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Wyszukujesz frazę "approximation of" wg kryterium: Temat


Tytuł:
On the numerical approximation of first-order Hamilton-Jacobi equations
Autorzy:
Abgrall, R.
Perrier, V.
Powiązania:
https://bibliotekanauki.pl/articles/929712.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
równanie Hamiltona-Jacobiego
aproksymacja
zagadnienie Cauchy'ego-Dirichleta
siatka trójkątna
approximation of Hamilton-Jacobi equations
viscous solution
Cauchy-Dirichlet problem
triangular mesh
Opis:
Some methods for the numerical approximation of time-dependent and steady first-order Hamilton-Jacobi equations are reviewed. Most of the discussion focuses on conformal triangular-type meshes, but we show how to extend this to the most general meshes. We review some first-order monotone schemes and also high-order ones specially dedicated to steady problems.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 3; 403-412
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical Modeling and Numerical Analysis of Nonstationary Plane-Parallel Flows of Viscous Incompressible Fluid by R-Functions and Galerkin Method
Autorzy:
Artyukh, A.
Sidorov, M.
Powiązania:
https://bibliotekanauki.pl/articles/411247.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
nonstationary flow
incompressible fluid
stream function
method of successive approximation
R-functions method
Galerkin method
Opis:
This paper is dedicated to nonstationary plane-parallel flows of viscous incompressible fluid in finite simply connected domains. Theorem of the solution uniqueness is presented. The method of successive approximation, the Galerkin method and the R-functions method are used to obtain the numerical solution, which was tested on the problem with known solution.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2014, 3, 3; 3-11
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Degenerate evolution problems and Beta-type operators
Autorzy:
Attalienti, Antonio
Campiti, Michele
Powiązania:
https://bibliotekanauki.pl/articles/1206074.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
approximation process
$C_0$-semigroups of contractions
Beta-type operators
differential operators
Opis:
The present paper is concerned with the study of the differential operator Au(x):=α(x)u''(x)+β(x)u'(x) in the space C([0,1)] and of its adjoint Bv(x):=((αv)'(x)-β(x)v(x))' in the space $L^1(0,1)$, where α(x):=x(1-x)/2 (0≤x≤1). A careful analysis of their main properties is carried out in view of some generation results available in [6, 12, 20] and [25]. In addition, we introduce and study two different kinds of Beta-type operators as a generalization of similar operators defined in [18]. Among the corresponding approximation results, we show how they can be used in order to represent explicitly the solutions of the Cauchy problems associated with the operators A and Ã, where à is equal to B up to a suitable bounded additive perturbation.
Źródło:
Studia Mathematica; 2000, 140, 2; 117-139
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Motion of a Bead Sliding on a Wire in Fractional Sense
Autorzy:
Baleanu, D.
Jajarmi, A.
Asad, J.
Błaszczyk, T.
Powiązania:
https://bibliotekanauki.pl/articles/1032352.pdf
Data publikacji:
2017-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
motion of a bead on a wire
Euler-Lagrange equation
fractional derivative
Grünwald-Letnikov approximation
Opis:
In this study, we consider the motion of a bead sliding on a wire which is bent into a parabola form. We first introduce the classical Lagrangian from the system model under consideration and obtain the classical Euler-Lagrange equation of motion. As the second step, we generalize the classical Lagrangian to the fractional form and derive the fractional Euler-Lagrange equation in terms of the Caputo fractional derivatives. Finally, we provide numerical solution of the latter equation for some fractional orders and initial conditions. The method we used is based on a discretization scheme using a Grünwald-Letnikov approximation for the fractional derivatives. Numerical simulations verify that the proposed approach is efficient and easy to implement.
Źródło:
Acta Physica Polonica A; 2017, 131, 6; 1561-1564
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling of load-displacement curves obtained from scaffold components tests
Autorzy:
Błazik-Borowa, E.
Szer, J.
Borowa, A.
Robak, A.
Pieńko, M.
Powiązania:
https://bibliotekanauki.pl/articles/947713.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
scaffolds
correlation functions
approximation of measurement results
elasticity
rusztowania
funkcje korelacyjne
aproksymacja wyników pomiarów
elastyczność
Opis:
The paper presents the modelling measurement results of the load-displacement relation for scaffold stands and bracings. In the case of stands, there are two sections of curves, i.e. a straight-line and curvilinear section, and in the case of bracings, two straight line sections as well as one curvilinear section are distinguished. As a result of analyses, it is concluded that the sections which can be approximated by means of linear functions should be distinguished in graphs, if possible. On the one hand, this results from the evaluation methods of scaffold components. Nevertheless, the determination of elastic-linear scope of components’ operation is useful in engineering practice during computer calculations. Moreover, the method of determining an intersection point between functions, approximating tests results, along with analysis of the impact of polynomial degree, approximating the research results, on the time and effectiveness of the process of approximating functions selection, are all demonstrated in this article. The proposed method can prove useful in all science fields where curves obtained from any research (laboratory test, in situ test, numerical analysis) require approximation or replacement with a simpler description.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 2; 317-327
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis of steel compression members under shock loads
Analiza stateczności prętów stalowych poddanych działaniu obciążenia uderzeniowego
Autorzy:
Brzuzy, A.
Bąk, G.
Powiązania:
https://bibliotekanauki.pl/articles/210650.pdf
Data publikacji:
2018
Wydawca:
Wojskowa Akademia Techniczna im. Jarosława Dąbrowskiego
Tematy:
steel rods with pre-deformation of axis
elastic-plastic behaviour
dynamic stability of rods
differential approximation
effects of axial wave response
pręty ze wstępną deformacją osi
reakcja sprężysto-plastyczna
stateczność dynamiczna pręta
aproksymacja różnicowa
efekty falowości poosiowej
Opis:
This paper presents the results of a numerical analysis of the elastic-plastic behaviour of steel compression members subjected to compression with a permanent pre-deformation in the longitudinal axis by a longitudinal indispensable shock load. A differential load intensity was considered up to the loss of stability. A finite difference method was applied, with an explicit integration schema for the time of the dynamic stability equations. It was assumed that the precursor to the unstable behaviour of a steel compression member was a continuous deformation of the rod axis, which was defined according to current industry-standard design procedures. Cases of flexible and stiff rods, varying in slenderness, were considered. It was demonstrated that a significant load on the performance of the steel compression members and their buckling mechanisms is attributable to longitudinal wave effects. These longitudinal wave effects cause high-frequency changes in the axial forces with a significant stress concentration due to the effect of reflection from a pinned support. This is critical for the dissipation of internal energy by plastic deformation. The applied research method facilitated an estimation of the dynamic critical forces and their relationships with static values.
W artykule przedstawiono wyniki analizy numerycznej reakcji sprężysto-plastycznej prętów ściskanych ze wstępną deformacją trwałą ich osi podłużnych pod działaniem wzdłużnego, nieusuwalnego obciążenia uderzeniowego. Rozpatrzono zróżnicowaną intensywność obciążenia do wywołania utraty stateczności włącznie. Wykorzystano metodę różnic skończonych z jawnym schematem całkowania względem czasu równań dynamicznej równowagi. Przyjęto, że czynnikiem niestabilne zachowanie pręta jest ciągła deformacja osi pręta ujmowana zgodnie z aktualnymi procedurami projektowymi. Analizie poddano pręty o zróżnicowanej smukłości, kwalifikowanych, jako wiotkie i krępe. Wykazano, że bardzo duży wpływ na wytężenie prętów i mechanizmy wyboczenia mają efekty falowe wzdłużne. Powodują one szybkozmienne zmiany wartości sił poosiowych oraz istotną koncentrację naprężeń na skutek zjawisk odbicia od nieprzesuwnej podpory. Decyduje to o dyssypacji energii wewnętrznej na odkształceniach plastycznych. Zastosowana metoda rozwiązania umożliwiła oszacowanie wartości dynamicznych sił krytycznych i ich relacji do wartości statycznych.
Źródło:
Biuletyn Wojskowej Akademii Technicznej; 2018, 67, 1; 107-125
1234-5865
Pojawia się w:
Biuletyn Wojskowej Akademii Technicznej
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Prediction of the main engine power of a new container ship at the preliminary design stage
Prognozowanie mocy napędu głównego nowego kontenerowca na wstępnym etapie prognozowania
Autorzy:
Cepowski, T.
Powiązania:
https://bibliotekanauki.pl/articles/409685.pdf
Data publikacji:
2017
Wydawca:
STE GROUP
Tematy:
container ship
design parameters
preliminary design stage
power
main engine power
length between perpendiculars
number of containers
TEU capacity
design
simple regression
multiple regression
approximation
kontenerowce
parametry projektowe
wstępny etap projektowania
moc
moc napędu głównego
długość pomiędzy pionami
liczba kontenerów
projektowanie
regresja liniowa
aproksymacja
Opis:
The paper presents mathematical relationships that allow us to forecast the estimated main engine power of new container ships, based on data concerning vessels built in 2005-2015. The presented approximations allow us to estimate the engine power based on the length between perpendiculars and the number of containers the ship will carry. The approximations were developed using simple linear regression and multivariate linear regression analysis. The presented relations have practical application for estimation of container ship engine power needed in preliminary parametric design of the ship. It follows from the above that the use of multiple linear regression to predict the main engine power of a container ship brings more accurate solutions than simple linear regression.
W publikacji przedstawiono matematyczne zależności pozwalające na prognozowanie szacunkowej mocy napędu nowo budowanych kontenerowców w latach 2005-2015. Przedstawione aproksymacje pozwalają na oszacowanie mocy napędu w oparciu o długość między pionami i liczbę kontenerów. Aproksymacje zostały opracowane przy wykorzystaniu regresji liniowej jednej i wielu zmiennych. Przedstawione zależności mają praktyczne zastosowanie do szacowania mocy napędu kontenerowca dla potrzeb wstępnego parametrycznego projektowania statku. Z badań wynika, że zastosowanie regresji wielu zmiennych daje dokładniejsze rozwiązania niż zastosowanie regresji jednej zmiennej.
Źródło:
Management Systems in Production Engineering; 2017, 2 (25); 97-99
2299-0461
Pojawia się w:
Management Systems in Production Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Projecting sale prices of new container ships built in 2005–2015 based on DWT and TEU capacities
Autorzy:
Cepowski, T.
Powiązania:
https://bibliotekanauki.pl/articles/135030.pdf
Data publikacji:
2016
Wydawca:
Akademia Morska w Szczecinie. Wydawnictwo AMSz
Tematy:
container ship
sale price
cost estimation
DWT capacity
number of containers
TEU capacity
design
artificial neural networks
linear regression
approximation
Opis:
This paper presents mathematical relationships that allow forecast of the estimated sale price of new container ships, based on data concerning vessels built in 2005–2015. The presented approximations allow estimation of the price based on deadweight capacity (DWT) or the number of containers the ship will carry (TEU). The approximations were developed using linear regression and the theory of artificial neural networks. The presented relations have practical relevance in the estimation of container ship sale price needed in transport studies or preliminary parametric design of the ship. It follows from the above that the use of artificial neural networks to predict the price of a container ship brings more accurate solutions than linear regressions.
Źródło:
Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2016, 48 (120); 171-175
1733-8670
2392-0378
Pojawia się w:
Zeszyty Naukowe Akademii Morskiej w Szczecinie
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The limit properties diffusion process in a semi-Markov environment
Autorzy:
Chabanyuk, Y.
Rosa, W.
Powiązania:
https://bibliotekanauki.pl/articles/122295.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
stochastic approximation procedure
compensating operator
asymptotic normality of the stochastic procedure
small parameter
martingale characterization
Markov processes
semi-Markov processes
aproksymacja stochastyczna
procedura stochastyczna
proces Markova
proces semi-Markova
stochastyczny proces dyfuzji
Opis:
In this paper we consider the stochastic diffusion process with semi-Markov switchings in an averaging scheme. We present results and conditions on convergence to the classic diffusion process, in case with semi-Markov process perturbation is uniformly ergodic. We used small parameter scheme to get the main result.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 1; 5-14
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Use of extrapolation to forecast the working capital in the mechanical engineering companies
Autorzy:
Cherep, A.
Shvets, Y.
Powiązania:
https://bibliotekanauki.pl/articles/410795.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
method of extrapolation
trend
coefficient of linear correlation
mean approximation error
Opis:
The purpose of the article is to study the method of extrapolation, highlighting the effectiveness of the financial activity of JSC «ZAZ» and for its future development. In the process of analyzing and exploring the scientific work of many scientists, effectiveness of using the extrapolation method for predicting performance was determined. As a result of research in the article analyzes the financial position of the enterprises of mechanical engineering in modern conditions, the efficiency of working capital in recent years determined. The feasibility of using the method of extrapolation in terms of instability of the market economy was investigated and proved. The forecast of working capital and total sales was made. It is offered to use in research the linear correlation coefficient of the pair, the method of least deviation, t – Student's criterion. Data obtained on the basis of the forecast enables businesses to improve their performance, to compete at a high level with other entities to establish a system of sales, to avoid crises in the future, increase profits and develop programs to reduce costs. Prospects for further research in this area will improve and develop an integrated system of economic methods on prediction performance of engineering enterprises based on current market position and variability of the environment.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2014, 3, 1; 23-28
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Order of approximation for nonlinear sampling Kantorovich operators in Orlicz spaces
Autorzy:
Costarelli, Danilo
Vinti, Gianluca
Powiązania:
https://bibliotekanauki.pl/articles/745018.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Nonlinear sampling Kantorovich operators, Orlicz spaces, order of approximation, Lipschitz classes, irregular sampling
Opis:
In this paper, we study the rate of approximation for the nonlinear sampling Kantorovich operators. We consider the case of uniformly continuous and bounded functions belonging to Lipschitz classes of the Zygmund-type, as well as the case of functions in Orlicz spaces. We estimate the aliasing errors with respect to the uniform norm and to the modular functional of the Orlicz spaces, respectively. The general setting of Orlicz spaces allows to deduce directly the results concerning the rate of convergence in \(L^p\)-spaces, \(1 \miu p\) < \(\infty\), very useful in the applications to Signal Processing. Others examples of Orlicz spaces as interpolation spaces and exponential spaces are discussed and the particular cases of the nonlinear sampling Kantorovich series constructed using Fej\'er and B-spline kernels are also considered.
Źródło:
Commentationes Mathematicae; 2013, 53, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uncertainty of the characteristics of electrical devices based on the measurements of time-current characteristics of MV fuses
Autorzy:
Daszczyński, T.
Pochanke, Z.
Kolimas, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/200192.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
time-current characteristic
MV fuse
approximation of measurement results
fuse element
statistics
Opis:
Functional properties of some electrical devices are expressed in the form of a dependence between parameters defining a given aspect of device duty or work circumstance (e.g. breakdown voltage): contacts distance for a circuit breaker, current (voltage for voltage limiters or reaction time), and load current for over current protection. Such characteristics are obtained experimentally, usually in a set of test series, each performed with a fixed independent parameter. Results of each series generate sets of data for estimation of statistical properties of a dependent parameter: distribution, expected value, variance and confidence interval. These statistics concern one point of the tested characteristic, so to get data of it as a whole, that would satisfy the needs for designing an electrical system, a large number of tests can be necessary. The way to reduce the number of tests may consists in: defining the characteristic not as a series of points, but as an analytical function with some specific parameters. This can be combined with aggregation of results of all tests in one set of data for estimation of statistical properties of the mantioned parameter. This paper presents an application of the above approach to tests of time-current characteristics of fuses.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 4; 751-757
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of diagnostic utility of instantaneous angular speed fluctuation of diesel engine crankshaft
Autorzy:
Dereszewski, M.
Charchalis, A.
Polanowski, S.
Powiązania:
https://bibliotekanauki.pl/articles/244646.pdf
Data publikacji:
2011
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
two-stroke diesel engine diagnostics
diagnostics of combustion process
angular speed variation
angular acceleration
moving approximation
Opis:
Frequent crew rotation, a shorthand, and various levels of technical crew skills, are the facts with the ship-owners has to cope very often. Having the proper level of engine exploitation as a main objective is necessary to implement a constant engine monitoring system, in order to obtain quick and reliable diagnostic information. One cannot omit the financial aspect of monitoring system implementation, created by its price and costs of service. In this paper, the analysis of diagnostic utility of the signal deriving from a propulsion shaft fluctuation during its one revolution is presented. The angular speed of the shaft was measured using a laser sensor of torque meter ETNP-10. Diagnostic utility validation has been verified on a basis of combustion quality, in cylinders of two-stroke, turbocharged Marine Diesel Engine. Test was carried out on board of a container vessel during its sea passage. In order to evaluate the effectiveness of the method, the crew simulated engine’s malfunction by fuel injection cut-off in various cylinders (only one in the same time).The interference signals decomposition was carried out using the method of synchronous averaging and moving approximation with polynomial of 3rd exponent.
Źródło:
Journal of KONES; 2011, 18, 1; 123-128
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytic and $C^k$ approximations of norms in separable Banach spaces
Autorzy:
Deville, Robert
Fonf, Vladimir
Hájek, Petr
Powiązania:
https://bibliotekanauki.pl/articles/1287379.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
analytic norm
approximation
convex function
geometry of Banach spaces
Opis:
We prove that in separable Hilbert spaces, in $ℓ_{p}(ℕ)$ for p an even integer, and in $L_{p}[0,1]$ for p an even integer, every equivalent norm can be approximated uniformly on bounded sets by analytic norms. In $ℓ_{p}(ℕ)$ and in $L_{p}[0,1]$ for p ∉ ℕ (resp. for p an odd integer), every equivalent norm can be approximated uniformly on bounded sets by $C^[p]}$-smooth norms (resp. by $C^{p-1}$-smooth norms).
Źródło:
Studia Mathematica; 1996, 120, 1; 61-74
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal approximation, simulation and analog realization of the fundamental fractional order transfer function
Autorzy:
Djouambi, A.
Charef, A.
Besançon, A. V.
Powiązania:
https://bibliotekanauki.pl/articles/929796.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system ułamkowy
aproksymacja
funkcja przenoszenia
fractional systems
approximation
simulation and distribution of the relaxation times function
Opis:
This paper provides an optimal approximation of the fundamental linear fractional order transfer function using a distribution of the relaxation time function. Simple methods, useful in systems and control theories, which can be used to approximate the irrational transfer function of a class of fractional systems for a given frequency band by a rational function are presented. The optimal parameters of the approximated model are obtained by minimizing simultaneously the gain and the phase error between the irrational transfer function and its rational approximation. A simple analog circuit which can serve as a fundamental analog fractional system is obtained. Illustrative examples are presented to show the quality and usefulness of the approximation method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 4; 455-462
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł

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