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    Wyświetlanie 1-9 z 9
    Tytuł:
    Acoustic Eigenanalysis with Radial Basis Functions
    Autorzy:
    Majkut, L.
    Olszewski, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/1197535.pdf
    Data publikacji:
    2014-04
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.30.Mv
    43.10.Ks
    Opis:
    The paper concerns the eigenanalysis of acoustic cavities with the use of radial basis functions (RBF). The Kansa collocation method was used for determination of the natural frequencies and eigenvectors of 1D, 2D and 3D acoustic fields. Due to validation analysis of the proposed method, in simple examples like 1D, 2D rectangle and 3D rectangular parallelepiped all calculated eigenferquency and eigenvectors were compared with exact (analytical) results. All results indicate that using of multiquadric radial basis functions provide a results with very high accuracy in comparison to analytical results. In the paper a new method for determining the shape parameter of the multiquadric radial basis functions is described.
    Źródło:
    Acta Physica Polonica A; 2014, 125, 4A; A-77-A-83
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Comparison of Second Order Algorithms for Function Approximation with Neural Networks
    Autorzy:
    Boutalbi, E.
    Ait Gougam, L.
    Mekideche-Chafa, F.
    Powiązania:
    https://bibliotekanauki.pl/articles/1402013.pdf
    Data publikacji:
    2015-08
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.30.Mv
    07.05.Mh
    Opis:
    The Neural networks are massively parallel, distributed processing systems representing a new computational technology built on the analogy to the human information processing system. They are usually considered as naturally parallel computing models. The combination of wavelets with neural networks can hopefully remedy each other's weaknesses, resulting in wavelet based neural network capable of approximating any function with arbitrary precision. A wavelet based neural network is a nonlinear regression structure that represents nonlinear mappings as the superposition of dilated and translated versions of a function, which is found both in the space and frequency domains. The desired task is usually obtained by a learning procedure which consists in adjusting the "synaptic weights". For this purpose, many learning algorithms have been proposed to update these weights. The convergence for these learning algorithms is a crucial criterion for neural networks to be useful in different applications. In this paper, we use different training algorithms for feed forward wavelet networks used for function approximation. The training is based on the minimization of the least-square cost function. The minimization is performed by iterative first and second order gradient-based methods. We make use of the Levenberg-Marquardt algorithm to train the architecture of the chosen network and, then, the training procedure starts with a simple gradient method which is followed by a BFGS (Broyden, Fletcher, Glodfarb et Shanno) algorithm. The conjugate gradient method is then used. The performances of the different algorithms are then compared. It is found that the advantage of the last training algorithm, namely, conjugate gradient method, over many of the other optimization algorithms is its relative simplicity, efficiency and quick convergence.
    Źródło:
    Acta Physica Polonica A; 2015, 128, 2B; B-271-B-272
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Numerical Solution of Fractional Black-Scholes Equation by Using the Multivariate Padé Approximation
    Autorzy:
    Özdemir, N.
    Yavuz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031286.pdf
    Data publikacji:
    2017-09
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.60.-x
    02.30.Mv
    02.30.Jr
    Opis:
    In this study, a new application of multivariate Padé approximation method has been used for solving European vanilla call option pricing problem. Padé polynomials have occurred for the fractional Black-Scholes equation, according to the relations of "smaller than", or "greater than", between stock price and exercise price of the option. Using these polynomials, we have applied the multivariate Padé approximation method to our fractional equation and we have calculated numerical solutions of fractional Black-Scholes equation for both of two situations. The obtained results show that the multivariate Padé approximation is a very quick and accurate method for fractional Black-Scholes equation. The fractional derivative is understood in the Caputo sense.
    Źródło:
    Acta Physica Polonica A; 2017, 132, 3; 1050-1053
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Solutions for conservative nonlinear oscillators using an approximate method based on Chebyshev series expansion of the restoring force
    Autorzy:
    Beléndez, A.
    Hernández, A.
    Beléndez, T.
    Pascual, C.
    Alvarez, M.
    Arribas, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/1075577.pdf
    Data publikacji:
    2016-09
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.30.Hq
    02.30.Mv
    05.45.-a
    Opis:
    Approximate solutions for small and large amplitude oscillations of conservative systems with odd nonlinearity are obtained using a "cubication" method. In this procedure, the Chebyshev polynomial expansion is used to replace the nonlinear function by a third-order polynomial equation. The original second-order differential equation, which governs the dynamics of the system, is replaced by the Duffing equation, whose exact frequency and solution are expressed in terms of the complete elliptic integral of the first kind and the Jacobi elliptic function cn, respectively. Then, the exact solution for the Duffing equation is the approximate solution for the original nonlinear differential equation. The coefficients for the linear and cubic terms of the approximate Duffing equation - obtained by "cubication" of the original second-order differential equation - depend on the initial oscillation amplitude. Six examples of different types of common conservative nonlinear oscillators are analysed to illustrate this scheme. The results obtained using the cubication method are compared with those obtained using other approximate methods such as the harmonic, linearized and rational balance methods as well as the homotopy perturbation method. Comparison of the approximate frequencies and solutions with the exact ones shows good agreement.
    Źródło:
    Acta Physica Polonica A; 2016, 130, 3; 667-678
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Application of Fourier-Pade Approximation in Analysis of Holographic Diffraction Gratings
    Autorzy:
    Sevic, D.
    Savic-Sevic, S.
    Pantelic, D.
    Marinkovic, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/1399165.pdf
    Data publikacji:
    2013-10
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.30.Mv
    02.30.Nw
    42.40.Eq
    Opis:
    The diffraction gratings, fabricated in our laboratory, were presented and analyzed by atomic force microscopy in earlier publications. In this paper we apply the Fourier-Pade approximation on our data previously analyzed by fast Fourier transform, proving advantages of using the Fourier-Pade approximation for spectral analysis of structural properties of some optical materials.
    Źródło:
    Acta Physica Polonica A; 2013, 124, 4; 619-621
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Share Price Evolution as Stationary, Dependent Continuous-Time Random Walk
    Autorzy:
    Gubiec, T.
    Kutner, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/1538526.pdf
    Data publikacji:
    2010-04
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.50.Ey
    02.50.Ga
    05.40.Fb
    02.30.Mv
    Opis:
    Simple model of share price evolution, which is an extension of Kehr-Kutner-Binder one and Montero-Masoliver models, is presented. The market empirical data inspired the assumptions of the model. The model seems to be the reference one for the study of the short-range correlations in financial data as it considers the observed correlation over two successive jumps of the financial ant.
    Źródło:
    Acta Physica Polonica A; 2010, 117, 4; 669-672
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An Explicit Analytic Solution to the Thomas-Fermi Equation by the Improved Differential Transform Method
    Autorzy:
    Fatoorehchi, H.
    Abolghasemi, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/1198516.pdf
    Data publikacji:
    2014-05
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.30.Hq
    02.30.Mv
    02.60.Lj
    21.10.Ft
    31.15.-p
    Opis:
    In this paper, a newly proposed analytical scheme by the authors namely the improved differential transform method is employed to provide an explicit series solution to the Thomas-Fermi equation. The solution procedure is very straightforward, requiring merely elementary operations together with differentiation, and ends up in a recursive formula involving the Adomian polynomials to afford the unknown coefficients. Unlike many other methods, our approach is free of integration and hence can be of computational interest. In addition, a very good agreement between the proposed solution and the results from several well-known works in the literature is demonstrated.
    Źródło:
    Acta Physica Polonica A; 2014, 125, 5; 1083-1087
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analytic Approximations for Thomas-Fermi Equation
    Autorzy:
    El-Nahhas, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1812056.pdf
    Data publikacji:
    2008-10
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    02.30.Hq
    02.30.Mv
    02.60.Lj
    21.10.Ft
    31.15.-p
    Opis:
    In this paper, we give an analytic approximation to the solution of the Thomas-Fermi equation using the homotopy analysis method and with the use of a polynomial exponential basis.
    Źródło:
    Acta Physica Polonica A; 2008, 114, 4; 913-918
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dynamic Structural and Topological Phase Transitions on the Warsaw Stock Exchange: A Phenomenological Approach
    Autorzy:
    Sienkiewicz, A.
    Gubiec, T.
    Kutner, R.
    Struzik, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/1400183.pdf
    Data publikacji:
    2013-03
    Wydawca:
    Polska Akademia Nauk. Instytut Fizyki PAN
    Tematy:
    89.65.Gh
    02.50.Ey
    02.50.Ga
    05.40.Fb
    02.30.Mv
    Opis:
    We study crash dynamics of the Warsaw Stock Exchange by using minimal spanning tree networks. We identify the transition of the complex network during its evolution from a (hierarchical) power law minimal spanning tree network - representing the stable state of Warsaw Stock Exchange before the recent worldwide financial crash, to a superstar-like (or superhub) minimal spanning tree network of the market decorated by a hierarchy of trees - an unstable, intermediate market state. Subsequently, we observe a transition from this complex tree to the topology of the (hierarchical) power law minimal spanning tree network decorated by several star-like trees or hubs - this structure and topology represent the Warsaw Stock Exchange after the worldwide financial crash, and can be considered to be an aftershock. Our results can serve as an empirical foundation for a future theory of dynamic structural and topological phase transitions on financial markets.
    Źródło:
    Acta Physica Polonica A; 2013, 123, 3; 615-620
    0587-4246
    1898-794X
    Pojawia się w:
    Acta Physica Polonica A
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-9 z 9

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