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Wyszukujesz frazę "Numerical methods" wg kryterium: Temat

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    Wyświetlanie 1-6 z 6
    Tytuł:
    Godunov-type algorithms for numerical modeling of solar plasma
    Autorzy:
    Murawski, K.
    Lee, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/206269.pdf
    Data publikacji:
    2012
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    computer science
    modelling
    numerical methods
    hyperbolic equations
    Opis:
    We discuss numerical methods to solve the Cauchy problem for hyperbolic equations, paying attention to equations which describe physical phenomena in fluid dynamics. We concentrate on Godunov-type methods which adopt Riemann solvers. These methods constitute a formidable task due to complexity of hyperbolic equations. Despite this complexity we show that the Godunov-type methods can be successfully applied to simulate complex systems such as described by equations of magnetohydrodynamics. In particular, we simulate thermal mode in a two-dimensional x-point magnetic field topology that is embedded in a gravitationally stratified solar atmosphere.
    Źródło:
    Control and Cybernetics; 2012, 41, 1; 35-56
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    MPI-GPU/CUDA implementation of TVDLF method for the two-dimensional advection equation
    Autorzy:
    Murawski, K.
    Stpiczyński, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/206329.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    computer science
    modelling
    numerical methods
    hyperbolic equations
    Opis:
    We implement Total Variation Diminishing Lax Friedrichs (TVDLF, or Rusanov) method to obtain numerical solutions of the two-dimensional advection equation. Despite the simplicity of this equation, solving it numerically is a formidable task. Based on the use of the original C++ MPI-GPU/CUDA code we present results of numerical tests we performed. These tests show that our code represents well the square wave profiles, leading to up to 60- times faster calculations with the use of MPI than with its serial counter-part.
    Źródło:
    Control and Cybernetics; 2014, 43, 2; 307-320
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the robustness of the topological derivative for Helmholtz problems and applications
    Autorzy:
    Leugering, Günter
    Novotny, Antonio André
    Sokolowski, Jan
    Powiązania:
    https://bibliotekanauki.pl/articles/2183490.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    topological derivative
    shape optimization
    inverse problems
    Helmholtz problem
    numerical methods
    complex variables
    Opis:
    We consider Helmholtz problems in two and three dimensions. The topological sensitivity of a given cost function J(uɛ) with respect to a small hole Bɛ around a given point x0ɛ ∈ Bɛ ⊂ Ω depends on various parameters, like the frequency k chosen or certain material parameters or even the shape parameters of the hole Bɛ. These parameters are either deliberately chosen in a certain range, as, e.g., the frequencies, or are known only up to some bounds. The problem arises as to whether one can obtain a uniform design using the topological gradient. We show that for 2-d and 3-d Helmholtz problems such a robust design is achievable.
    Źródło:
    Control and Cybernetics; 2022, 51, 2; 227--248
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A reliable synthesis of discrete-time Η∞ control. Part I: basic theorems and J-lossless conjugators
    Autorzy:
    Suchomski, P. J.
    Powiązania:
    https://bibliotekanauki.pl/articles/969759.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    linear systems
    discrete-time systems
    Riccati equations
    Η∞ methods
    lossless systems
    perturbation analysis
    numerical methods
    Opis:
    The paper gives a basis for solving many problems of numerically reliable synthesis of sub-optimal discrete-time control in Η∞. The approach is based on J-lossless factorisations of the delta-domain chain-scattering descriptions of continuous-time plants being controlled. Relevant properties of poles and zeros of chain-scattering models are given. Necessary and sufficient conditions for the existence of stabilising J-lossless conjugators are presented and discussed. Some aspects of numerical conditioning of synthesis of such conjugators are considered. A numerical example illustrating synthesis of stabilising right J-lossless conjugators is also included.
    Źródło:
    Control and Cybernetics; 2007, 36, 1; 97-141
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fictitious domain approach for numerical solution of elliptic problems
    Autorzy:
    Myśliński, A.
    Żochowski, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/206017.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    metoda elementów skończonych
    metody numeryczne
    zagadnienie eliptyczne
    elliptic problems
    fictitious domain method
    finite element method
    numerical methods
    Opis:
    In the paper the numerical aspects of the fictitious domain method for elliptic problems are considered. Theoretical results concerning the equivalence of original and embedded domain elliptic problems as well as the convergence of discretization are recalled. The dependence of accuracy of numerical solutions to elliptic problems on the approximation of boundary conditions as well as on the order of shape functions are disscussed. The numerical examples are provided.
    Źródło:
    Control and Cybernetics; 2000, 29, 1; 305-323
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Numerically robust synthesis of discrete-time H[infinity] estimators based on dual J-lossless factorisations
    Autorzy:
    Suchomski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/970576.pdf
    Data publikacji:
    2003
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    system dyskretno-czasowy
    estymacja
    filtr liniowy
    równanie Riccatiego
    metody numeryczne
    discrete-time systems
    state estimation
    linear filters
    Riccati equation
    numerical methods
    Opis:
    An approach to the numerically reliable synthesis of the H[infinity] suboptimal state estimators for discretised continuous-time processes is presented. The approach is based on suitable dual J-lossless factorisations of chain-scattering representations of estimated processes. It is demonstrated that for a sufficiently small sampling period the standard forward shift operator techniques may become ill-conditioned and numerical robustness of the design procedures can be significantly improved by employing the so-called delta operator models of the process. State-space models of all H[infinity] sub-optimal estimators are obtained by considering the suitable delta-domain algebraic Riccati equation and the corresponding generalised eigenproblem formulation. A relative condition number of this equation is used as a measure of its numerical conditioning. Both regular problems concerning models having no zeros on the boundary of the delta-domain stability region and irregular (non-standard) problems of models with such zeros are examined. For the first case, an approach based on a dual J-lossless factorisation is proposed while in the second case an extended dual J-lossless factorisation based on a zero compensator technique s required. Two numerical examples are given to illustrate some properties of the considered delta-domain approach.
    Źródło:
    Control and Cybernetics; 2003, 32, 4; 761-802
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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