Search
Filters
total: 3411
-
Catalog
- Publications 2160 available results
- Journals 796 available results
- Conferences 34 available results
- Publishing Houses 1 available results
- People 174 available results
- Projects 15 available results
- Laboratories 1 available results
- Research Equipment 1 available results
- e-Learning Courses 44 available results
- Events 14 available results
- Open Research Data 171 available results
displaying 1000 best results Help
Search results for: PRESTON EQUATION
-
Boundary vlue problems for difference equations with causal operators
PublicationPraca dotyczy problemów brzegowych dla równań różnicowych.Podano warunki dostateczne na istnienie ekstremalnych rozwiązań stosując metodę iteracji monotonicznych.
-
Antiperiodic boundary value problems for functional differential equations
PublicationRównania różniczkowo funkcyjne z antyokresowymi warunkami brzegowymi są przedmiotem rozważań tej pracy. Podane zostały warunki dostateczne na istnienie jedynego rozwiązania, które jest granicą dwóch monotonicznych ciągów. Szybkość tej zbieżności jest również określona. Metoda dowodzenia oparta jest na metodzie kwasilinearyzacji. Otrzymano również pewne wyniki dotyczące problemów liniowych.
-
Dressing chain equations associated with difference soliton systems
PublicationAnalogicznie do teorii równań różniczkowych solitonowych, wprowadzamy proce-durę ubierania pary Laxa. Stosujemy metodę dla budowy nowych rozwiązań napodstawie znanych. Wprowadza się uogólnione wielomiany Bella. Tworzy sięschemat dla ogólnych par Laxa w postaci wielomianów od pewnego automorfizmupierscieni. Podany został przykład równań Hiroty i Nahma.
-
Nonlocal problems for functional partial differential equations of firstorder
PublicationRozważa się istnienie uogólnionych rozwiązań nielokalnych problemów dla quasiliniowych i nieliniowych równań różniczkowo-funkcyjnych cząstkowych pierwszego rzędu. Dowody twierdzeń bazują na metodzie bicharakterystyk i metodzie kolejnych przybliżeń.
-
Periodic boundary value problems for functional differential equations
PublicationPrzedmiotem badań były równania różniczkowo-funkcyjne dość ogólnej postaci z warunkami brzegowymi typu okresowego. Podano warunki dostateczne na istnienie jedynego rozwiązania (zerowego) odpowiedniego zagadnienia liniowego z okresowymi warunkami brzegowymi. Te wyniki zostały wykorzystane aby pokazać, że odpowiednio skonstruowane ciągi monotoniczne są jednostajnie zbieżne do jedynego, w pewnym segmencie, rozwiązania zagadnienia...
-
Quasilinearization methods for nonlinear parabolic equations with functional dependence
PublicationRozważamy problem Cauchy`ego dla nieliniowych równań parabolicznych z zależnością funkcyjną. Dowodzimy twierdzeń o szybkiej zbieżności ciągów kolejnych przybliżeń określonych w metodzie quasilinearyzacji w dwóch przypadkach: (i) argumentem funkcyjnym jest funkcja niewiadoma, (ii) zależność funkcyjna dotyczy również pochodnej funkcji niewiadomej.
-
Boundary value problems for systems of functional differential equations
PublicationPraca dotyczy przybliżonych rozwiązań zagadnienia brzegowego dla funkcyjnych równań różniczkowych 2-go rzędu. Podano numeryczne algorytmy na wyznaczenie tego rozwiązania i warunki dostateczne, przy których metoda jest zgodna i zbieżna. Podano też konstrukcję metody dowolnego rzędu.
-
Numerical conditioning of delta-domain Lyapunov and Riccati equations
PublicationW pracy rozważono problem uwarunkowania dyskretno czasowych równań Lapunowa oraz równań Riccatiego - to znaczy problem wrażliwości rozwiązań takich równań na odchyłki ich parametrów od nominalnych wartości. Zdefiniowano odpowiedni "różniczkowy" wskaźnik uwarunkowania oraz podano efektywną metodę szacowania jego wartości. Udowodniono teoretycznie - a także przekonująco zilustrowano na drodze numerycznej - twierdzenie głoszące, iż...
-
Quadrtic convergence of monotone iterations of differential-algebraic equations
PublicationZastosowano tu metodę quazilinearyzacji do równań różniczkowo-algebraicznych z warunkiem początkowym. Pokazano, że odpowiednie iteracje monotoniczne są zbieżne do jedynego rozwiązania.
-
Existence of solutions of differential equations with nonlinearmultipoint boundary conditions.
PublicationSformułowano warunki dostateczne na istnienie rozwiązań (jedynego lubekstremalnych) dla równań różniczkowych z warunkami jak wyżej przyzastosowaniu metody iteracji monotonicznych. O prawej stronie zagadnienia i nieliniowym warunku brzegowym zakładano między innymi, że spełniają jednostronny warunek Lipschitza.
-
Coupled nonlinear Schrödinger equations in optic fibers theory
PublicationIn this paper a detailed derivation and numerical solutions of CoupledNonlinear Schr¨odinger Equations for pulses of polarized electromagnetic wavesin cylindrical fibers has been reviewed. Our recent work has been compared withsome previous ones and the advantage of our new approach over other methods hasbeen assessed. The novelty of our approach lies is an attempt to proceed withoutloss of information within the frame of basic...
-
Balance errors in numerical solutions of shallow water equations
PublicationThe analysis of the conservative properties of the shallow water equations is presented in the paper. The work focuses on the consistency of numerical solution of these equations with the conservation laws of mass and momentum. The investigations involve two different conservative forms which are solved by an implicit box scheme. The theoretical analysis supported by numerical experiments is carried out for rectangular channel...
-
FURTHER REMARKS ON THE NEO-CLASSICAL NAVIER-STOKES EQUATIONS
PublicationThe seminal Navier-Stokes equations have been stated yet before creation of principles of thermodynamics and the first and second laws. In the literature there is the common opinion that the Navier-Stokes equations cannot be taken as a thermodynamically correct model of “working fluid” which is able to describe transformation of “ heat” into “work” and vice versa. Therefore, in the paper, a new exposition of thermodynamically...
-
First-order differential equations with nonlocal boundary conditions
PublicationWe study a first-order boundary value problem subject to some boundary conditions given by Riemann-Stieltjes integrals. Using a monotone iterative method, we formulate sufficient conditions which guarantee the existence of extremal or quasi-solutions in the corresponding region bounded by upper and lower solutions of our problems. The case when a unique solution exists is also investigated. Some examples are given to illustrate...
-
Systems of boundary value problems of advanced differential equations
PublicationThis paper considers the existence of extremal solutions to systems of advanced differential equations with corresponding nonlinear boundary conditions. The monotone iterative method is applied to obtain the existence results. An example is provided for illustration.
-
Fundamental properties of solutions to fractional-order Maxwell's equations
PublicationIn this paper, fundamental properties of solutions to fractional-order (FO) Maxwell's equations are analysed. As a starting point, FO Maxwell's equations are introduced in both time and frequency domains. Then, we introduce and prove the fundamental properties of electromagnetic field in FO electromagnetics, i.e. energy conservation, uniqueness of solutions, and reciprocity. Furthermore, the algorithm of the plane wave simulation...
-
Method of lines for Hamilton-Jacobi functional differential equations.
PublicationInitial boundary value problems for nonlinear first order partial functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations. A method of quasi linearization is adopted. Suffcient conditions for the convergence of the method of lines and error estimates for approximate solutions are presented. The proof of the stability of the diffrential difference...
-
Inverse Flood Routing Using Simplified Flow Equations
PublicationThe paper considers the problem of inverse flood routing in reservoir operation strategy. The aim of the work is to investigate the possibility of determining the hydrograph at the upstream end based on the hydrograph required at the downstream end using simplified open channel flow models. To accomplish this, the linear kinematic wave equation, the diffusive wave equation and the linear Muskingum equation are considered. To achieve...
-
Existence of unbounded solutions to parabolic equations with functional dependence
PublicationThe Cauchy problem for nonlinear parabolic differential-functional equations is considered. Under natural generalized Lipschitz-type conditions with weights, the existence and uniqueness of unbounded solutions is obtained in three main cases: (i) the functional dependence u(·); (ii) the functional dependence u(·) and ∂xu(·); (iii) the functional dependence u(·)and the pointwise dependence ∂xu(t,x).
-
The role of education in the globalised society
PublicationArtykuł obejmuje problematykę roli jaką ma do odegrania edukacja w zglobalizowaym świecie. Opisano w nim wpływ edukacji na kształtowanie społeczeństwa obywatelskiego. Artykuł stanowi rozdział publikacji pn. Kształcenie ustawiczne w rozwoju społeczeństwa obywatelskiego, w całości odnoszącej się do zagadnienia znaczenia edukacji ustawicznej dla kształtowania procesów społecznych.
-
e-Learning in Tourism Education
Publication -
The Book of Trends in Education 2.0
Publication -
Jubilees of the engineering education in Gdańsk
Publicationz perspektywy obecnej Politechniki Gdańskiej i nawiązując do jej niemieckiej poprzedniczki ukazano 100 lat uniwersyteckiej technicznej edukacji i nauki w Gdańsku z podkreśleniem tła niemiecko-polskich stosunków właściwych dla tego miejsca.
-
Modernity and postmodernity in architectural education
PublicationThe purpose of this article is to present a philosophical education strategy for architecture and interior architecture faculties. The approach is the result of trial and error in lectures and debates with students of philosophical courses in these fields. The presented article is not a result of empirical research, but rather a report on the problems encountered and proposals for their solution. The experience gained from conducting...
-
Aerodynamics in the education of prospective architects
PublicationThe inclusion of issues of aerodynamics in the education of architecture students is discussed in this article. The field of aerodynamics knowledg of the nature of wind phenomena around building developments. It is especially important to know how to influence the occurrence of such phenomena by means of shaping buildings through architectural and urban design. The method applied for working with Master’s degree students in...
-
Parametric design in architectural education
PublicationEducators dealing with architectural education must anticipate the changes in the discipline and act to prepare students to face the challenges of the future. Therefore, it is necessary to provide them with state-of-the-art knowledge and relevant skills. To achieve that for new design techniques requires education. One new technique is parametric design, which has become one of the commonly used tools in architectural design practice....
-
The landscape in the informal education of the youngest
PublicationThe European Landscape Convention, adopted in 2000, aims to promote the protection, management and planning of landscapes and to organise cooperation on landscape-related issues. Countries that ratified the Convention undertook to introduce activities that would promote public education on the subject. In Poland, the Ministry of Education has identified schools as the place to implement...
-
Levels of creativity in architectural education
PublicationArchitectural design combines engineering science and art, thus stimulating creativity is a challenge in the didactic process. There are various levels of creativity that can be attained through architectural education. From idea to architecture (FITA) is a teaching method based on metaphorical and analogical reasoning that was developed, implemented and tested during architectural design classes in the Faculty of Architecture...
-
Entrepreneurial Education and Attitude among Young Generations in a Gender perspective: the Case of Polish Education System
PublicationThis article is an attempt to analyze the impact of entrepreneurship education on entrepreneurial attitudes and intentions of young people: male and female students of Polish high schools and universities. The author makes an effort to verify the impact of the exposure to the business education and entrepreneurs on the decision to start-up. Special emphasis will be placed on the gender differences when discussing a respective factors’...
-
Database of the illustrative simulations of the nonstandard approximation of the generalized Burgers–Huxley equation
Open Research DataThe presented dataset is a result of numerical analysis of a generalized Burgers–Huxley partial differential equation. An analyzed diffusive partial differential equation consist with nonlinear advection and reaction. The reaction term is a generalized form of the reaction law of the Hodgkin–Huxley model, while the advection is a generalized form of...
-
Asymptotic numerical solver for the linear Klein–Gordon equation with space- and time-dependent mass
Publication -
Local properties of the solution set of the operator equation in Banach spaces in a neighbourhood of a bifurcation point.
PublicationW niniejszej pracy badamy problem istnienia bifurkacji w zbiorze rozwiązań równania F(x,p)=0, gdzie F jest odwzorowaniem klasy C^2z iloczynu kartezjańskiego X i R^k do Y, X i Y są przestrzeniami Banacha takimi, że X jest podprzestrzenią liniową Y. Co więcej, dany jest iloczyn skalarny w Y, ciągły względem norm w X i Y. Pokazujemy, że pod pewnymi warunkami (0,p) jest punktem bifurkacji i opisujemyzbiór rozwiązań równania F(x,p)=0...
-
On the convergence of a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation
PublicationIn this note, we establish the property of convergence for a finite-difference discretization of a diffusive partial differential equation with generalized Burgers convective law and generalized Hodgkin–Huxley reaction. The numerical method was previously investigated in the literature and, amongst other features of interest, it is a fast and nonlinear technique that is capable of preserving positivity, boundedness and monotonicity....
-
Simulating propagation of coherent light in random media using the Fredholm type integral equation
PublicationStudying propagation of light in random scattering materials is important for both basic and applied research. Such studies often require usage of numerical method for simulating behavior of light beams in random media. However, if such simulations require consideration of coherence properties of light, they may become a complex numerical problems. There are well established methods for simulating multiple scattering of light (e.g....
-
Application of the Monte Carlo algorithm for solving volume integral equation in light scattering simulations
PublicationVarious numerical methods were proposed for analysis of the light scattering phenomenon. Important group of these methods is based on solving the volume integral equation describing the light scattering process. The popular method from this group is the discrete dipole approximation (DDA). DDA uses various numerical algorithms to solve the discretized integral equation. In the recent years, the application of the Monte Carlo (MC)...
-
Computationally Effcient Solution of a 2D Diffusive Wave Equation Used for Flood Inundation Problems
PublicationThis paper presents a study dealing with increasing the computational efficiency in modeling floodplain inundation using a two-dimensional diffusive wave equation. To this end, the domain decomposition technique was used. The resulting one-dimensional diffusion equations were approximated in space with the modified finite element scheme, whereas time integration was carried out using the implicit two-level scheme. The proposed...
-
Modelling of FloodWave Propagation with Wet-dry Front by One-dimensional Diffusive Wave Equation
PublicationA full dynamic model in the form of the shallow water equations (SWE) is often useful for reproducing the unsteady flow in open channels, as well as over a floodplain. However, most of the numerical algorithms applied to the solution of the SWE fail when flood wave propagation over an initially dry area is simulated. The main problems are related to the very small or negative values of water depths occurring in the vicinity of...
-
The application of Monod equation to denitrification kinetics description in the moving bed biofilm reactor (MBBR)
PublicationIn this paper, the kinetic constants Vmax and KCOD occurring in the Monod equation, which describe the denitrification process in the moving bed, are determined. For this purpose, a laboratory moving bed biofilm reactor (MBBR) was used. The filling of the reactor consisted of EvU Perl carriers. The experiment was carried out with an excess of nitrate, and denitrification rate was dependent on the concentration of external organic...
-
Determination of dryout localization using a five-equation model of annular flow for boiling in minichannels
PublicationDetailed studies have suggested that the critical heat flux in the form of dryout in minichannels occurs when the combined effects of entrainment, deposition, and evaporation of the film make the film flow rate go gradually and smoothly to zero. Most approaches so far used the mass balance equation for the liquid film with appropriate formulations for the rate of deposition and entrainment respectively. It must be acknowledged...
-
Indium doping in SrCeO3 proton-conducting perovskites
Publication -
Detection of person presence and its activity in the bathtub
PublicationA practical application of a bioimpedance technique for a detection of a bathing person is presented in the paper. It addresses the possibility of supervising people in the bathtub without voiding of their intimacy. The measurement system installed in a fiber-glass or a plastic bathtub is able to detect a presence of the bathing person, to estimate its activity and thus to detect potentially dangerous events. In the paper a principle...
-
Outline of marine piston engines' technology development.
PublicationW referacie przedstawiono najistotniejsze wydarzenia mające wpływ na produkcję i rozwój silników o zapłonie samoczynnym. Zasygnalizowano najistotniejsze osiągnięcia w rozwoju tych silników i podano nazwy firm, w których one zostały zastosowane. Podano także najważniejsze fakty związane z produkcją silników w Polsce.
-
Axial piston pumps with camdriven commutation unit
PublicationPrzedstawiono wyniki badań prototypów pomp wielotłoczkowych osiowych wyposażonych w rozrząd krzywkowy oraz ich porównanie z rezultatami osiąganymi przez produkowane obecnie jednostki z rozrządem czołowym. Podano dane techniczne pomp nowego typu wchodzących do produkcji.
-
The notion of ''the person'' in A-T. Tymieniecka's anthropological thought
PublicationW artykule, pt. "The Notion of "Humanity" in Anna-Teresa Tymieniecka's Anthropological Thought"("Pojęcie "człowieczeństwa" w Anny - Teresy Tymienieckiej antropologicznej myśli") przedstawiłem pojęcia "człowieczeństwa" w myśli antropologicznej filozofki. Usiłowałem pokazać, że Tymieniecka podnosi "człowieczeństwo" ludzkiego bytu na "wyższy" poziom. Następnie wskazałem, że filozofka pojmuje "człowieczeństwo" w obrębie...
-
The Sense of Security of the Prison Service Offi cers
Publication -
Respiratory signal of bathing person - preliminary study
PublicationThe scope of this paper is analysis of applicability of modern biomedical acquisition system installed in bathtub towards reception of respiratory signals of bathing person. An analysis of the possibility of such measurement is shown as well as preliminary results.
-
Proton transfer reactions for ionized water clusters
PublicationCalculations of formation energies of the ionized water clusters and energies of reactions between small (including less than eight water molecules) neutral and positively ionized water clusters are presented. Moreover, we discuss some reaction paths between neutral and positively charged dimers, trimers and tetramers and proton transfer reactions (PTR) between cyclic clusters and H3O+ ions which can appear in beam experiments...
-
The difficult heritage. The reuse of former prison buildings
PublicationIn recent years, there has been a trend to reuse abandoned buildings. Adaptive re-use allows preservation of the original structure and implements a new function to it. Such activity could help to preserve the historic value of buildings; moreover, many other advantages can be found in educational, ecological and economic fields. However, the question arises of whether every object can be freely adapted. This article examines the...
-
Computer Assisted Proof of the Existence of a Periodic Orbit in the Rössler Equations
Publication -
A COMPUTATIONAL ALGORITHM FOR THE NUMERICAL SOLUTION OF NONLINEAR FRACTIONAL INTEGRAL EQUATIONS
Publication