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Search results for: MCKENDRICK-VON FOERSTER EQUATION
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Approximate solutions of mixed problems for first order partial differential equations with deviated variables.
PublicationPraca traktuje o przybliżaniu rozwiązań klasycznych równańróżniczkowo-funkcyjnych cząstkowych pierwszego rzędu rozwiązaniamiukładów quasiliniowych równań różnicowych. Nowe podejście dorozwiązywania równań nieliniowych zawdzięczamy metodziequasilinearyzacji dla zagadnień początkowo - brzegowych z odchylonymargumentem. Dla przyrostów pochodnych funkcji danej zakładamy nieliniowe oszacowanie typu Perrona. Załączone są wyniki eksperymentów...
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Multimodal Particle Swarm Optimization with Phase Analysis to Solve Complex Equations of Electromagnetic Analysis
PublicationIn 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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On delay differential equations with almost periodic boundary conditions started from different points
PublicationDyskutowany 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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Efficiency of acoustic heating in the Maxwell fluid
PublicationThe 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
PublicationThe 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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Numerical Analysis of Steady Gradually Varied Flow in Open Channel Networks with Hydraulic Structures
PublicationIn this paper, a method for numerical analysis of steady gradually varied fl ow in channel networks with hydraulic structures is considered. For this purpose, a boundary problem for the system of ordinary differential equations consisting of energy equation and mass conservation equations is formulated. The boundary problem is solved using fi nite difference technique which leads to the system of non-linear algebraic equations....
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Some new soliton solutions to the higher dimensional Burger–Huxley and Shallow water waves equation with couple of integration architectonic
PublicationIn 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
Open Research DataA 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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Joanna Janczewska prof. dr hab.
PeopleJoanna Janczewska obtained her PhD degree at the University of Gdansk in 2002. From October 1999 to September 2004 she was an assistant at the University of Gdansk. Since October 2004 she has been an assistant professor at the Gdansk University of Technology. Moreover, from October 2008 to September 2010 she had a visiting position in the Institute of Mathematics of the Polish Academy of Sciences. Her mathematical interests...
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Internationability of Polish Science and Higher Education
EventsObrady 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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Vortex flow caused by periodic and aperiodic sound in a relaxing maxwell fluid
PublicationThis paper concerns the description of vortex flow generated by periodic and aperiodic sound in relaxing Maxwell fluid. The analysis is based on governing equation of vorticity mode, which is a result of decomposition of the hydrodynamic equations for fluid flow with relaxation and thermal conductivity into acoustical and non-acoustical parts. The equation governing vorticity mode uses only instantaneous, not averaged over sound...
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The Towers of Hanoi as a Cyber-Physical System Education Case Study
Publicationcps
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GBTX Emulation for BM@N/MPD Data Acquisition Systems
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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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Lighting education for architects, the barriers and challenges: a survey of architecture students
PublicationCreating 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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First Outcomes of an Investigation about Daylighting Knowledge and Education in Europe
PublicationDAYKE (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
PublicationThe 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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Development of Education Tomorrow’s Engineers at the Faculty of Mechanical Engineering in GUT
PublicationPaper 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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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.
PublicationNa 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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Cost efficiency of administrative service in public higher education in Poland
PublicationPurpose: 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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100 years of the technical university education in Gdańsk 1904-2004.
PublicationNa 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.
PublicationPrzedstawiono 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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Artificial intelligence in architectural education - green campus development research
PublicationThe 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 ancient formula of master-apprentice relevance in contemporary architecture education.
PublicationThe 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
PublicationGreen 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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A shared curriculum for daylighting education to meet the educational needs of society
PublicationThis 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 Technologies in Education: Benefits, Challenges and Strategies of Implementation
PublicationSince 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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Design thinking (DT) for the design and planning education of engineer-architects
PublicationEngineers 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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Analysis of Learning Outcomes in Medical Education with the Use of Fuzzy Logic
PublicationThe 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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The efficiency of scientific activities and technology transfer in higher education in Poland
PublicationThe 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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EIA in teaching sustainable development and environmental protection in engineering education
PublicationA 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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The description of non-linear interactions of wave and non-wave modes in a non-adiabatic plasma flow
PublicationThe method of derivation of non-linear equations for interacting modes is explained and applied to a plasma's flow affected by a magnetic field. It is based on the linear projecting of the total perturbation field into specific variations of variables in individual modes of a flow. The method may be applied in many examples of fluid flows with different mechanisms of non-adiabaticity. It is of special importance in complex flows...
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Existence of positive solutions to third order differential equations with advanced arguments and nonlocal boundary conditions
PublicationPraca dotyczy warunków dostatecznych na istnienie dodatnich rozwiązań dla równań różniczkowych z wyprzedzonymi argumentami i warunkami brzegowymi zawierającymi całki Stieltjesa.
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Three positive solutions to second-order three-point impulsive differential equations with deviating arguments
PublicationStosując 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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Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations
PublicationW 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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A Model of Thermal Energy Storage According to the Convention of Bond Graphs (BG) and State Equations (SE)
PublicationThe 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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General solution of quantum mechanical equations of motion with time-dependent Hamiltonians: A Lie algebraic approach
PublicationThe 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
PublicationW 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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2-D constitutive equations for orthotropic Cosserat type laminated shells in finite element analysis
PublicationWe 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...
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Application of least squares with conditional equations method for railway track inventory using GNSS observations
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Positive solutions to second order four-point boundary value problems for impulsive differential equations
PublicationPraca 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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Generalized solution of mixed problems for first order partial differential equations with state dependent delays
PublicationW 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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Caratheodory solutions to quasi-linear hyperbolic systems of partial differential equations with state dependent delays
PublicationW 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
PublicationAllowing 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
PublicationAllowing 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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Approximate solution for Euler equations of stratified water via numerical solution of coupled KdV system
PublicationWe 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
PublicationBadano 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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Mountain pass type periodic solutions for Euler–Lagrange equations in anisotropic Orlicz–Sobolev space
PublicationUsing the Mountain Pass Theorem, we establish the existence of periodic solution for Euler–Lagrange equation. Lagrangian consists of kinetic part (an anisotropic G-function), potential part and a forcing term. We consider two situations: G satisfying at infinity and globally. We give conditions on the growth of the potential near zero for both situations.