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Search results for: RICHARDS’ EQUATION
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Variational principles for bound states of Schrödinger and Dirac equations allowing the use of discontinuous trial functions
PublicationWe 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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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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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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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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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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Application of Least Squares with Conditional Equations Method for Railway Track Inventory Using GNSS Observations
PublicationSatellite geodetic networks are commonly used in surveying tasks, but they can also be used in mobile surveys. Mobile satellite surveys can be used for trackage inventory, diagnostics and design. The combination of modern technological solutions with the adaptation of research methods known in other fields of science offers an opportunity to acquire highly accurate solutions for railway track inventory. This article presents the...
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Numerical analysis of open channel steady gradually varied flow using the simplified saint-venant equations
PublicationFor one-dimensional open-channel flow modeling, the energy equation is usually used. There exist numerous approaches using the energy equation for open-channel flow computations, which resulted in the development of several very efficient methods for solving this problem applied to channel networks. However, the dynamic equation can be used for this purpose as well. This paper introduces a method for solving a system of non-linear...
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The Weibull model of the multipath fading channel
Open Research DataThe dataset contains the results of simulations that are part of the research on modelling the multipath fading in the communication channel. The Weibull fading envelope is generated using the Monte-Carlo simulation (MCS) in the LabVIEW programming environment.
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Database of the convergence analysis results of the nonstandard approximation of the generalized Burgers–Huxley equation for the solution bounded within [0,1].
Open Research DataThe presented dataset is a result of the convergence analysis of the Mickens-type, nonlinear, finite-difference discretization of a generalized Burgers–Huxley partial differential equation.
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Education Sciences
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Building Sustainable Cities - Challenges for professional Education with Special Attention on Poland
PublicationW artykule omówiono problemy związane ze współczesnym kształceniem urbanistów w Polsce. Dokonano tego na tle zarysowanych problemów gospodarowania przestrzenią w kraju oraz z uwzględnieniem istniejących potrzeb w zakresie równoważenia jego rozwoju.
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Determinants And Barriers In The Development Of The Entrepreneurial Orientation In The Polish Higher Education Institutions
PublicationThe main aim of the paper is to present the results of the research project on the entrepreneurship in the Polish higher education institutions. The project was funded by the Polish National Science Centre and its main aim was to identify the factors that enable, enhance, limit or disable the entrepreneurial potential in higher education institutions. The paper gives an overview of the identified determinants that foster the entrepreneurial...
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The future of the logistician education in Poland and Ukraine: comparative analysis of the student’s opinion
PublicationBackground: A professional future is the next logical step after a student completes their chosen degree course. More frequently, even during their studies, young people seek opportunities to participate in various conferences, training courses, internships, work placements, and to travel abroad, etc. All of this has one main goal - to increase the student's attractiveness as a potential employee on the labour market. Thus, it...
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Exercise-induced fatigue impairs visuomotor adaptability in physical education students
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Efficiency of the Education System (Primary, Secondary and Tertiary) in Particular Voivodeships of Poland
PublicationThe reform of the Polish education system (both lower and higher education) that was carried out in recent years has shown the need to improve the efficiency of schools. Therefore, it is reasonable to analyse and evaluate the efficiency of educational centres...
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Nonlinear multipoint boundary value problems for second order differential equtions
PublicationPraca dotyczy problemow brzegowych dla rownan rozniczkowych rzedu drugiego z odchylonymi argumentami zaleznymi od rozwiazania. Podano warunki dostateczne na istnienie ekstremalnych rozwiazan. Poroblem istnienia jedynego rozwiazania tez byl przedmiotem badan. Podano dwa przyklady ilustrujace otrzymane wyniki.
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New education standards for engineers at selected faculties of universities of technology in Poland
PublicationWolny rynek edukacji zmierza do punktu finalnego. Kształcenie inżynierów staje się coraz bardziej sprawa globalną. Głównym problemem w kształceniu jest zapewnienie odpowiednich relacji między wykształceniem ogólnym a technicznym specjalistycznym.Dlatego też standardy kształcenia winny stanowić co najmniej 80 % całkowitej liczby godzin przewidzianych programem kształcenia. Dla właściwej edukacji inżynierów niezbędne jest uczestnictwo...
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New direction of education on mechanical engineering faculty in gdansk university of technology
PublicationW artykule opisano szczegółowo kierunki kształcenia wprowadzone w ostatnich latach na Wydziale Mechanicznym Pol. Gd. Przedstawiono ofertę kształcenia na nowych kierunkach takich jak Mechatronika, Inżynieria Mechaniczno-Medyczna oraz Zarządzanie i Inżynieria Produkcji dla studiów stacjonarnych pierwszego stopnia. Opisano również własne doświadczenia w implementacji procesu Bolońskiego trójstopniowego kształcenia w systemie European...
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Electronics and telecommunications in Poland, issues and perspectives: Part I. Society and education
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Green Chemistry in Higher Education: State of the Art, Challenges, and Future Trends
PublicationNowadays, there is increasing interest in global sustainability, and thus, university students would like to know how human actions affect the health status of our planet. This is mainly due to their basic knowledge of problems such as global warming and greenhouse gases. Students would like to gain knowledge on how to safeguard the earth for future generations. This must involve changes in education programs at interested institutions...
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Online Interactivity – Shift Towards E-textbook-based Medical Education
PublicationTextbooks have played the leading role in academic education for centuries and their form has evolved, adapting to the needs of students, teachers and technological possibilities. Advances in technology have caused educators to look for new sources of knowledge development, which students could use inside and outside the classroom. Today’s sophisticated learning tools range from virtual environments to interactive multimedia resources,...
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A Note on Knowledge Management Education: Towards Implementing Active Learning Methods
PublicationKnowledge Management as an area of education is still a big challenge for teachers and practitioners. Nevertheless, there are several useful teaching methods in active education, especially oriented towards courses where innovation and delivering dynamic knowledge are critical. The goal of the paper is to present and discuss criteria relevant in the selection of active educational methods supporting knowledge management courses....
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Frontier education for a sustainable future - speculative design in architecture as a transdisciplinary experiment
PublicationIn this article, the authors propose the term frontier education referring to the well-established notion of frontier research - one, that through opening unexpected transdisciplinary perspectives, may offer new insights and create a fertile ground for new discoveries and ground-breaking concepts. In answer to the question of how to get rid of normative thinking and extend architectural experimentations, a speculative design architectural...
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User-oriented GIS tools in higher education of urban design and planning
PublicationGeographic information systems (GIS) have emerged as indispensable tools for decision-making, planning and problem-solving tasks across various domains in today’s evolving world. However, there exists a pressing need to augment the utilisation of GIS tools in higher education of urban design and planning to foster a user-oriented approach. This article explores the imperative of integrating GIS tools more comprehensively into higher...
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New skills for architects: 3D scanning for an immersive experience in architectural education
PublicationThe authors of this article explore the integration of remote sensing techniques, specifically laser scanning and photogrammetry, as well as immersive visualisation via different methods applied to architectural design processes, and its potential impact on the professional development of future architects. The study demonstrates the value of extending the architectural design process into the interdisciplinary field of geomatics...
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Some remarks about numerical conditioning of discrete time Riccati eqations.
Publication...
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Virtual Models of Analog-Digital Converters in Education of Electrical Measurements and Instrumentation.
PublicationPrzedstawiono opracowane przez autorów przyrządy wirtualne do demonstracji działania przetworników analogowo-cyfrowych: integracyjnego, kompensacyjnego, sigma-delta, z pośrednim sygnałem częstotliwościowym. Programy umożliwiają obserwację zmian napięcia w punktach charakterystycznych układów w spowolnionej skali czasowej. Możliwe jest również zadawanie zakłóceń.
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Fotogrametria internetowa w edukacji i gospodarce.Internet photogrammetry in education and business.
PublicationReferat traktuje o możliwościach wykorzystania nowej technologii fotogrametrycznej - fotogrametrii internetowej - tak w realizacji procesu dydaktycznego, jak i w przedsięwzięciach komercyjnych na rzecz gospodarki. Zaprezentowany zostaje wynik odejścia od stanowiskowych realizacji fotogrametrycznych (stacje robocze) na rzecz wykorzystania koncepcji rozproszonych klientów serwera fotogrametrycznego. Analizie poddano możliwości wykorzystania...
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Positive solutions to second-order differential equations with dependence on the first-order derivative and nonlocal boundary conditions
PublicationIn this paper, we consider the existence of positive solutions for second-order differential equations with deviating arguments and nonlocal boundary conditions. By the fixed point theorem due to Avery and Peterson, we provide sufficient conditions under which such boundary value problems have at least three positive solutions. We discuss our problem both for delayed and advanced arguments α and also in the case when α(t)=t, t∈[0,1]....
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Successive Iterative Method for Higher-Order Fractional Differential Equations Involving Stieltjes Integral Boundary Conditions
PublicationIn this paper, the existence of positive solutions to fractional differential equations with delayed arguments and Stieltjes integral boundary conditions is discussed. The convergence of successive iterative method of solving such problems is investigated. This allows us to improve some recent works. Some numerical examples illustrate the results.
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Chaotic modes of systems described by the Liénard equations with a large period of the right-hand side and impact conditions
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Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients - convergence analysis
PublicationW pracy wykazano zbieżność metody różnicowej dla zagadnienia początkowego dla równania parabolicznego bez pochodnych mieszanych, ze współczynnikami zależnymi od czasu, z nieliniową i nielokalną prawą stroną równania.
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Existence of solutions of boundary value problems for differential equations in which deviated arguments depend on the unknown solution
PublicationPrzy pewnych warunkach, gdy m.in. funkcja f występująca po prawej stronie zagadnienia jest monotoniczna, pokazano że istnieje jedyne rozwiązanie problemu brzegowego dla równań różniczkowych z odchylonymi argumentami gdy ten argument odchylony zależy od nieznanego rozwiązania. Rozważano też zagadnienia gdy występuje więcej takich argumentów odchylonych. Otrzymane wyniki poparto przykładem.
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Description of the solution set of the von Karman equations for a circular plate in a small neighbourhood of a simple bifurcation point
PublicationW niniejszej pracy badamy równania von Karmana dla cienkiej, sprężystej, kołowej płyty na sprężystym podłożu, poddawanej działaniu sił ściskających wzdłuż brzegu. Są to równania różniczkowe cząstkowe IV rzędu. Stosując metody analizy nieliniowej, opisujemy zbiór rozwiązań równań von Karmana w małym otoczeniu jednokrotnego punktu bifurkacji.Badania były finansowane przez grant nr 1 P03A 042 29.
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Recent Achievements in Constitutive Equations of Laminates and Functionally Graded Structures Formulated in the Resultant Nonlinear Shell Theory
PublicationThe development of constitutive equations formulated in the resultant nonlinear shell theory is presented. The specific features of the present shell theory are drilling rotation naturally included in the formulation and asymmetric measures of strains and stress resultants. The special attention in the chapter is given to recent achievements: progressive failure analysis of laminated shells and elastoplastic constitutive relation...
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Równania stanu ośrodków płynnych w akustyce nieliniowej. Equations of state for fluid media in nonlinear acoustics.
PublicationReferat przedstawia analizę termodynamicznych równań stanu pewnych ośrodków płynnych i ich zastosowanie w akustyce nieliniowej do teoretycznego wyznaczania takich wielkości akustycznych jak prędkość dźwięku i współczynnik B/A, C/A. Podano ogólne wyrażenia dla tych wielkości jako funkcje gęstości i temperatury.
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Method to solve the non-linear systems of equations for steady gradually varied flow in open channel network.
PublicationW artykule omówiono rozwiązanie systemu równań nieliniowych opisujacych przepływ ustalony wolnozmienny w sieci kanałów otwartych. Niewiadomymi są glębokości w poszczególnych przekrojach oraz natężenia przepływów w poszczególnych gałęziach systemu. Układ musi być rozwiązywany iteracyjnie. Klasyczne metody Picarda i Newtona mogą okazać się nieskuteczne ze względu na oscylacje rozwiązania w kolejnych iteracjach i związany z tym brak...
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Localization of ferromagnetic objects via magnetometric method near equator
PublicationIstnieje wiele metod wykrywania ukrytych w ziemi obiektów. Metody te można podzielić na pasywne i aktywne. Do metod pasywnych należy metoda magnetometryczna. Obiekt ferromagnetyczny zaburza w swoim otoczeniu równomierność pola magnetycznego. Korzystając z metody magnetometrycznej można to zaburzenie zmierzyć i wykryć obiekt. W pracy przedstawiono nową metodę lokalizacji obiektów ferromagnetycznych metodą magnetometryczną znajdujących...
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DIFFERENTIAL EQUATIONS
Journals -
In Education
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Monotone iterative method to second order differential equations with deviating arguments involving Stieltjes integral boundary conditions
PublicationWe use a monotone iterative method for second order differential equations with deviating arguments and boundary conditions involving Stieltjes integrals. We establish sufficient conditions which guarantee that such problems have extremal solutions in the corresponding region bounded by lower and upper solutions. We also discuss the situation when problems have coupled quasi-solutions. We illustrate our results by three examples.
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Positive solutions of three-point boundary value problems for second order impulsive differential equations with advanced arguments
PublicationW pracy dyskutowano problem istnienia dodatnich rozwiązań dla równań różniczkowych z impulsami rzędu drugiego i z argumentami typu wyprzedzonego. Podano warunki dostateczne na istnienie jednego lub dwóch rozwiązań dodatnich takich zagadnień.
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Very accurate time propagation of coupled Schrödinger equations for femto- and attosecond physics and chemistry, with C++ source code
PublicationIn this article, I present a very fast and high-precision (up to 33 decimal places) C++ implementation of the semi-global time propagation algorithm for a system of coupled Schrödinger equations with a time-dependent Hamiltonian. It can be used to describe time-dependent processes in molecular systems after excitation by femto- and attosecond laser pulses. It also works with an arbitrary user supplied Hamiltonian and can be used...
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Experimental economics in business education: Using simple games to achieve multifaceted effects
PublicationEconomics differs from other sciences not only because of its normative part, but also because of very limited use of experiments. In this way, economics is often perceived as being methodologically more similar to astronomy or meteorology rather than physics or chemistry. Over last decades, however, experimental economics has been significantly developed. This chapter presents some of the possibilities for academic teachers to...
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The role of case studies and management experience in the education and personal developement of IT project managers
PublicationThe purpose of this article is to indicate the need for project management experience and knowledge in order to improve the competence of IT project managers. In the first part of the article there is shown the impact of experience on the development of project management skills. Also the need for having historical data about the projects - in order to make better project decisions - is shown in the article.In the following parts...
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Modern remote sensing and the challenges facing education systems in terms of its teaching
PublicationCurrently the fastest growing area of geodesy is undoubtedly remote sensing. The importance that it has recently conducted on the effectiveness of worldwide research determines its huge success. Examination of the specific characteristics of objects without direct contact with them is a key feature has opened the way to the new very interesting areas of contemporary research. In this light, it seems reasonable to say that there...
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Professional prospects of polish logisticians in the light of the higher education: students’ opinion research.
PublicationThe paper focuses on a topic concerning the students’ professional future. Students more often and more are prepared to leave the labor market. In addition to the ongoing higher education they get their education at a variety of courses and trainings; they increase their skills in workshops or attend internships and practices to become attractive candidates for the job in the eyes of a potential employer. At this point a number...
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Assessment of TFP in European and American higher education institutions – application of Malmquist indices
PublicationIn this study we apply Malmquist methodology, based on the estimation of distance measures through Data Envelopment Analysis (DEA), to a sample of 500 universities (in 10 European countries and the U.S.) over the period 2000 to 2010 in order to assess and compare their productivity. On average, a rise in TFP is registered for the whole European sample (strongest for Dutch and Italian HEIs), while the productivity of American HEIs...
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Effects of mutual learning in physical education to improve health indicators of Ukrainian students
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