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Search results for: LAPLACE EQUATION
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JOURNAL OF DIFFERENTIAL EQUATIONS
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The Material Anisotropy Influence on Modelling of Rutting Test with Application of Linear Viscoelasticity Constitutive Equations
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Boundary value problems for first-order impulsive ordinary differential equations with delay arguments
PublicationPraca dotyczy problemów istnienia rozwiązań dla pierwszego rzędu równań różniczkowych typu opóźnionego z impulsami. Podano warunki dostateczne na istnienie ekstremalnych kwazi-rozwiązań. Podano też warunki przy których powyższe zagadnienie ma jedyne rozwiązanie. Praca zawiera też przykład ilustrujący otrzymane wyniki teoretyczne.
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Theoretical and computational analysis of nonlinear fractional integro-differential equations via collocation method
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Use of a Least Squares with Conditional Equations Method in Positioning a Tramway Track in the Gdansk Agglomeration
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Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions
PublicationBadane są problemy brzegowe dla równań różniczkowych rzędu czwartego z odchylonymi argumentami i z warunkami brzegowymi typu całkowego. Sformułowano twierdzenie dotyczące istnienia dodatnich rozwiązań takich problemów. W dowodzie korzystano z tw. Avery-Petersona o punktach stałych dla stożków. Podano przykład ilustrujący otrzymane wyniki.
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Non-linearity of multibody dynamic equations with respect to Lagrange multipliers: application to railway dynamics
PublicationPraca koncentruje się na dynamice układów wieloczłonowych z zamkniętymi łańcuchami członów. Głównym punktem zainteresowania jest modelowanie układów z występującymi nieliniowymi zależnościami opisującymi wpływ siły mnożników Lagrange'a na dynamikę układu (nieliniowe modele siły tarcia.). Aby zbudować model dynamiki układu zawierającego zamknięte łańcuchy członów, wspomniane łańcuchy są "rozcinane" i budowana jest struktura drzewa...
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Multiple solutions of boundary-value problems for fourth-order differential equations with deviating arguments
PublicationPraca dotyczy równań różniczkowych rzędu czwartego z warunkami brzegowymi i odchylonymi argumentami. Podano wystarczające warunki, dla których problemy dotyczące takich równań mają dodatnie rozwiązania. W pracy rozważa się przypadki kiedy argumenty odchylone są typu opóźnionego lub wyprzedzonego. W celu zapewnienia istnienia przynajmniej trzech dodatnich rozwiązań wykorzystano twierdzenie Avery-Petersona.
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Boundary value problems for differential equations with deviated arguments which depend on the unknown solution
PublicationDyskutowane są zagadnienia brzegowe dla równań różniczkowo funkcyjnych pierwszego rzędu z odchylonym argumentem zależnym od nieznanego rozwiązania. Sformułowane są warunki dostateczne isnienia quasirozwiązań i rozwiązań takich zagadnień.
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Effective highly accurate time integrators for linear Klein-Gordon equations across the scales
PublicationWe propose an efficient approach for time integration of Klein-Gordon equations with highly oscillatory in time input terms. The new methods are highly accurate in the entire range, from slowly varying up to highly oscillatory regimes. Our approach is based on splitting methods tailored to the structure of the input term which allows us to resolve the oscillations in the system uniformly in all frequencies, while the error constant...
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Effective highly accurate time integrators for linear Klein-Gordon equations across the scales
PublicationWe propose an efficient approach for time integration of Klein-Gordon equations with highly oscillatory in time input terms. The new methods are highly accurate in the entire range, from slowly varying up to highly oscillatory regimes. Our approach is based on splitting methods tailored to the structure of the input term which allows us to resolve the oscillations in the system uniformly in all frequencies, while the error constant...
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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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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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Piecewise continuous distribution function method: Fluid equations and wave disturbances at stratified gas
PublicationUkład równań typu hydrodynamicznego dla warstwowych gazów w polu grawitacyjnym pochodzi od równania BGK metodą częściowej ciągłej funkcji dystrybucji. Otrzymany system równań uogólnia układ Naviera-Stokesa w dowolnych liczbach Knudsena. Rozwiązania WBK dla ultradźwięku wprowadza się w przypadku stratyfikacji exponecjalnej.
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Runge-Kutta bicharacteristic methods for first order partial functional di- fferential equations
PublicationW pracy prezentujemy nową klasę metod numerycznych dla równań różniczkowo-funkcyjnych. Są to metody bicharakterystyk Rungego-Kutty. Ponadto porównuje-my wprowadzone metody z metodami klasycznymi.
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Use of a Least Squares with Conditional Equations Method in Positioning a Tramway Track in the Gdansk Agglomeration
PublicationSatellite 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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Explicit and implicit difefrence methods for quasilinear first order partial functional differential equations.
PublicationInitial boundary value problems of the Dirichlet type for quasilinear functional differential equations are considered. Explicit difference schemes of the Euler type and implicit difference methods are investigated. Suffcient conditions for the convergence of approximate solutions are given and comparisons of the methods are presented. It is proved that assumptions on the regularity of given functions are the same for both classes...
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Fractional neutron point kinetics equations for nuclear reactor dynamics – Numerical solution investigations
PublicationThis paper presents results concerning numerical solutions to a fractional neutron point kinetics model for a nuclear reactor. The paper discusses and expands on results presented in (Espinosa-Paredes et al., 2011). The fractional neutron point kinetics model with six groups of delayed neutron precursors was developed and a numerical solution using the Edwards’ method was proposed (Edwards et al., 2002). The mathematical model...
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Positive solutions for second order impulsive differential equations involving Stieltjes integral conditions
PublicationIn this paper we investigate integral boundary value problems for fourth order differentialequations with deviating arguments.Wediscuss our problem both for advanced or delayedarguments. We establish sufficient conditions under which such problems have positivesolutions. To obtain the existence of multiple (at least three) positive solutions, we use afixed point theorem due to Avery and Peterson. An example is also included to...
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Weighted difference schemes for systems of quasilinear first order partial functional differential equations
PublicationThe 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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Heat transfer in plate heat exchanger channels: experimental validation of selected correlation equations
PublicationThis 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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Initial value problems for neutral fractional differential equations involving a Riemann-Liouville derivative
PublicationBadano równania neutralne typu ułamkowego z odchylonym argumentem. Podano warunki dostateczne na istnienie jednego rozwiązania.
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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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ADAPTIVE METHOD FOR THE SOLUTION OF 1D AND 2D ADVECTION-DIFFUSION EQUATIONS USED IN ENVIRONMENTAL ENGINEERING
PublicationThe 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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Heat transfer in plate heat exchanger channels: experimental validation of selected correlation equations
PublicationThis 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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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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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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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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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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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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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
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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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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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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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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The Towers of Hanoi as a Cyber-Physical System Education Case Study
Publicationcps
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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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Greening Higher Education in Europe. Institutional Transitions to Sustainable Development
PublicationThis book provides a comprehensive overview of the advances made in European higher education institutions (HEIs) over the last twenty years in response to the challenges of sustainable development. In recent years, there has been a visible shift toward sustainable development, and universities have been addressing their accountability to the public through corporate social responsibility. Greening Higher Education in Europe explores...
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Business Process Management education in Poland: A manifesto for academic teaching
PublicationThis paper critically assesses Business Process Management (BPM) education in Poland and provides evidence-based recommendations for improvement. Through a survey of 44 BPM educators, the study evaluates BPM lifecycle coverage, IT tool utilization, and incorporation of the Six Core Elements of BPM. The findings reveal a focus on process modeling and analysis, identifying gaps in the way the entire BPM lifecycle is addressed. Despite...
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Beyond Traditional Learning: The LLM Revolution in BPM Education at University
PublicationLarge Language Models (LLMs) significantly impact higher education, requiring changes in educational processes, especially in Business Process Management (BPM) practical exercises. The research aims to evaluate the effectiveness of LLMs in BPM education to determine if LLMs can supplement educators. The study involved 33 master’s degree students. Students’ works were manually evaluated and compared to LLM-generated responses. Results...
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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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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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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,...