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Wyświetlanie 1-15 z 52
Tytuł:
A note on a family of quadrature formulas and some applications
Autorzy:
Bożek, B.
Solak, W.
Szydełko, Z.
Powiązania:
https://bibliotekanauki.pl/articles/255752.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
quadrature and cubature formulas
numerical integration
Opis:
In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, mid-point rule and two-point Gauss rule. One can prove that for any continuous function there exists a parameter for which the value of quadrature formula is equal to the integral. Some applications of this family to the construction of cubature formulas, numerical solution of ordinary differential equations and integral equations are presented.
Źródło:
Opuscula Mathematica; 2008, 28, 2; 109-121
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
RBF based quadrature on the sphere
Autorzy:
Kindelan, Manuel
González-Rodríguez, Pedro
Álvarez, Diego
Powiązania:
https://bibliotekanauki.pl/articles/2172102.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
RBF-FD based technique
quadrature
sphere
Opis:
The paper describes a new RBF-FD based technique to compute quadrature weights on the sphere. In the proposed method, the sphere is divided into rectangles in the latitude-azimuth coordinate system, and the function is integrated over each rectangle using RBF interpolation. The method is easy to implement and its accuracy is comparable to that based on SPH expansions. One advantage of the proposed method is its ability to handle non-uniform node distributions. On this respect, we propose a new algorithm to cluster nodes in regions of steep changes in the function. It is a repulsion-based algorithm with a non-uniform distribution of electrical charges. We show that, using node clustering, the accuracy of the method can be significantly improved.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2022, 32, 3; 467--479
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Noncircularity of Demodulated Radar Signal
Autorzy:
Rytel-Andrianik, R.
Powiązania:
https://bibliotekanauki.pl/articles/227136.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
quadrature demodulator
complex radar signals
properness
circularity
Opis:
The output of the quadrature demodulator is generally regarded as a complex signal that is circular if only the demodulator is well balanced. In the paper we analyze properties of quadrature demodulators, particularly digital one, and show that the output is noncircular also if the input signal is nonstationary. Then we find sources of this noncircularity and show that they stem from transients of the low-pass demodulator filter. This is quite important because nonstationary inputs are quite typical in radar where power of echoes depends strongly on range. In the first sections we also review complex random signals and properties of circularity and properness.
Źródło:
International Journal of Electronics and Telecommunications; 2013, 59, 3; 301-306
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some quadrature rules with Gregory end corrections
Autorzy:
Bożek, B.
Solak, W.
Szydełko, Z.
Powiązania:
https://bibliotekanauki.pl/articles/255170.pdf
Data publikacji:
2009
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
numerical integration
quadrature formulas
summation of series
Opis:
How can one compute the sum of an infinite series s := a1 + a2 + ź ź ź ? If the series converges fast, i.e., if the term a(n) tends to 0 fast, then we can use the known bounds on this convergence to estimate the desired sum by a finite sum a1 +a2 +ź ź ź+a(n). However, the series often converges slowly. This is the case, e.g., for the series a(n) = n(-t) that defines the Riemann zeta-function. In such cases, to compute s with a reasonable accuracy, we need unrealistically large values n, and thus, a large amount of computation. Usually, the n-th term of the series can be obtained by applying a smooth function ƒ(x) to the value n: an = ƒ(n). In such situations, we can get more accurate estimates if instead of using the upper bounds on the remainder infinite sum R = ƒ(n + 1) + ƒ(n + 2) + . . ., we approximate this remainder by the corresponding integral I of ƒ(x) (from x = n + 1 to infinity), and find good bounds on the difference I - R. First, we derive sixth order quadrature formulas for functions whose 6th derivative is either always positive or always negative and then we use these quadrature formulas to get good bounds on I - R, and thus good approximations for the sum s of the infinite series. Several examples (including the Riemann zeta-function) show the efficiency of this new method. This paper continues the results from [3] and [2].
Źródło:
Opuscula Mathematica; 2009, 29, 2; 117-129
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications
Autorzy:
Alomari, Mohammad W.
Powiązania:
https://bibliotekanauki.pl/articles/744691.pdf
Data publikacji:
2016-12-01
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
Ostrowski’s inequality
Quadrature formula
Riemann-Stieltjes integral
Opis:
A sharp companion of Ostrowski’s inequality for the Riemann-Stieltjes integral [...] ∫abf(t) du(t) $\int_a^b {f(t)\;du(t)} $ , where f is assumed to be of r-H-Hölder type on [a, b] and u is of bounded variation on [a, b], is proved. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2016, 15
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free vibration analysis of point supported rectangular plates using quadrature element method
Autorzy:
Çetkin, A.
Orak, S.
Powiązania:
https://bibliotekanauki.pl/articles/279766.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
Quadrature Element Method
point support
plates
free vibration
Opis:
In this study, the hybrid approach of the Quadrature Element Method (QEM) has been employed to generate solutions for point supported isotropic plates. The Hybrid QEM technique consists of a collocation method with the Galerkin finite element technique to combine the high accurate and rapid converging of Differential Quadrature Method (DQM) for effi- cient solution of differential equations. To present the validity of the solutions, the results have been compared with other known solutions for point supported rectangular plates. In addition, different solutions are carried out for different type boundary conditions, different locations and number of point supports. Results for the first vibration modes of plates are also tested using a commercial finite element code, and it is shown that they are in good agreement with literature.
Źródło:
Journal of Theoretical and Applied Mechanics; 2017, 55, 3; 1041-1053
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some results on convergence acceleration for the E-algorithm
Autorzy:
Fdil, A.
Powiązania:
https://bibliotekanauki.pl/articles/1339113.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
extrapolation
summation of series
convergence acceleration
numerical quadrature
Opis:
Some new results on convergence acceleration for the E-algorithm which is a general extrapolation method are obtained. A technique for avoiding numerical instability is proposed. Some applications are given. Theoretical results are illustrated by numerical experiments
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 4; 393-413
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Three-dimensional asymmetric thermo-elastic analysis of a functionally graded rotating cylindrical shell
Trójwymiarowa analiza asymetrycznie termosprężystego zagadnienia wirującej powłoki cylindrycznej wykonanej z materiału gradientowego
Autorzy:
Alashti, R. A.
Khorsand, M.
Tarahhomi, M. H.
Powiązania:
https://bibliotekanauki.pl/articles/280960.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
functionally graded material
rotating cylindrical shell
differential quadrature
thermoelasticity
Opis:
In this paper, asymmetric deformation and stress analysis of a functionally graded hollow cylindrical shell under the effect of thermo-mechanical loads using the differential quadrature method is carried out. Without losing the generality, material properties of the cylindrical shell are assumed to be graded in the radial direction obeying a power law, while the Poisson ratio is assumed to be constant. The governing partial differential equations are Expressem in terms of displacement and thermal fields in series forms with the help of two versions of differential quadrature methods, namely the polynomial and Fourier quadrature methods. The cylindrical shell is considered under both axisymmetric and asymmetric loading conditions. Numerical results for the axisymmetric loading condition of the cylindrical Shell graded according to a power law function are obtained and compared with exact solutions which are found to be in very good agreement. Asymmetric thermo-elastic analysis of the shell rotating at a constant angular velocity is made and the effect of the grading parameter, angular velocity, temperature difference and geometry on stresses, radial displacement and temperature fields are presented.
W pracy zaprezentowano analizę asymetrycznej deformacji i naprężeń w otwartej powłoce cylindrycznej wykonanej z materiału gradientowego i poddanej obciążeniom termosprężystym. Do badań wykorzystano metodę kwadratury różniczkowej. Nie tracąc na ogólności rozważań, założono, że właściwości materiału zmieniają się stopniowo w kierunku promieniowym zgodnie z przyjętym prawem potęgowym. Przyjęto ponadto, że współczynnik Poissona jest stały. Cząstkowe równania różniczkowe modelu wyrażono w funkcji przemieszczenia i pola temperatur ujętych w formie szeregów uzyskanych za pomocą dwóch wersji metody kwadratury różniczkowej, tj. kwadratury Fouriera i wielomianowej. Powłokę cylindryczną badano dla osiowo-symetrycznego i asymetrycznego stanu obciążenia. Wyniki symulacji numerycznych dla stanu osiowo-symetrycznego porównano z rozwiązaniami ścisłymi, stwierdzając bardzo dobrą zgodność. Przedstawiono także wyniki analizy termosprężystości dla przypadku asymetrycznego powłoki wirującej ze stałą prędkością kątową. Przedyskutowano ponadto wpływ wykładnika potęgowego rozkładu gradientowego właściwości materiału, wpływ prędkości wirowania, różnic temperatury i geometrii na przemieszczenia promieniowe powłoki i kształt pola cieplnego.
Źródło:
Journal of Theoretical and Applied Mechanics; 2013, 51, 1; 143-158
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convergence acceleration by the $E_{+p}$-algorithm
Autorzy:
Fdil, A.
Powiązania:
https://bibliotekanauki.pl/articles/1339005.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
convergence acceleration
E-algorithm
linear periodic convergence
numerical quadrature
Opis:
A new algorithm which generalizes the E-algorithm is presented. It is called the $E_{+p}$-algorithm. Some results on convergence acceleration for the $E_{+p}$-algorithm are proved. Some applications are given.
Źródło:
Applicationes Mathematicae; 1998-1999, 25, 3; 327-338
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Near perfect reconstruction filter banks for power quality analysis
Autorzy:
Taskovski, D.
Koleva, L.
Milchevski, A.
Dimcev, V.
Powiązania:
https://bibliotekanauki.pl/articles/220392.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
power quality
power harmonics
disturbance classification
quadrature mirror filters
Opis:
The wavelet transform has been successfully used in the area of power quality analysis. There are many published papers with methods for power quality disturbance classification or harmonics measurement, which use wavelet transform. However, the properties of the wavelet transform can drastically vary from the choice of the wavelet. In this paper we analyze the influence of the choice of the wavelet to the accuracy of the power quality classification method and to high frequency harmonics measurements. Additionally to the well known wavelet filters we introduce near perfect reconstruction filter banks. The simulation results indicate that these filter banks are a good choice for classification of power quality disturbances, especially in the presence of noise and for high frequency harmonics measurements.
Źródło:
Metrology and Measurement Systems; 2013, 20, 3; 359-370
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new cross-saturated torque model of highly utilized synchronous reluctance machine
Autorzy:
Ogbuka, C.
Nwosu, C.
Umoh, G.
Powiązania:
https://bibliotekanauki.pl/articles/949911.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
synchronous reluctance machine
cross-saturation
direct-quadrature axes
flux linkage
Opis:
A new cross-saturated torque model of the synchronous reluctance machine (SynRM) including a direct incorporation of cross-saturation effects is presented. Direct-quadrature (d-q axes) flux linkages for both saturation and cross-saturation conditions, obtained experimentally through current decay test using open winding fixed rotor method, are accurately curve-fitted and linearization between the two extremes yielding analytical functions for cross-coupled d-q axes flux linkages. These flux linkages are used to achieve a cross-saturated flux linkage-based torque model for highly utilized SynRM. The accuracy of the developed torque model is evaluated by comparing with the experimentally measured torque of a 5.5 kW SynRM in a dynamometer test bench which also measures and account for the effect of iron losses. The close similarity of the experimental results with the developed model proves the accuracy of the model and its suitability for direct incorporation in control algorithms of advanced SynRM drives without the use of look-up tables.
Źródło:
Archives of Electrical Engineering; 2018, 67, 1; 109-121
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Three-dimensional thermal buckling analysis of functionally graded cylindrical panels using differential quadrature method (DQM)
Autorzy:
Ahmadi, S. A.
Pourshahsavari, H.
Powiązania:
https://bibliotekanauki.pl/articles/949112.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
thermal buckling
curved panel
functionally graded material
differential quadrature method
Opis:
Thermal buckling analysis of functionally graded cylindrical panels subjected to various conditions is discussed in this paper. Buckling governing equations are solved using the differential quadrature method. It is assumed that the mechanical properties of the panel are graded through thickness according to a power function of the thickness variable. The panel is assumed to be under the action of three types of thermal loading including uniform temperature rise and variable temperature rise in the axial and radial direction. In the present study, the effects of power law index, panel angle, different thermal load conditions and geometric parameters on the buckling behavior of functionally graded curved panels are studied. The results obtained through the present method are compared to the finite element solutions and the reported results in the literature. A desirable compatibility is concluded.
Źródło:
Journal of Theoretical and Applied Mechanics; 2016, 54, 1; 135-147
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Performance Analysis of Hybrid Phase Shift Keying over Generalized Nakagami Fading Channels
Autorzy:
Youssuf, M.
Abdelmageed, M. Z.
Powiązania:
https://bibliotekanauki.pl/articles/308527.pdf
Data publikacji:
2010
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
bit error rate
hybrid phase shift keying
quadrature phase shift keying
Opis:
In addition to the benefits of hybrid phase shift keying (HPSK) modulation in reducing the peak to average power ratio of the transmitted signal to reduce the zero cross- ings and the 0?-degree phase transmissions, HPSK enhances the bit error rate (BER) measure of the signal performance. The constellation of the HPSK is analyzed, and an expression for the conditional probability of HPSK modulation over additive white Gaussian noise (AWGN) is derived. This BER measure of HPSK is shown to outperform quadrature phase shift keying (QPSK) modulation. HPSK performance through Nakagami - m fading channel is also considered.
Źródło:
Journal of Telecommunications and Information Technology; 2010, 3; 77-82
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of axially loaded tapered beams with general end restraints on two-parameter foundation
Autorzy:
Taha, M. H.
Nassar, M.
Powiązania:
https://bibliotekanauki.pl/articles/280518.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
tapered beams
elastic end restraints
two-parameter foundation
differential quadrature method
Opis:
The stability and free vibration of axially-loaded tapered beams with elastic end restraints resting on two-parameter foundations are studied using the differential quadrature method (DQM). The governing differential equation is discretized at sampling points, and then the boundary conditions due to elastic end restraints are implemented and substituted into the governing differential equation yielding a system of homogeneous algebraic equations. The equivalent two-parameter eigenvalue problem is obtained and solved for critical loads in the static case and for natural frequencies in the dynamic case. The obtained solutions are found compatible with those obtained from other techniques. The influences of different parameters on the critical loads and natural frequencies are investigated.
Źródło:
Journal of Theoretical and Applied Mechanics; 2014, 52, 1; 215-225
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Thermal and fluid analysis on effects of a nanofluid outside of a stretching cylinder with magnetic field using the Differential Quadrature Method
Autorzy:
Ghasemi, S. E.
Hatami, M.
Salarian, A.
Domairry, G.
Powiązania:
https://bibliotekanauki.pl/articles/281394.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
nanofluids
Differential Quadrature Method (DQM)
heat transfer
streching cylinder
magnetic field
Opis:
In this paper, magnetohydrodynamic flow (MHD) of a nonofluid over a stretching cylinder is investigated numerically. The Differential Quadrature Method (DQM) is applied for solving the governing equations. The influence of relevant parameters such as the magnetic parameter, the solid volume fraction of nanoparticles and the type of nanofluid on the flow, heat transfer, Nusselt number and skin friction coefficient is discussed. Also, comparison with the published results is presented. The results show that the Nusselt number increases with growth in the volume fraction coefficient and Reynolds number but decreases with the magnetic parameter.
Źródło:
Journal of Theoretical and Applied Mechanics; 2016, 54, 2; 517-528
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 52

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