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Wyszukujesz frazę "iterative equations" wg kryterium: Temat

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    Wyświetlanie 1-12 z 12
    Tytuł:
    Continuous solutions of iterative equations of infinite order
    Autorzy:
    Kapica, R.
    Morawiec, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/255177.pdf
    Data publikacji:
    2009
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    random-valued vector functions
    sequences of iterates
    iterative equations
    continuous solutions
    Opis:
    Given a probability space (Ω, A, P) and a complete separable metric space X, we consider R continuous and bounded solutions φ: X → R of the equations φ (x) = ∫Ω φ(ƒ(x, ω)) P(dω) and φ(x) = 1 - ∫Ωφ(ƒ(x, ω)) P(dω), assuming that the given function ƒ : X x Ω → X is controlled by a random variable L: Ω → (0, ∞) with -∞ < ∫Ω log L (ω) P (dω) < 0. An application to a refinement type equation is also presented.
    Źródło:
    Opuscula Mathematica; 2009, 29, 2; 147-155
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Acceleration properties of the hybrid procedure for solving linear systems
    Autorzy:
    Abkowicz, Anna
    Brezinski, Claude
    Powiązania:
    https://bibliotekanauki.pl/articles/1340245.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    linear equations
    acceleration
    iterative methods
    Opis:
    The aim of this paper is to discuss the acceleration properties of the hybrid procedure for solving a system of linear equations. These properties are studied in a general case and in two particular cases which are illustrated by numerical examples.
    Źródło:
    Applicationes Mathematicae; 1995-1996, 23, 4; 417-432
    1233-7234
    Pojawia się w:
    Applicationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Approximation methods for a class of discrete Wiener-Hopf equations
    Autorzy:
    Nowak, M. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/255249.pdf
    Data publikacji:
    2009
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    projection methods
    iterative methods
    discrete Wiener-Hopf equations
    Toeplitz operators
    Opis:
    In this paper, we consider approximation methods for operator equations of the form Au + Bu = ƒ, where A is a discrete Wiener-Hopf operator on lp (1≤ p < ∞) which symbol has roots on the unit circle with arbitrary multiplicities (not necessary integers). Conditions on perturbation B and ƒ are given in order to guarantee the applicability of projection-iterative methods. Effective error estimates, and simultaneously, decaying properties for solutions are obtained in terms of some smooth spaces.
    Źródło:
    Opuscula Mathematica; 2009, 29, 3; 271-288
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The method of quasilinearization for system of hyperbolic functional differential equations
    Autorzy:
    Karpowicz, Adrian
    Powiązania:
    https://bibliotekanauki.pl/articles/745763.pdf
    Data publikacji:
    2008
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Monotone iterative technique
    Generalized quasilinearization
    Hyperbolic equations
    Darboux problem
    Functional differential inequalities
    Opis:
    We deal with monotone iterative method for the Darboux problem for the system of hyperbolic partial functional-differential equations \[ \begin{cases} \frac{\partial^2 u}{\partial x\partial y} (x,y) = f(x,y,u_{(x,y)}, u_{(x,y)}, \text{a.e. in}\ [0,1]\times [0,b]\\ u(x,y) = \psi (x,y), \text{on}\ [-a_0,a]\times [-b_0,b] \setminus (0,a] \times (0,b], \end{cases} \] where the function \(u_{(x,y)}\colon [-a_0,0]\times [-b_0,0] \to \mathbb{R}^k\) is defined by \(u_{(x,y)} (s, t) = u(s + x, t + y)\) for \((s, t)\in [-a_0 , 0] \times [-b_0 , 0]\).
    Źródło:
    Commentationes Mathematicae; 2008, 48, 2
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type
    Autorzy:
    Zabawa, T.S.
    Powiązania:
    https://bibliotekanauki.pl/articles/255205.pdf
    Data publikacji:
    2005
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    infinite systems
    elliptic differential-functional equations
    monotone iterative technique
    Chaplygin's method
    Dirichlet problem
    Opis:
    The Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations of elliptic type is considered. It is shown the existence of solutions to this problem. The result is based on Chaplygin's method of lower and uper functions.
    Źródło:
    Opuscula Mathematica; 2005, 25, 2; 333-343
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence of solution of the nonlinear Dirichlet problem for differential-functional equations of elliptic type
    Autorzy:
    Brzychczy, Stanisław
    Powiązania:
    https://bibliotekanauki.pl/articles/1311834.pdf
    Data publikacji:
    1993
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    nonlinear differential-functional equations of elliptic type
    monotone iterative technique
    Chaplygin's method
    Dirichlet problem
    Opis:
    Consider a nonlinear differential-functional equation (1) Au + f(x,u(x),u) = 0 where $Au := ∑_{i,j=1}^m a_{ij}(x) (∂²u)/(∂x_i ∂x_j)$, $x=(x_1,...,x_m) ∈ G ⊂ ℝ^m$, G is a bounded domain with $C^{2+α}$ (0 < α < 1) boundary, the operator A is strongly uniformly elliptic in G and u is a real $L^p(G̅)$ function. For the equation (1) we consider the Dirichlet problem with the boundary condition (2) u(x) = h(x) for x∈ ∂G. We use Chaplygin's method [5] to prove that problem (1), (2) has at least one regular solution in a suitable class of functions. Using the method of upper and lower functions, coupled with the monotone iterative technique, H. Amman [3], D. H. Sattinger [13] (see also O. Diekmann and N. M. Temme [6], G. S. Ladde, V. Lakshmikantham, A. S. Vatsala [8], J. Smoller [15]) and I. P. Mysovskikh [11] obtained similar results for nonlinear differential equations of elliptic type. A special case of (1) is the integro-differential equation $Au + f(x,u(x), ∫_G u(x)dx) = 0$. Interesting results about existence and uniqueness of solutions for this equation were obtained by H. Ugowski [17].
    Źródło:
    Annales Polonici Mathematici; 1993, 58, 2; 139-146
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Monotone iterative methods for infinite systems of reaction-diffusion-convection equations with functional dependence
    Autorzy:
    Brzychczy, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/255097.pdf
    Data publikacji:
    2005
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    infinite systems
    reaction-diffusion-convection equations
    semilinear parabolic differential-functional equations
    Volterra functionals
    monotone iterative methods
    method of upper and lower solutions
    Opis:
    We consider the Fourier first initial-boundary value problem for an infinite system of semilinear parabolic differential-functional equations of reaction-diffusion-convection type of the form [formula] where [formula] in a bounded cylindrical domain (0, T] x G := D rcup Rm+1. The right-hand sides of the system are Volterra type functionals of the unknown function z. In the paper, we give methods of the construction of the monotone iterative sequences converging to the unique classical solution of the problem considered in partially ordered Banach spaces with various convergence rates of iterations. We also give remarks on monotone iterative methods in connection with numerical methods, remarks on methods for the construction of lower and upper solutions and remarks concerning the possibility of extending these methods to more general parabolic equations. All monotone iterative methods are based on differential inequalities and, in this paper, we use the theorem on weak partial differential-functional inequalities for infinite systems of parabolic equations, the comparison theorem and the maximum principle. A part of the paper is based on the results of our previous papers. These results generalize the results obtained by several authors in numerous papers for finite systems of semilinear parabolic differential equations to encompass the case of infinite systems of semilinear parabolic differential-functional equations. The monotone iterative schemes can be used for the computation of numerical solutions.
    Źródło:
    Opuscula Mathematica; 2005, 25, 1; 29-99
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations
    Autorzy:
    Brzychczy, Stanisław
    Powiązania:
    https://bibliotekanauki.pl/articles/1293995.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    method of lower and upper functions
    infinite systems of parabolic differential-functional equations
    monotone iterative method
    Opis:
    We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations. To prove the existence and uniqueness of solution, we apply a monotone iterative method using J. Szarski's results on differential-functional inequalities and a comparison theorem for infinite systems.
    Źródło:
    Annales Polonici Mathematici; 1999, 72, 1; 15-24
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Successive iterative method for higher-order fractional differential equations involving Stieltjes integral boundary conditions
    Autorzy:
    Jankowski, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/1938598.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Gdańska
    Tematy:
    fractional differential equations with delayed arguments
    Stieltjes integral boundary conditions
    successive iterative method
    convergence
    existence of positive solutions
    Opis:
    In this paper, the existence of positive solutions to fractional differential equations with delayed arguments and Stieltjes integral boundary conditions is discussed. The convergence of successive iterative method of solving such problems is investigated. This allows us to improve some recent works. Some numerical examples illustrate the results.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 1; 99-108
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    New iterative method of solving nonlinear equations in fluid mechanics
    Autorzy:
    Palivets, M.
    Andreev, E.
    Bakshtanin, A.
    Benin, D.
    Snezhko, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/2106452.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    trzęsienie ziemi
    mechanika płynów
    porowatość
    Adomian Decomposition Method ADM
    earthquake
    filtration
    fluid mechanics
    iterative method
    nonlinear fractional partial differential equations
    porous medium
    Opis:
    This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics. A numerical analysis was performed to find an exact solution of the fractional wave equation and fractional Burgers’ equation, as well as an approximate solution of fractional KdV equation and fractional Boussinesq equation. Fractional derivatives of the order are described using Caputo's definition with 01<α≤ or 12<α≤. A comparative analysis of the results obtained using a new iterative method with those obtained by the Adomian decomposition method showed the first method to be more efficient and simple, providing accurate results in fewer computational operations. Given its flexibility and ability to solve nonlinear equations, the iterative method can be used to solve more complex linear and nonlinear fractional partial differential equations.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2021, 26, 3; 163--176
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Iterative Model Reduction of Large State-Space Systems
    Autorzy:
    Huhtanen, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/908302.pdf
    Data publikacji:
    1999
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    redukcja modeli
    metoda iteracyjna
    równanie macierzowe Lyapunova
    kondycjonowanie
    operator Hankela
    model reduction
    iterative methods
    Lyapunov matrix equations
    Hankel operator
    preconditioning
    Hankel singular values
    Opis:
    There exist criteria for reducing the order of a large state-space model based on the accuracy of the approximate solutions to the Lyapunov matrix equations and the Hankel operator. Iterative solution techniques for the Lyapunov equations with the Arnoldi method have been proposed in a number of papers. In this paper we derive error bounds for approximations to the solutions to the Lyapunov equations as well as for the Hankel operator that indicate how to precondition while solving these equations iteratively.These bounds show that the error depends on three terms: First, on the amount of invariance of the constructed subspace for A, second, on the eigenvalues of A at least in proportion to 1/|Re l|, and third, under a certain condition on projectors P_l=W_lW_l* ,on the factor min_{X in C^{l x p}}|| B-( l I-A)W_lX|| for l on a path G surrounding the spectrum of A. Consequently, in order to compensate for those parts of the spectrum where 1/|Re l| is not small, preconditioning or an inverse iteration is needed to keep the sizes of the matrices used in construction of a reduced-order model moderate.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 1999, 9, 2; 245-263
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Algorytmy obliczenia parametrów okręgu skanowanego głowic na współrzędnościowej maszynie pomiarowej
    Algorithms for determining parameters of a circle scanning with the probe on computer measuring machine
    Autorzy:
    Filipowski, R.
    Lechniak, Z.
    Zawora, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/404578.pdf
    Data publikacji:
    2018
    Wydawca:
    Wydawnictwo AWART
    Tematy:
    computer measuring machine
    probe
    uncertainty of measurement
    system of non-linear homogeneous equations
    iterative Newtonian formula
    współrzędnościowa metoda pomiarowa
    aproksymacja średniokwadratowa Newtona
    odchyłka geometryczna
    Opis:
    Przedstawiono iteracyjną metodę obliczania parametrów okręgu (m , m , R ) na podstawie formuły Newtona. Przyjęto, że y –6 graniczna wartość składowych gradientu układu równań jednorodnych wynosi 10 mm. Do testowania programu wykorzystano punkty kontrolne leżące w sąsiedztwie znanego okręgu oraz zbiór punktów po skanowaniu otworu na współrzędnościowej maszynie pomiarowej firmy IS, głowicą ze sztywnym trzpieniem. Niepewność pomiaru wynosiła: w osi X 0,012 mm, w osi 0,01 mm . Za pomocą programu oblicza się okręgi: odniesienia najmniejszych kwadratów (LSCI), wpisany największy (MICI), opisany najmniejszy (MCCI) oraz najmniejszej strefy (MZCI).
    A method was presented for the iterative calculations of a circle parameters (m , m , R ) as based on the Newtonian x y formula. The iterative computation flow was interrupted when the gradient function value of nonlinear homogeneous equations –6 was smaller than 10 . For the program testing, the points from two sets were used, in the first set the points in the neighborhood of a circle were selected and in the second one from the set after circle scanning on the manually driven machine firm VIS were used. Uncertainty of measurements for the employed machine was 0,012 mm in the OX axis and 0,01 mm in the OY axis. Program calculate: least squares reference cylinder (LSCI), maximum inscribed reference circle (MICI), minimum circumscribed reference circle (MCCI), minimum zone reference circle (MZCI).
    Źródło:
    Obróbka Metalu; 2018, 2; 24-31
    2081-7002
    Pojawia się w:
    Obróbka Metalu
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-12 z 12

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