 2014-2016. The results were...
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GBTX Emulation for BM@N/MPD Data Acquisition Systems
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Digital competence learning in secondary adult education in Finland and Poland
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100 years of the technical university education in Gdańsk 1904-2004.
PublikacjaNa tle warunków polityczno-społecznych książka przedstawia szczegółowo narodziny i działalność niemieckiej politechniki w Gdańsku w latach 1904-1945 oraz trudne początki Politechniki Gdańskiej po jej uruchomieniu w roku 1945. Angielskojęzyczna wersja książki pozwala na jej upowszechnienie za granicą, gdzie sprawy te nie są znane lub też są naświetlane dość jednostronnie.
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Research and education at Faculty of Mechanical Engineering, Gdańsk University of Technology.
PublikacjaPrzedstawiono aktualną działalność naukowo-badawczą Wydziału Mechanicznego Politechniki Gdańskiej w 60-lecie jego istnienia - realizowaną w 11 Katedrach w ramach działalności statutowej, badań własnych, projektów badawczych KBN i umów z przemysłem. Omówiono proces dydaktyczny na studiach inżynierskich, magisterskich i doktoranckich. Scharakteryzowano prowadzone specjalności i podano zamierzenia w zakresie umiędzynarodowienia studiów...
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A shared curriculum for daylighting education to meet the educational needs of society
PublikacjaThis article describes the collaborative creation of the curriculum for a new eLearning programme on daylighting design of buildings targeting both traditional and lifelong learners. The programme consists of an online platform integrated with a summer school for practical applications. The process was conducted through several workshops with professionals, representatives of national bodies on building regulations, academics,...
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Artificial intelligence in architectural education - green campus development research
PublikacjaThe rapid advancement of artificial intelligence (AI) technologies has introduced new possibilities and challenges in design education. This article explores the need for changes and adaptations in the teaching process of design as AI-related technologies, based on image generation, transform the creative process and offer novel opportunities. In a research-by-design studio in an architectural faculty in Poland, students who utilised...
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The efficiency of scientific activities and technology transfer in higher education in Poland
PublikacjaThe objective of the article is to measure and evaluate the efficiency of scientific activity and technology transfer to the economy by public higher education institutions (HEIs) in Poland and to formulate recommendations for state policy to increase the effectiveness of the technology transfer process by them. The study measured scientific activity and technology transfer separately in two groups of higher education institutions...
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Development of Education Tomorrow’s Engineers at the Faculty of Mechanical Engineering in GUT
PublikacjaPaper presents educational activity of Faculty of Mechanical Engineering of the Gdańsk University of Technology. Faculty of Mechanical Engineering is one of the largest departments of the Gdańsk University of Technology (GUT), currently educating about 3 000 student. The Faculty of Mechanical Engineering offers studies in different areas: Mechanical Engineering, Medical and Mechanical Engineering, Materials Engineering, Mechatronic,...
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The Towers of Hanoi as a Cyber-Physical System Education Case Study
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First Outcomes of an Investigation about Daylighting Knowledge and Education in Europe
PublikacjaDAYKE (Daylighting Knowledge in Europe) is a project to investigate the daylighting knowledge and skills of Architecture students and practitioners from different countries within the European Union. This paper introduces the first stage of the research and provides results from a direct survey taken by 161 students from seven schools of Architecture: two in Italy, one in The Netherlands, two in Poland and two in Spain. The results...
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MSRL 2.0. as a new method for research education on urban issues
PublikacjaThe MSRL 2.0. research is focused on the Baltic Sea Region (BSR) as a multidimensional urban phenomenon with Gdansk acting as a hub for the research teams. The idea of the MSRL 2.0. is to promote the collaboration of professionals and graduate and PhD students by bringing together the mentor(s) with a local research team sharing experiences and proposing strategic recommendations to strengthen sustainable urban development initiatives...
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The ancient formula of master-apprentice relevance in contemporary architecture education.
PublikacjaThe universalization of the methodology for determining the quality of European higher education exposes the aspect of supporting the student in the education process, which takes the form of tutoring or supervising - a modern form of ancient master-apprentice relationship. The 'master' in architectural education has lawful building qualification and is a member in national architect association - a sine qua non with respect to...
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Green analytical chemistry as an integral part of sustainable education development
PublikacjaGreen chemistry is an important way of thinking in the field of chemistry and aims to conduct processes in accordance with the principles of sustainable development. It is the application of a wide range of principles that minimize the impact of both chemical processes and products on the environment. And what about analytical chemistry? Without a doubt, analytical chemistry plays an important role in the sustainable development...
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EIA in teaching sustainable development and environmental protection in engineering education
PublikacjaA multifaceted approach in teaching the environmental impact assessment (EIA) as a way to stress the role of environmental education in technical sciences is the focus of this article. The EIA is an example of an effective tool that supports spatial planning in implementing sustainable development. The aim is to present the idea and benefits of a facilitative and collaborative approach in teaching the EIA, stressing the role of...
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Design thinking (DT) for the design and planning education of engineer-architects
PublikacjaEngineers are facing new challenges connected with globalisation, digitisation and the increased complexity of the design process. This calls for new, more interdisciplinary and user-oriented approaches to problem- solving. In this article, the authors analyse design thinking (DT) as a method to support the education of engineers specialising in architecture and urban planning. Identified in this study are the opportunities this...
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Artificial Intelligence Technologies in Education: Benefits, Challenges and Strategies of Implementation
PublikacjaSince the education sector is associated with highly dynamic business environments which are controlled and maintained by information systems, recent technological advancements and the increasing pace of adopting artificial intelligence (AI) technologies constitute a need to identify and analyze the issues regarding their implementation in education sector. However, a study of the contemporary literature reveled that relatively...
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Lighting education for architects, the barriers and challenges: a survey of architecture students
PublikacjaCreating a well-lit environment requires the understanding of daylight and electric lighting design principles within the built environment. Recent years have brought a large number of new lighting assessment and design methods. The discovery of new photoreceptor cells in the eye - photosensitive retinal ganglion cells - forced lighting researchers to focus on parametrisation for the image forming (IF) and non-image forming (NIF)...
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Analysis of Learning Outcomes in Medical Education with the Use of Fuzzy Logic
PublikacjaThe national curricula of the EU member states are structured around learning outcomes, selected according to Bloom’s Taxonomy. The authors of this paper claim that using Bloom’s Taxonomy to phrase learning outcomes in medical education in terms of students’ achievements is difficult and unclear. This paper presents an efficient method of assessing course learning outcomes using Fuzzy Logic.
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Three positive solutions to second-order three-point impulsive differential equations with deviating arguments
PublikacjaStosując tw. Leggetta-Williamsa, pokazano że rozpatrywany trzypunktowy problem brzegowy z impulsami ma dodatnie rozwiązania (trzy). Otrzymane twierdzenia dotyczą przypadku opóźnionego oraz wyprzedzonego. W pracy podano przykład i pokazano, że przyjęte założenia są spełnione.
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Positive solutions to second order four-point boundary value problems for impulsive differential equations
PublikacjaPraca dotyczy problemów brzegowych dla równań różniczkowych drugiego rzędu z impulsami. Podane zostały warunki dostateczne na istnienie trzech dodatnich rozwiązań takich problemów z czteropunktowymi warunkami brzegowymi. W badaniach korzystano z twierdzenia Leggetta-Williamsa.
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Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations
PublikacjaW pracy pokazano, że każda A-stabilna dwukrokowa metoda Rungego-Kutty dla równań różniczkowych zwyczajnych rzędu p1 i rzędu etapowego q=p1 może być uogólniona do P-stabilnej metody dla równań różniczkowych z opóźnieniem zbieżnej jednostajnie z rzędem p=p1.
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General solution of quantum mechanical equations of motion with time-dependent Hamiltonians: A Lie algebraic approach
PublikacjaThe unitary operators U(t), describing the quantum time evolution of systems with a time-dependent Hamiltonian, can be constructed in an explicit manner using the method of time-dependent invariants. We clarify the role of Lie-algebraic techniques in this context and elaborate the theory for SU(2) and SU(1,1). In these cases we give explicit formulae for obtaining general solutions from special ones. We show that the constructions...
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A new approach to numerical solution of fixed-point problems and its application to delay differential equations
PublikacjaW pracy rozpatruje się pewne aproksymacje punktu stałego ciągłego operatora A odwzorowującego przestrzeń metryczną w siebie. Wspomniany punkt stały przybliża się tzw. epsilon przybliżonym punktem stałym z przestrzeni skończenie wymiarowej. Udowodnione zostało twierdzenie dające warunki konieczne i dostateczne istnienia punktu stałego w ogólnej przestrzeni metrycznej. Warunki te wyrażone są w terminach epsilon przybliżonego punktu...
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Caratheodory solutions to quasi-linear hyperbolic systems of partial differential equations with state dependent delays
PublikacjaW pracy udowodniono twierdzenie o istnieniu i jednoznaczności rozwiązań oraz o ich ciągłej zależności od warunków początkowych dla układów równań różniczkowych cząstkowych z opóźnionym argumentem, zależnym od funkcji niewiadomej. Posłużono się metodą bicharakterystyk a istnienia dowiedziono stosując twierdzenie Banacha o punkcie stałym.
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THIRD-ORDER EXPONENTIAL INTEGRATOR FOR LINEAR KLEIN–GORDON EQUATIONS WITH TIME AND SPACE-DEPENDANT MASS
PublikacjaAllowing for space- and time-dependance of mass in Klein–Gordon equations re- solves the problem of negative probability density and of violation of Lorenz covariance of interaction in quantum mechanics. Moreover it extends their applicability to the domain of quantum cosmology, where the variation in mass may be accompanied by high oscillations....
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THIRD-ORDER EXPONENTIAL INTEGRATOR FOR LINEAR KLEIN–GORDON EQUATIONS WITH TIME AND SPACE-DEPENDANT MASS
PublikacjaAllowing for space- and time-dependance of mass in Klein–Gordon equations re- solves the problem of negative probability density and of violation of Lorenz covariance of interaction in quantum mechanics. Moreover it extends their applicability to the domain of quantum cosmology, where the variation in mass may be accompanied by high oscillations....
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Application of least squares with conditional equations method for railway track inventory using GNSS observations
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Generalized solution of mixed problems for first order partial differential equations with state dependent delays
PublikacjaW pracy zostało udowodnione twierdzenie o istnieniu i jednoznaczności rozwiązań dla zagadnień początkowo-brzegowych z cząstkowym równaniem różniczkowo-funkcyjnym z opóźnionym argumentem zależnym od funkcji niewiadomej. Użyto metody bicharakterystyk. Jednoznaczność rozwiązań wykazano metodą porównawczą, istnienie - metodą ciągów przybliżeń.
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Approximate solution for Euler equations of stratified water via numerical solution of coupled KdV system
PublikacjaWe consider Euler equations with stratified background state that is valid for internal water waves. The solution of the initial-boundary problem for Boussinesq approximation in the waveguide mode is presented in terms of the stream function. The orthogonal eigenfunctions describe a vertical shape of the internal wave modes and satisfy a Sturm-Liouville problem. The horizontal profile is defined by a coupled KdV system which is...
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Solvability of three point boundary value problems for second order differential equations with deviating arguments
PublikacjaBadano problem istnienia rozwiązań dla równań różniczkowych rzędu drugiego z trzypunktowymi warunkami brzegowymi. Podano warunki dostateczne dla istnienia ekstremalnych lub kwazi-ekstremalnych rozwiązań powyższych problemów. Przedmiotem badań były również nierówności różniczkowe z odchylonymi argumentami.
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A Model of Thermal Energy Storage According to the Convention of Bond Graphs (BG) and State Equations (SE)
PublikacjaThe main advantage of the use of the Bond Graphs method and State Equations for modeling energy systems with a complex structure (marine power plants, hybrid vehicles, etc.) is the ability to model the system components of different physical nature using identical theoretical basis. The paper presents a method of modeling thermal energy storage, which is in line with basic BG theory. Critical comments have been put forward concerning...
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Existence of positive solutions to third order differential equations with advanced arguments and nonlocal boundary conditions
PublikacjaPraca dotyczy warunków dostatecznych na istnienie dodatnich rozwiązań dla równań różniczkowych z wyprzedzonymi argumentami i warunkami brzegowymi zawierającymi całki Stieltjesa.
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Balance errors generated by numerical diffusion in the solution of non-linear open channel flow equations
PublikacjaThe paper concerns the untypical aspect of application of the dissipative numerical methods to solve nonlinear hyperbolic partial differential equations used in open channel hydraulics. It is shown that in some cases the numerical diffusion generated by the applied method of solution produces not only inaccurate solution but as well as a balance error. This error may occur even for an equation written in the conservative form not...
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Variational principles for bound states of Schrödinger and Dirac equations allowing the use of discontinuous trial functions
PublikacjaWe present systematic constructions of variational principles for energies of bound states of the Schroedinger and Dirac equations. The principles allow the use of discontinuous trial functions. The method employed is based on a generalized Lagrange procedure. Relationships between our variational principles and those available in the literature are established.
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2-D constitutive equations for orthotropic Cosserat type laminated shells in finite element analysis
PublikacjaWe propose 2-D Cosserat type orthotropic constitutive equations for laminated shells for the purpose of initial failure estimation in a laminate layer. We use nonlinear 6-parameter shell theory with asymmetric membrane strain measures and Cosserat kinematics as the framework. This theory is specially dedicated to the analysis of irregular shells, inter alia, with orthogonal intersections, since it takes into account the drilling...