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Existence of solutions with an exponential growth for nonlinear differential-functional parabolic equations
PublikacjaWe consider the Cauchy problem for nonlinear parabolic equations with functional dependence.We prove Schauder-type existence results for unbounded solutions. We also prove existence of maximal solutions for a wide class of differential functional equations.
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Positive solutions to fractional differential equations involving Stieltjes integral conditions
PublikacjaIn this paper, we investigate nonlocal boundary value problems for fractional differential equations with dependence on the first-order derivatives and deviating arguments. Sufficient conditions which guarantee the existence of at least three positive solutions are new and obtained by using the Avery–Peterson theorem. We discuss problems (1) and (2) when argument b can change the character on [0, 1], so in some subinterval I of...
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Existence results to delay fractional differential equations with nonlinear boundary conditions
PublikacjaPraca dotyczy problemów brzegowych dla ułamkowych równań różniczkowych z opóźnionym argumentem. Podano warunki dostateczne na istnienie rozwiązań ekstremalnych takich zagadnień.
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Existence of Two Periodic Solutions to General Anisotropic Euler-Lagrange Equations
PublikacjaAbstract. This paper is concerned with the following Euler-Lagrange system d/dtLv(t,u(t), ̇u(t)) =Lx(t,u(t), ̇u(t)) for a.e.t∈[−T,T], u(−T) =u(T), Lv(−T,u(−T), ̇u(−T)) =Lv(T,u(T), ̇u(T)), where Lagrangian is given by L=F(t,x,v) +V(t,x) +〈f(t),x〉, growth conditions aredetermined by an anisotropic G-function and some geometric conditions at infinity.We consider two cases: with and without forcing termf. Using a general version...
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Heteroclinic solutions of Allen-Cahn type equations with a general elliptic operator
PublikacjaWe consider a generalization of the Allen-Cahn type equation in divergence form $-\rm{div}(\nabla G(\nabla u(x,y)))+F_u(x,y,u(x,y))=0$. This is more general than the usual Laplace operator. We prove the existence and regularity of heteroclinic solutions under standard ellipticity and $m$-growth conditions.
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Diffusion equations with spatially dependent coefficients and fractal Cauer-type networks
PublikacjaIn this article, we formulate and solve the representation problem for diffusion equations: giving a discretization of the Laplace transform of a diffusion equation under a space discretization over a space scale determined by an increment h > 0, can we construct a continuous in h family of Cauer ladder networks whose constitutive equations match for all h > 0 the discretization. It is proved that for a finite differences discretization...
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Numerical method of lines for first order partial differential functional equations
PublikacjaUdowodniono zbieżność numerycznej metody prostych dla równań różniczkowofunkcyjnych o pochodnych cząstkowych pierwszego rzędu i ich rozwiązań klasycznych określonych na piramidzie Haara. Zastosowano metodę nierówności różniczkowych.
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Existence of solutions of boundary value problems for differential equations with delayed arguments.
PublikacjaPodane zostały warunki dostateczne na istnienie i jednoznaczność rozwiązań problemów brzegowych dla równań różniczkowych z odchylonymi argumentami.Problem istnienia ekstremalnych rozwiązań również był przedmiotem badań. Podano konstrukcję monotonicznych iteracji i pokazano, że iteracje te są zbieżne do szukanego rozwiązania. Praca zawiera przykłady które ilustrują ogólną teorię.
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Numerical approximation of first order partial differential equations withdeviated variables.
PublikacjaKlasyczne rozwiązania nieliniowego zagadnienia Cauchy´ego określone na piramidzie Haara są aproksymowane za pomocą rozwiązań układów quasiliniowych równań różnicowych. Stabilność schematu różnicowego jest wykazana metodą porównawczą z zastosowaniem nieliniowych oszacowań typu Perrona dla danych funkcji. Podano przykłady numeryczne.
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Finite difference approximations for nonlinear first order partial differential equations
PublikacjaKlasyczne rozwiązania nieliniowych równań różniczkowych o pochodnych cząst-kowych pierwszego rzędu są aproksymowane za pomocą równań quasiliniowych uk-ładów równań różniczkowych. Dowód zbieżności wykorzystuje metody porównawcze
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Generalized Euler method for nonlinear first order partial differential equations.
PublikacjaKlasyczne rozwiązania nieliniowych równań różniczkowych cząstkowych pierwszego rzędu są aproksymowane w tej pracy za pomocą rozwiązań quasiliniowych układów równań różnicowych. Podstawowa idea pracy jest oparta na teorii charakterystyk. Podane są warunki wystarczające dla zbieżności metody. Dowód stabilności schematu różnicowego wykorzystuje metodę porównawczą z nieliniowymi oszacowaniami typu Perrona dla danych funkcji.Podane...
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Numerical modelling of elasto-viscoplastic Chaboche constitutive equations using MSC.Marc.
PublikacjaArtykuł omawia wykorzystanie specjalnej procedury UVSCPL umożliwiającej wprowadzenie do komercyjnego programu MSC.Marc sprężysto-lepkoplastycznych równań modelu Chaboche'a. Prezentuje szereg przykładów numerycznych, które potwierdzają poprawność zaproponowanej koncepcji analizy konstrukcji z wykorzystaniem rozpatrywanego prawa Chaboche'a ze zniszczeniem.
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Quadratic convergence of monotone iterations for differential equations with initial time difference
PublikacjaPodano warunki dostateczne na to, aby iteracje monotoniczne były zbieżne do jedynego rozwiązania równania różniczkowego przy różnych warunkach początkowych. Pokazano, że jest to zbieżność kwadratowa.
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Interaction of vortical and acoustic waves: from general equations to integrable cases
PublikacjaWyprowadzono operatory rzutu przepływu w warstwie lepkiej przyściennej na podstawowe typy ruchów. Wyprowadzono również układy równań dynamicznych sterujących przepływem. Zaproponowano metody analityczne dalszego rozwiązywania tych równań.
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Implicit difference methods for first order partial differential functional equations
PublikacjaW pracy prezentowana jest nowa klasa metod numerycznych dla quasiliniowych równań różniczkowo funkcyjnych pierwszego rzędu. Są to schematy różnicowe uwikłane względem zmiennej czasowej. Podana jest pełna analiza zbieżności rozważanych metod uwikłanych oraz przykład numeryczny pokazujący, że klasa tych metod jest szersza niż klasa schematów jawnych. Dowód stabilności opiera się na technice porównawczej z nieliniowym oszacowaniem...
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Implicit difference methods for nonlinear first order partial differential equations
PublikacjaW pracy klasyczne rozwiązania początkowo brzegowych problemów dla nieliniowych równań różniczkowych, szacowane są przez rozwiązania quasiliniowych układów uwikłanych równań różnicowych. Dowód zbieżności rozważanych metod opiera się na technice porównawczej z nieliniowym oszacowaniem typu Perrona dla funkcji danych. To nowe podejście do uwikłanych metod różnicowych dla równań nieliniowych opiera się na quasilinearyzacji tych metod...
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Boundary value problems for first order differential equations of mixed type
PublikacjaPraca dotyczy równań różniczkowo-całkowych z nieliniowymi warunkami brzegowymi. Podano warunki dostateczne na istnienie jedynego rozwiązania oraz rozwiązań ekstremalnych takich problemów. Dyskutowane są nierówności różniczkowo-całkowe. Podano przykłady ilustrujące otrzymane wyniki teoretyczne.
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Efficiency of acoustic heating in the Maxwell fluid
PublikacjaThe nonlinear effects of sound in a fluid describing by the Maxwell model of the viscous stress tensor is the subject of investigation. Among other, viscoelastic biological media belong to this non-newtonian type of fluids. Generation of heating of the medium caused by nonlinear transfer of acoustic energy, is discussed in details. The governing equation of acoustic heating is derived by means of the special linear combination...
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Efficiency of acoustic heating in the Maxwell fluid
PublikacjaThe nonlinear effects of sound in a fluid describing by the Maxwell model of the viscous stress tensor is the subject of investigation. Among other, viscoelastic biological media belong to this non-newtonian type of fluids. Generation of heating of the medium caused by nonlinear transfer of acoustic energy, is discussed in details. The governing equation of acoustic heating is derived by means of the special linear combination...
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The Sense of Security of the Prison Service Offi cers
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The difficult heritage. The reuse of former prison buildings
PublikacjaIn recent years, there has been a trend to reuse abandoned buildings. Adaptive re-use allows preservation of the original structure and implements a new function to it. Such activity could help to preserve the historic value of buildings; moreover, many other advantages can be found in educational, ecological and economic fields. However, the question arises of whether every object can be freely adapted. This article examines the...
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Longitudinal Motion Due to Action of Tunnel Thrusters
PublikacjaTunnel thrusters are propulsion and active control devises that provide a side force, or transverse thrust, to support mooring operations or position keeping. They shorten the time of manoeuvring, reduce the cost of towage and since inception, manoeuvrability specifically in ports has become a lot easier. Tunnel thrusters can either be operated manually or with the help of Dynamic Positioning systems which makes it even more efficient. Theoretically,...
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A New Method for Automatic Generation of Animated Motion
PublikacjaA new method for generation of animation with a quality comparable to a natural motion is presented. Proposed algorithm is based on fuzzy description of motion parameters and subjective features. It is assumed that such processing increases naturalness and quality of motion, which is verified by subjective evaluation tests. First, reference motion data are gathered utilizing a motion capture system, then these data are reduced...
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Numerical simulation of energy buoy motion in wave
PublikacjaW pracy przedstawiono opis numerycznej metody modelowania ruchu boi energetycznej na fali. Wyniki obliczeń porównano z wynikami otrzymanymi z badań modelowych przeprowadzonych w basenie hydromechanicznym.
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Identification of hydroacoustic wave sources of ship in motion
PublikacjaThis paper deals with results of identification tests of acoustic field spectrum of underwater noise generated by ship in motion. The field is connected with acoustic activity of ship mechanisms and devices in operation. Vibration energy generated by the mechanisms and devices is transferred through ship structural elements to surrounding water where it propagates in the form of acoustic waves of a broad band of frequencies. In...
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Analysis of activity of people using motion sensors
PublikacjaThe article presents the designed and implemented system for activity monitoring of people using passive motion sensors and methods for activity maps generation. In the paper he method is presented and results obtained for simulated data and for data from observations with the participation of people.
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The Motion Analysis of Attacus Atlas Rigid Wing
PublikacjaThe remarkable aerodynamic efficiency of flapping insect wings has fascinated researchers for many years. Butterfly wings are distinguished by a much larger lifting surface, and thus, a different style of flapping flight. The considerations described in the article are an introduction to a fully flexible analysis of the wing in motion. The study of the rigid wing gives the basic knowledge necessary in the further process. The yaw,...
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HEAVE MOTION OF A VERTICAL CYLINDER WITH HEAVE PLATES
PublikacjaThe shape of a vertical cylinder resembles the classic form of a spar platform. Spar platforms are floating platforms that are successfully used in waters of great depths and have several advantages that mean they are readily used in the oil industry. Many of these advantages are also relevant to their application for offshore wind turbines, which is currently being considered. In the hydrodynamic analysis of spar platforms, the...
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Education in Biomedical Engineering at the Gdansk University of Technology
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Access to Higher Education: the Adult Learners' Perspective
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The culture of excellence and its dimensions in higher education
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Architectural education and digital tools: the challenges and opportunities
PublikacjaEnriching architectural education with digital tools is the subject of this article. Such tools can create, support and visualise architecture. The focus in this article is on an interdisciplinary approach to media architecture (allowing variable visual content of architectural objects) and interactivity (user-space communication), revealing new possibilities in terms of human perception. The results of a survey on media architecture...
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The CDIO model in architectural education and research by design
PublikacjaArchitectural education has always been related to experimentation: that is, defining concepts, drawing sketches, working on models, then testing and modifying them. This activity mirrors the CDIO learning methods and objectives. Despite this, research studies into the applicability of the CDIO model in architectural curricula are scarce. In the discipline of architecture, hands-on experiences are associated not only with one of...
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Contemporary architecture within the context of architectural education
PublikacjaAnalysed in this article are the diploma projects of students of architecture in European countries. The aim was to examine how students approach an important issue related to sustainable development, i.e. the integration of newly designed architecture into the existing historical, cultural and natural context. The rational use and protection of the environment requires the skilful shaping of urbanised space. Many changes in the...
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Including the Dark Side of Entrepreneurship in the Entrepreneurship Education
PublikacjaPursuing an entrepreneurial career is often rewarding in terms of both economic and psychological outcomes. However, becoming an entrepreneur also has its darker side that affects professional and personal life. Meanwhile, the positivity bias is prevalent in entrepreneurial education and research. It is recognized as emphasizing the advantages of becoming an entrepreneur and giving considerably less attention to potential downsides....
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COLLABORATIVE LEARNING ENVIRONMENT FOR ENGINEERING EDUCATION (COLED)
PublikacjaCollaborative Learning Environment for Engineering Education is a European project implemented under the Erasmus + program, The main goal of 5 partners from 4 different European countries – Bulgaria, Poland, Portugal and Romania is to develop an innovative collaborative training approach, encompassing curricula related to the introduction of enterprise automation. Project activities are carried out in the period from Dctober 2018...
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Building Sustainable Cities. Challenges for professional education
PublikacjaW artykule zawarto rozważania na temat problemu dostosowania profilu i charakteru edukacji planistycznej i urbanistycznej do potrzeb zmianiającego się świata. W szczególności okreslone zostały przyczyny koniecznych zmian wtym zakresie oraz kierunki działania.
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ATTITUDE OF YOUTH TO SELECT SPECIALTY AND QUALITY OF EDUCATION
PublikacjaThe problems of young people guidance on the choice of profession according to the labour market requirements and the education quality are considered. The problem of youth education and employment is very topical, and in relation to vocational education the main theoretical and practical approaches to its modernization should be changed. The paper is determined the key aspects for choosing the University to receive education and...
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Friendly Applications: supporting education of children with autism
PublikacjaFriendly Applications is a project introducing a family of applications supporting education of children with autism at kindergarten level. The applications were developed as a joint initiative of Gdansk University of Technology and Institute for Child Development, which uses the applications in daily educational activities.
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Managerial Education and Entrepreneurial Attitudes of Students: Is There a Link?
PublikacjaThe role of entrepreneurship over the last few decades has constantly been growing for a number of reasons. This is accompanied by a growing number of students choosing fields of study where entrepreneurship education is an indispensable part of the curriculum, such as business studies or management. Efficiency of entrepreneurship education, often measured by entrepreneurship intentions revealed by students, is examined in numerous...
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Multimedia in teaching economics and management in higher education.
PublikacjaNowadays, the use of multimedia teaching materials at universities makes a standard practice. However their saturation is still quite low comparing to the expectations of students - the main consumers of the information contained therein. This article will present the results of research conducted among students of Management and Engineering Management carried at the Technical University of Gdańsk. Some students of Computer Science...
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Knowledge pills in Education and Training: A Literature Review
PublikacjaObject and purpose: Knowledge pills (KPs) are a technique for transferring knowledge through short factual batches of content. In education and vocational training, they can help learners acquire specific pieces of knowledge in a few minutes, through a “microteaching” approach where learners can be involved in active and interactive exercises, quizzes, and games. Thanks to the advancements of multimedia platforms, they can contain...
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The culture of excellence and its dimensions in higher education
PublikacjaPurpose To recognize the existing state of knowledge on a culture of excellence (CoE) in higher education institutions (HEIs) and to define the CoE in HEI and the dimensions that make up that culture. A subsidiary goal is to propose a qualitative tool to measure CoE maturity. Design/methodology/approach The study was based on the qualitative method, the preferred reporting system of systematic reviews and meta-analysis (PRISMA)....
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BIOMEDICAL ENGINEERING EDUCATION IN POLAND - PIONEERS AND INSTITUTIONS
PublikacjaThe aim of this chapter is to show the history of biomedical engineering education in Poland, from the beginning till today with special task to underline the role of modern information technology. This story is not very old, just around one century, that may be classified into four basic periods related to important historic events. First are the beginnings before the second world war. Then post-war recovery and development of...
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E-textbook technologies for academics in medical education
PublikacjaPublic universities in Poland receive fairly limited financial support for creating e-textbooks and lack the appropriate ICT competences among teaching staff, especially in the case of non-technical universities. The authors propose a pedagogical and technological paradigm for e-textbooks in medical education using open source software with minimal IT skills required. Technologies used to develop e-textbooks are connected with:...
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Application of 3D flow solver in education of students
PublikacjaPrzedstawiono zastosowanie metod numerycznej mechaniki płynów w kształceniu studentów uczelni technicznej. Omówiono zastosowanie metod CFD jako narzędzia pomocnego w zrozumieniu zagadnień termodynamiczno-przepływowych stopni turbinowych, jak i w rozwiązywaniu zadań projektowych.
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The interpretation of the parameters of the equation used for the extrapolation of apparent molar volumes of the non-electrolyte (solutes) to the infinite dilution
PublikacjaThe paper discusses how to interpret the parameters of the basic equation used for the extrapolation of the apparent molar volume of the solute to infinite dilution. The common misunderstandings and oversimplifications have been pointed out. We present the alternative ways of the data interpretation that can be used to eliminate these obvious but frequent mistakes.
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Simulation of unsteady flow over floodplain using the diffusive wave equation and the modified finite element method
PublikacjaWe consider solution of 2D nonlinear diffusive wave equation in a domain temporarily covered by a layer of water. A modified finite element method with triangular elements and linear shape functions is used for spatial discretization. The proposed modification refers to the procedure of spatial integration and leads to a more general algorithm involving a weighting parameter. The standard finite element method and the finite difference...
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Alternative approach to the solution of the momentum-space Schrödinger equation for bound states of the N-dimensional Coulomb problem
PublikacjaW pracy rozważono zagadnienie Schrödingera-Coulomba w R^N, N>=2, w reprezentacji pędowej. Radialne równanie całkowe występujące w stowarzyszonym zagadnieniu sturmowskim rozwiązano, stosując podane przez Ossiciniego symetryczne rozwinięcie typu Poissona funkcji Legendre'a drugiego rodzaju w szereg iloczynów wielomianów Gegenbauera. Następnie wykorzystano relację pomiędzy rozwiązaniami zagadnienia sturmowskiego oraz zagadnienia własnego...
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Impact of diffusion coefficient averaging on solution accuracy of the 2D nonlinear diffusive wave equation for floodplain inundation
PublikacjaIn the study, the averaging technique of diffusion coefficients in the two-dimensional nonlinear diffusive wave equation applied to the floodplain inundation is presented. As a method of solution, the splitting technique and the modified finite element method with linear shape functions are used. On the stage of spatial integration, it is often assumed that diffusion coefficient is constant over element and equal to its average...