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Search results for: richards equation
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On convergence and stability of a numerical scheme of Coupled Nonlinear Schrödinger Equations
PublicationRozważamy rozwiązania numeryczne układu sprężynowych równań nieliniowych Schrödingera. Udowodniliśmy stabilność i zbieżność. Testujemy za pomocą rozwiązań solitonowych.
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Monotone method to Volterra and Fredholm integral equations with deviating arguments
PublicationPraca dotyczy problemów istnienia rozwiązań równań całkowych typu Volterry i Fredholma z odchylonymi argumentami. Podano warunki dostateczne na istnienie rozwiązań w odpowiedniej klasie. Pewne nierówności całkowe typu opóźnionego są również przedmiotem badań.
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Implicit difference methods for Hamilton-Jacobi differential functional equations
PublicationKlasyczne rozwiązania problemów początkowych przybliżane są rozwiązaniami odpowiedniego układu quasiliniowego równań różniczkowo funkcyjnych. Rozpatrywana metoda numeryczna jest uwikłana względem zmiennej przestrzennej. Wykazana została zbieżność i stabilność uwikłanych schematów. Dowód stabilności opiera się na technice porównawczej z nieliniowym oszacowaniem typu Perrona dla funkcji danych.
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Numerical approximations of parabolic functional differential equations on unbounded domains
PublicationSkonstruowano schematy różnicowe zagadnień początkowych dla nieliniowych parabolicznych równań różniczkowo funkcyjnych. Przedstawiono twierdzenie o oszacowaniu błędu rozwiązań przybliżonych dla równań różnicowo funkcyjnych typu Volterry z niewiadomą funkcją kilku zmiennych. Udowodniono twierdzenie o zbieżności jawnych schematów różnicowych. Podano przykłady numeryczne.
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On intermolecular potential determination via equations of state and by acoustic data
Publication...
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Systems, Environments, and Soliton Rate Equations: Toward Realistic Modeling
PublicationIn order to solve a system of nonlinear rate equations one can try to use some soliton methods. The procedure involves three steps: (1) find a ‘Lax representation’ where all the kinetic variables are combined into a single matrix ρ, all the kinetic constants are encoded in a matrix H; (2) find a Darboux–Bäcklund dressing transformation for the Lax representation iρ˙=[H,f(ρ)], where f models a time-dependent environment; (3) find...
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On the Equations of the Surface Elasticity Model Based on the Theory of Polymeric Brushes
PublicationMotivating by theory of polymers, in particular, by the models of polymeric brushes we present here the homogenized (continual) two-dimensional (2D) model of surface elasticity. A polymeric brush consists of an system of almost aligned rigid polymeric chains. The interaction between chain links are described through Stockmayer potential, which take into account also dipole-dipole interactions. The presented 2D model can be treated...
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Certain family of analytical solutions of nonlinear von Neumann equations
PublicationIn this paper we present a slight generalization of certain type of Darboux transformation, that may be used sub-sequently in a convenient way. This method allows to obtain families of solutions of nonlinear von Neumann equations, that are used in particular in DNA modeling.
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PROPERTIES OF ONE DIMENSIONAL OPEN-CHANNEL STEADY FLOW EQUATIONS
PublicationIn this paper properties of discrete forms of one dimensional steady gradually varied flow equations are discussed. Such forms of flow equations are obtained as a result of approximation of their differential forms, which is required to solve them numerically. For such purpose explicit or implicit numerical approximation schemes for ordinary differential equations can be applied. It turns out that dependently on the chosen approximation...
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Shallow Water Equations as a Mathematical Model of Whitewater Course Hydrodynamics
PublicationPredicting the positions of local hydraulic phenomena, as well as accurately esti-mating the depth and velocity of the water flow are necessary to correctly config-ure a whitewater canoeing course. Currently, a laboratory and full 3D CFD model-ing are typically used in the design process to meet these needs. The article points to another possibility which can be useful at the preliminary stage of the design. The authors show that...
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Application of the numerical-analytic method for systems of differential equations with parameter
PublicationThe numerical-analytic method is applied to systems of differential equations with parameter under the assumption that the corresponding functions satisfy the Lipschitz conditions in matrix notation. We also obtain several existence results for problems with deviations of an argument
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Delay integro-differential equations of mixed type in Banach spaces
PublicationPraca zawiera warunki dostateczne na istnienie ekstremalnych rozwiązań problemów różniczkowo-całkowych typu opóźnionego z warunkami początkowymi. Powyższe zagadnienia rozważa się w przestrzeniach Banacha. Stosując metodę iteracji monotonicznych dowodzi się istnienie rozwiązania. Pewne nierówności różniczkowo-całkowe są też badane. Praca zawiera przykłady ilustrujące otrzymane wyniki.
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Quadratic convergence of monotone iterations to systems of differential-algebraic equations
PublicationZastosowano tu metodę dolnych i górnych rozwiązań do skonstruowania monotonicznych ciągów, które są zbieżne kwadratowo do jedynego rozwiązania układu równań różniczkowo-algebraicznych z warunkiem początkowym.
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Extensions of Quasilinearization Method for Differential Equations with Integral Boundary Conditions
PublicationPraca dotyczy równań różniczkowych z warunkami brzegowymi typu całkowego. Podano warunki dostateczne na istnienie jedynego rozwiązania takiego zagadnienia i pokazano, że odpowiednio konstruowane ciągi monotoniczne są zbieżne do tego rozwiązania i jest to zbieżność kwadratowa. Te monotoniczne ciągi są przybliżonymi rozwiązaniami problemu wyjściowego i obustronnie szacują szukane rozwiązanie.
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Initial problems for neutral functional differential equations with unbounded delay.
PublicationSformułowano układ aksjomatów dla przestrzeni fazowej . Wykazano istnienie jednoznaczności rozwiązań zagadnienia Cauchy´ego. Dowód wykorzystuje metody porównawcze z nieliniowymi oszacowaniami dla danej funkcji.
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Quadratic approximation of solutions for differential equations with nonlinear boundary conditions.
PublicationZastosowano metodę kwazilinearyzacji i sformułowano warunki dostateczne przy których iteracje monotoniczne są kwadratowo zbieżne do jedynego rozwiązania wymienionego w tytule zagadnienia różniczkowego. Uzyskane wyniki uogólniają niektóre wcześniej publikowane rezultaty gdy warunek brzegowy był liniowy.
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Ordinary differential equations with nonlinear boundary conditions of antiperiodic type.
PublicationZastosowano metodę kwazilinearyzacji do równań różniczkowych zwyczajnych z nieliniowymi warunkami brzegowymi typu antyokresowego. Podano warunki dostateczne przy których iteracje monotoniczne są zbieżne do jedynego rozwiązania naszego problemu i jest to zbieżność kwadratowa. Iteracje te są rozwiązaniami odpowiednich równań liniowych z liniowymi warunkami brzegowymi.
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Linear boundary problems for ordinary differential equations with deviated arguments
PublicationPraca dotyczy istnienia i jednoznaczności rozwiązań dla problemów brzegowych w tym również i problemów z wielopunktowymi warunkami brzegowymi.
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Numerical modelling of elasto-viscoplastic Bodner-Partom constitutive equations
PublicationArtykuł omawia wykorzystanie specjalnej procedury UVSCPL umożliwiającej wprowadzenie do komercyjnego programu MSC.Marc sprężysto-lepkoplastycznych równań modelu Bodnera-Partoma. Prezentuje szereg przykładów statycznych i dynamicznych, które potwierdzają poprawność zaproponowanej koncepcji analizy konstrukcji z wykorzystaniem rozpatrywanego prawa Bodnera-Partoma.
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Experiences with viscoplastic constitutive equations in finite element shell analysis
PublicationW pracy przedstawiono problemy zastosowania lekoplastycznych równań konstytutywnych w anlizie powłok metodą elementów skończonych. Pokazano historie rozwoju tego rodzaju modeli. Rozważono podstawowe założenia jakie muszą być zrobione.Omówiono doświadczenia konieczne do identyfikacji parametrów materiałowych modeli. Przedstawiono problemy jakie mogą wynikną w analizie numerycznej (problemy dokładności i stabilności algorytmów) Pracę...
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On the Chaplyghin method for generalized solutions of partial differential functional equations
PublicationW pracy tej rozważa się zagadnienia początkowo-brzegowe dla semiliniowych równań różniczkowo-funkcyjnych cząstkowych pierwszego rzędu. Przy naturalnych założeniach o funkcjach danych, istnieje ciąg Czapłygina i jest on zbieżny do rozwiązania w sensie Caratheodory'ego wyjściowego zagadnienia. Podane jest oszacowanie błędu rozwiązania przybliżonego. Wykazuje się, iż metoda Czapłygina dla powyższego zagadnienia jest równoważna metodzie...
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General quasilinearization method for systems of differential equations with a singular matrix
PublicationStosując metodę kwazilinearyzacji badano problem rozwiązań przybliżonych dla układów równań różniczkowych z macierzą osobliwą. Pokazano zbieżność kwadratową odpowiednich ciągów monotonicznych.
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Building engineering issues in Architectural education in Poland, in context of actual Ministry of Science and Higher Education Regulations
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Education as a Stimulating Factor for Entrepreneurship Development
PublicationThe main purpose of the paper is to present the role of entrepreneurial education for entrepreneurship development. The paper is theoretical and includes both a literature review and world reports (Global Entrepreneurship Monitor and WEF Global Education Initiative) on entrepreneurship and entrepreneurial education.
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The Education of Analytical Chemists in Polish Universities
PublicationAnalytical Chemistry plays a very important role in the modern world. The main reasons are; the need of environmental monitoring, quality of food and water control, human health, quality of industrial production control, nanotechnologies and material science. Together with Inorganic Chemistry, Organic Chemistry and Physical Chemistry, Analytical Chemistry is a fundamental chemical course. The education of Analytical Chemists is...
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PROPRIETARY SOFTWARE IN TECHNICAL HIGHER EDUCATION
PublicationThe authors present a relatively easy way to extend the quality of education in professional studies (engineering) on major “Geodesy and Cartography”. They indicate the possibility to deepen students’ knowledge by using in the educational process proprietary software enriching education. The authors use their own experiences, results of the cooperation with employers, as well as the effects of scientific research to introduce into...
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PROPRIETARY SOFTWARE IN TECHNICAL HIGHER EDUCATION
PublicationThe authors present a relatively easy way to extend the quality of education in professional studies (engineering) on major “Geodesy and Cartography”. They indicate the possibility to deepen students’ knowledge by using in the educational process proprietary software enriching education. The authors use their own experiences, results of the cooperation with employers, as well as the effects of scientific research to introduce...
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Lifelong Learning Idea in Architectural Education
PublicationThe recent advances in IT and technology are forcing changes in the approach to educating society. In the 20th century, life-long learning was understood as educating adults in order to improve their occupational qualifications. Life-long learning allows the needs of the present-day world to be addressed through providing the individual with education at every stage of his/her life various forms. The search for a new model...
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Development of planning education in postcommunist Poland.
PublicationAlthough programs in spatial planning at university level have been developed in Poland only after the transformation of 1989, their roots can be traced back to the first half of the twentieth century when the first university departments with a focus on urban and regional planning were established and courses offered. Today, planning education in Poland presents a robust yet dynamic picture with degrees offered by a range of...
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Education biases perception of social robots
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Some aspects of blended-learning education
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Internationalization and Quality Assurance in Higher Education
PublicationInternationalization is an inevitable phenomenon among all contemporary higher education institutions (HEIs) in a globalizing world. It is the driving force for development and progress. In course of the last 30 years, it became an inevitable element of HE management. However, it carries along a number of risks, pitfalls, and organizational challenges. To hedge those, quality assurance (QA) is called to the stage. HEIs therefore...
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Design of residential buildings in architecture education
PublicationThis article is based on an analysis of residential building designs made by students of the Faculty of Architecture at Gdańsk University of Technology (FA-GUT), Poland, and on the results of a survey conducted among these students. The purpose of the survey was to verify the broad, interdisciplinary knowledge of the students required in preparation for taking up design issues, as well as their ability to use this knowledge in...
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Physical models in the education of architectural history
PublicationIn this article, the authors present the long tradition and common use of physical models in the process of teaching the history of architecture in higher education institutions. The research described in the article is focused on the use of physical models and mock-ups as stimulants during architectural history classes to support lectures and increase the learning capabilities of students. The authors also cover the general use...
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Education for sustainable development in a systemic perspective
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Future Skills and Education in a Computerized World
PublicationAs computerization of Western economies has advanced, the supply of the demand for routine cognitive tasks and routine manual tasks has fallen. Computerization has increased labour input of nonroutine cognitive tasks which has favourized high educated workers. Similarly, there is clear evidence of an increase in demand for high skilled workforce which originates from poor machine performance of nonroutine...
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Sustainable monument preservation in architectural education
PublicationThe aim of this article is both to present the need for changes in architectural and conservation education in a modern, rapidly changing world, as well as to outline solutions to this problem. In the modern world, the field of objects that one intends to protect is expanding. It is necessary to adapt the architectural education to these changes. Due to the current pace of social, political...
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Development of planning education in postcommunist Poland.
PublicationAlthough programs in spatial planning at university level have been developed in Poland only after the transformation of 1989, their roots can be traced back to the first half of the twentieth century when the first university departments with a focus on urban and regional planning were established and courses offered. Today, planning education in Poland presents a robust yet dynamic picture with degrees offered by a range of both...
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Smart skills and education in a future economy
PublicationWhether the role of education is to prepare people for employment or to have meaningful lives in general, it will identify and develop skills and competencies, as well as vocational and personal attributes. Skills, such as critical thinking, novel ideation, and complex cognitive and social skills, are areas where humans continue to outperform smart machines. The purpose of this article is to review the skills and competencies that...
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Virtual reality technology in architectural education
PublicationContemporary virtual reality (VR) technology allows the recreation of non-existent architectural objects of which there may be no trace remaining. Virtual reality applications allow access to digital models, which visualise the lost architecture. The popularity of VR has resulted in it being applied not only to computer games, but also in visualising the past. Maps allow movement through historical trails and 3D models of architecture...
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Planning education, certification and deregulation in Poland
PublicationThe article describes the issues of planning education in Poland, how reforms are made, what are the main obstacles to teach spatial planners and what new skills are needed, as well as argues on the governmental plans to deregulate planning profession in Poland.
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Lean management in higher education institutions
PublicationThe 22nd QMOD-ICQSS Conference 2019 Krakow, Poland, 13-15 October 2019 Leadership and Strategies for Quality, Sustainability and Innovation in the 4th Industrial Revolution
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Methodology for hospital design in architectural education
PublicationThe architecture of a hospital should be a response to strong user requirements. Recommendations on how to shape the environment of such facilities are highly complex, integrating guidelines from many fields of science. If contradictions between them exist, the designer is required to set priorities for spatial activities. This issue is particularly important during architectural education. The learning process should include projects...
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Knowledge economics and the demand for higher education
PublicationThis article suggests that the decreased demand for higher education in Poland is partially caused due to the changes in consumer preferences. The appearance of a cheap and highly accessible form of knowledge offered by the massive open online courses is presumed here to have an effect on the demand for formal higher education. This article proposes an additional perspective to the research on knowledge consumption, especially...
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Impossible objects in geometry and graphic education
PublicationW artykule przedstawiono propozycję wprowadzenia do programu nauczania z geometrii przestrzennej i grafiki inżynierskiej obiektów niemożliwych (tworzonych między innymi przez M.C. Eschera). Celem analizy fenomenu obiektów niemożliwych w kontekście odwzorowań płaskich obiektów przestrzennych, a także percepcji przestrzeni jest wzbogacenie wyobrażni przestrzennej i kreatywności studentów.
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Standards for Quality Assurance in the European Higher Education Area versus Common Assessment Framework in education. Conflict or harmony?
PublicationThe aim of the research was to analyze the assumptions of Standards and Guidelines for Quality Assurance in the European Higher Education Area (ENQA) and the criteria of Common Assessment Framework (CAF) for the educational sector and based on that to find out the main differences and similarities (conflicts and harmony) between them. The results of the research showed that the current trends of the quality movement evolution in...
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The Study Program of "Entrepreneurship and Finance" at the University of Economics in Katowice as an Example of Practical Education in Poland’s Higher Education System
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What is the future of digital education in the higher education sector? An overview of trends with example applications at Gdańsk Tech, Poland
PublicationUniversities worldwide recognise the need to adapt to changes in society, the economy and the way young people prefer to learn. Additionally, the impetus to improve the digital approach in higher education intensifies as educational institutions have to remain competitive with commercial providers of education. Following the latest technological trends and implementing strategies to develop new digital solutions helps to improve...
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Methods of solving the Atkins equation determine shear angle with taking into consideration a modern fracture mechanics
PublicationIn the paper are presented methods of solving nonlinear Atkins equation . The Atkins equation describe shear angle with taking into account properties of material cutting. To solve Atkins equation has been used iterative methods: Newton method and simplified method of simple iteration. Method of simple iteration is presented in the form of Java application.
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Impact of the Finite Element Mesh Structure on the Solution Accuracy of a Two-Dimensional Kinematic Wave Equation
PublicationThe paper presents the influence of the finite element mesh structure on the accuracy of the numerical solution of a two-dimensional linear kinematic wave equation. This equation was solved using a two-level scheme for time integration and a modified finite element method with triangular elements for space discretization. The accuracy analysis of the applied scheme was performed using a modified equation method for three different...