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Wyniki wyszukiwania dla: MONOTONE ITERATIVE TECHNIQUE
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On neutral differential equations and the monotone iterative method
PublikacjaThe application of the monotone iterative method to neutral differential equations with deviating arguments is considered in this paper. We formulate existence results giving sufficient conditions which guarantee that such problems have solutions. This approach is new and to the Authors' knowledge, this is the first paper when the monotone iterative method is applied to neutral first-order differential equations with deviating...
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Monotone iterative method for first-order differential equations at resonance
PublikacjaThis paper concerns the application of the monotone iterative technique for first-order differential equations involving Stieltjes integrals conditions. We discuss such problems at resonance when the measure in the Stieltjes integral is positive and also when this measure changes the sign. Sufficient conditions which guarantee the existence of extremal, unique and quasi-solutions are given. Three examples illustrate the results.
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Monotone iterative method to second order differential equations with deviating arguments involving Stieltjes integral boundary conditions
PublikacjaWe use a monotone iterative method for second order differential equations with deviating arguments and boundary conditions involving Stieltjes integrals. We establish sufficient conditions which guarantee that such problems have extremal solutions in the corresponding region bounded by lower and upper solutions. We also discuss the situation when problems have coupled quasi-solutions. We illustrate our results by three examples.
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Fractional Problems with Right-Handed Riemann-Liouville Fractional Derivatives
PublikacjaIn this paper, we investigate the existence of solutions for advanced fractional differential equations containing the right-handed Riemann-Liouville fractional derivative both with nonlinear boundary conditions and also with initial conditions given at the end point T of interval [0,T ]. We use both the method of successive approximations, the Banach fixed point theorem and the monotone iterative technique, as well. Linear problems...
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Fractional problems with advanced arguments
PublikacjaThis paper concerns boundary fractional differential problems with advanced arguments. We investigate the existence of initial value problems when the initial point is given at the end point of an interval. Nonhomogeneous linear fractional differential equations are also studied. The existence of solutions for fractional differential equations with advanced arguments and with boundary value problems has been investigated by using...
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Systems of boundary value problems of advanced differential equations
PublikacjaThis paper considers the existence of extremal solutions to systems of advanced differential equations with corresponding nonlinear boundary conditions. The monotone iterative method is applied to obtain the existence results. An example is provided for illustration.
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Quasi-solutions for generalized second order differential equations with deviating arguments
PublikacjaThis paper deal with boundary value problems for generalized second order differential equations with deviating arguments. Existence of quasi-solutions and solutions are proved by monotone iterative method. Examples with numerical results are added.
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Boundary problems for fractional differential equations
PublikacjaIn this paper, the existence of solutions of fractional differential equations with nonlinear boundary conditions is investigated. The monotone iterative method combined with lower and upper solutions is applied. Fractional differential inequalities are also discussed. Two examples are added to illustrate the results.
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First-order differential equations with nonlocal boundary conditions
PublikacjaWe study a first-order boundary value problem subject to some boundary conditions given by Riemann-Stieltjes integrals. Using a monotone iterative method, we formulate sufficient conditions which guarantee the existence of extremal or quasi-solutions in the corresponding region bounded by upper and lower solutions of our problems. The case when a unique solution exists is also investigated. Some examples are given to illustrate...
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Fractional equations of Volterra type involving a Riemann Liouville derivative
PublikacjaIn this paper, we discuss the existence of solutions of fractional equations of Volterra type with the Riemann Liouville derivative. Existence results are obtained by using a Banach fixed point theorem with weighted norms and by a monotone iterative method too. An example illustrates the results.
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Non-monotone graph searching models
PublikacjaGraph searching encompasses a variety of different models, many of which share a property that in optimal strategies fugitive can never access once searched regions. Monotonicity, as it is called, is vital in many established results in the field however its absence significantly impedes the analysis of a given problem. This survey attempts to gather non-monotone models, that are less researched in effort of summarizing the results...
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22/23_winter_ Legislative technique in planning
Kursy OnlineThe objective of the module is for students to understand the principles of legislative technique and to be able to apply them correctly in the planning documents they draw up.
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23/24_winter_ Legislative technique in planning
Kursy OnlineThe objective of the module is for students to understand the principles of legislative technique and to be able to apply them correctly in the planning documents they draw up.
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Krylov Space Iterative Solvers on Graphics Processing Units
PublikacjaCUDA architecture was introduced by Nvidia three years ago and since then there have been many promising publications demonstrating a huge potential of Graphics Processing Units (GPUs) in scientific computations. In this paper, we investigate the performance of iterative methods such as cg, minres, gmres, bicg that may be used to solve large sparse real and complex systems of equations arising in computational electromagnetics.
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Existence and uniqueness of monotone and bounded solutions for a finite-difference discretization a` la Mickens of the generalized Burgers–Huxley equation.
PublikacjaDeparting from a generalized Burgers–Huxley partial differential equation, we provide a Mickens-type, nonlinear, finite-difference discretization of this model. The continuous system is a nonlinear regime for which the existence of travelling-wave solutions has been established previously in the literature. We prove that the method proposed also preserves many of the relevant characteristics of these solutions, such as the positivity,...
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A Novel Iterative Decoding for Iterated Codes Using Classical and Convolutional Neural Networks
PublikacjaForward error correction is crucial for communication, enabling error rate or required SNR reduction. Longer codes improve correction ratio. Iterated codes offer a solution for constructing long codeswith a simple coder and decoder. However, a basic iterative code decoder cannot fully exploit the code’s potential, as some error patterns within its correction capacity remain uncorrected.We propose two neural network-assisted decoders:...
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Iterative‐recursive estimation of parameters of regression models with resistance to outliers on practical examples
PublikacjaHere, identification of processes and systems in the sense of the least sum of absolute values is taken into consideration. The respective absolute value estimators are recognised as exceptionally insensitive to large measurement faults or other defects in the processed data, whereas the classical least squares procedure appears to be completely impractical for processing the data contaminated with such parasitic distortions. Since...
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A Selection of Starting Points for Iterative Position Estimation Algorithms Using Feedforward Neural Networks
PublikacjaThis article proposes the use of a feedforward neural network (FNN) to select the starting point for the first iteration in well-known iterative location estimation algorithms, with the research objective of finding the minimum size of a neural network that allows iterative position estimation algorithms to converge in an example positioning network. The selected algorithms for iterative position estimation, the structure of the...
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Science & Technique
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Monotone and numerical analytic- methods for differential equations.
PublikacjaPraca dotyczy problemu różniczkowo-całkowego (typu Fredholma) z ogólnym warunkiem początkowo-brzegowo-całkowym. W pierwszej części pracy, stosując metodę iteracji monotonicznych, sformułowano warunki dostateczne które gwarantują, że dyskutowany problem ma rozwiązanie ekstremalne w zbiorze generowanym przez dolne i górne rozwiązania. Rozważania teoretyczne poparto przykładem i dyskusją. W drugiej części pracy zastosowano metodę...
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Rapid optimization of compact microwave passives using kriging surrogates and iterative correction
PublikacjaDesign of contemporary microwave components is—in a large part—based on full-wave electromagnetic (EM) simulation tools. The primary reasons for this include reliability and versatility of EM analysis. In fact, for many microwave structures, notably compact components, EM-driven parameter tuning is virtually imperative because traditional models (analytical or network equivalents) are unable to account for the cross-coupling effects,...
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Iterative Algorithms for Multilayer Optimizing Control
PublikacjaMonografia przedstawia struktury, koncepcje i algorytmy dla wielowarstwowego sterowania optymalizującego procesami przemysłowymi będące w przeważającym stopniu wynikiem badań prowadzonych przez jej autorów. Metodologie i algorytmy sterowania są starannie ilustrowane wynikami symulacji dla wybranych przykładowych systemów. Oprócz tego przedstawione są zastosowania do realnych obiektów przemysłowych: kolumny destylacyjnej etyliny,...
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Fast and reliable knowledge-based design closure of antennas by means of iterative prediction-correction scheme
PublikacjaA novel framework for expedited antenna optimization with an iterative prediction-correction scheme is proposed. The methodology is comprehensively validated using three real-world antenna structures: narrow-band, dual-band and wideband, optimized under various design scenarios. The keystone of the proposed approach is to reuse designs pre-optimized for various sets of performance specifications and to encode them into metamodels...
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Successive Iterative Method for Higher-Order Fractional Differential Equations Involving Stieltjes Integral Boundary Conditions
PublikacjaIn 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.
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Quadrtic convergence of monotone iterations of differential-algebraic equations
PublikacjaZastosowano tu metodę quazilinearyzacji do równań różniczkowo-algebraicznych z warunkiem początkowym. Pokazano, że odpowiednie iteracje monotoniczne są zbieżne do jedynego rozwiązania.
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Iterative Global Sensitivity Analysis Algorithm with Neural Network Surrogate Modeling
PublikacjaGlobal sensitivity analysis (GSA) is a method to quantify the effect of the input parameters on outputs of physics-based systems. Performing GSA can be challenging due to the combined effect of the high computational cost of each individual physics-based model, a large number of input parameters, and the need to perform repetitive model evaluations. To reduce this cost, neural networks (NNs) are used to replace the expensive physics-based...
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Assessment of tensile forces in Sopot Forest Opera membrane by in situ measurements and iterative numerical strategy for inverse problem
PublikacjaAssessment of tensile forces in newly build Sopot Forest Opera roofing membrane is presented. The procedure is based on in situ measurements and solution of the inverse problem by an iterative procedure. The goal of the analysis is to determine whether the stress state of the membrane is consistent with the design assumptions. The paper contains the description of measurements, used instruments, applied loadings, numerical investiga-tions...
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Quadratic convergence of monotone iterations to systems of differential-algebraic equations
PublikacjaZastosowano tu metodę dolnych i górnych rozwiązań do skonstruowania monotonicznych ciągów, które są zbieżne kwadratowo do jedynego rozwiązania układu równań różniczkowo-algebraicznych z warunkiem początkowym.
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Monotone method to Volterra and Fredholm integral equations with deviating arguments
PublikacjaPraca dotyczy problemów istnienia rozwiązań równań całkowych typu Volterry i Fredholma z odchylonymi argumentami. Podano warunki dostateczne na istnienie rozwiązań w odpowiedniej klasie. Pewne nierówności całkowe typu opóźnionego są również przedmiotem badań.
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MICROSCOPY RESEARCH AND TECHNIQUE
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The iterative method in search for the state of equilibrium in anchor lines.
PublikacjaPrzedstawiono iteracyjną metodę rozwiązywania równań równowagi lin kotwicznych. Metoda jest szczególnie łatwa do zaprogramowania obliczeń numerycznych, ponieważ w każdym kroku iteracyjnym wymaga jedynie obliczania całek oznaczonych znanych funkcji. Wynikiem obliczeń są wartości sił podłużnych w linie i jej kształt, który na skutek oddziaływania prądu oceanicznego na linę może być krzywą przestrzenną. Przytoczone przykłady...
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On the convergence of iterative methods for general differential-algebraic systems.
PublikacjaW pracy badane jest istnienie i jednoznacznoSC rozwiązań dla ogólnej klasy układów równań całkowo-algebraicznych i różniczkowo-algebraicznych oraz zbieżność różnych metod iteracyjnych włączając metody typu ''waveform relaxation''. Podane są warunki, spełnienie których gwarantuje istnienie rozwiązań w/w równań oraz zbieżność badanych procesów iteracyjnych.
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Iterative learning approach to active noise control of highly autocorrelated signals with applications to machinery noise
PublikacjaThis paper discusses the design and application of iterative learning control (ILC) and repetitive control (RC) for high modal density systems. Typical examples of these systems are structural and acoustical systems considered in active structural acoustic control (ASAC) and active noise control (ANC) applications. The application of traditional ILC and RC design techniques, which are based on a parametric system model, on systems...
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Quadratic convergence of monotone iterations for differential equations with initial time difference
PublikacjaPodano warunki dostateczne na to, aby iteracje monotoniczne były zbieżne do jedynego rozwiązania równania różniczkowego przy różnych warunkach początkowych. Pokazano, że jest to zbieżność kwadratowa.
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Advances in macromodeling technique
PublikacjaThe paper discuses recent advances in the finite differencetime domain method employing macromodels. New techniquesfor creating irregularly shaped macromodels, grouping ofmacromodels and advanced macromodel cloning are introduced.The last technique is particularly important for efficient analysisof the structures based on Photonic Crystals (PhC). The methodallows one to shorten considerably the preprocessing time, theRAM usage...
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An EIT reconstruction algorithm: comparison of one-step and iterative versions.
PublikacjaW pracy przeprowadzono dyskusję problemu rekonstrukcji jednokrokowej i iteracyjnej w tomografii elektroimpedancyjnej. Zbadano zależność błędu rekonstrukcji od parametrów zaburzenia dla wersji jednokrokowej algorytmu i porównano z wynikami rekonstrukcji iteracyjnej. W przeprowadzonych symulacjach wykorzystano algorytm Levenberga-Marquardta.
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Antenna technique in space application - 22/23
Kursy Online -
24/24_winter_ Legislative technique in spatial planning
Kursy Online -
Monotone method for second-order delayed differential equations with boundary value conditions.
PublikacjaIstnienie rozwiązań problemów brzegowych dla równań różniczkowych drugiego rzędu z opóźnionymi argumentami jest dyskutowane w tej pracy. Nierówności różniczkowe rzędu drugiego z odchylonymi argumentami są również przedmiotem badań. Uzyskane wyniki otrzymano stosując technikę iteracji monotonicznych przy założeniu, że prawa strona zagadnienia spełnia jednostronny warunek Lipschitza. Sformułowano też twierdzenia o istnieniu rozwiązań...
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Model of the reciprocating engine using iterative procedures of the transient torque calculation
PublikacjaPrzedstawiony w pracy model silnika spalinowego uzależnia wartość dynamicznego momentu od sygnału sterowania po skokowej zmianie nastawy oraz od historii dynamicznej silnika i czasu jaki upłynął od tej zmiany. Przedstawione wyniki badań potwierdzają zasadność takiego opisu modelowanego zjawiska. Można również zauważyć, że po pewnym czasie od chwili rozpoczęcia procesu rozpędzania przebieg momentu dynamicznego będzie przebiegał...
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Remarks on the convergence of an iterative method of solution of generalized least squares problem
PublikacjaW pracy przedstawiona jest metoda iteracyjna znajdowania regularyzowanego (w sensie Tichonowa) rozwiązania układu równań Ax=b z dowolną macierzą A. Dla danej liczby alfa i wektora g daje ona ciąg przybliżeń zbieżny do rozwiązania (w sensie najmniejszych kwadratów) tego układu. Rozwiązanie to minimalizuje odległość zbioru wszystkich rozwiązań średniokwadratowych układu Ax=b od wektora g. Podane zostało również oszacowanie szybkości...
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Guangxue Jishu/Optical Technique
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Fluctuation-Enhanced Sensing (FES): A Promising Sensing Technique
PublikacjaFluctuation-enhanced sensing (FES) is a very powerful odor and gas sensing technique and as such it can play a fundamental role in the control of environments and, therefore, in the protection of health. For this reason, we conduct a comprehensive survey on the state-of-the-art of the FES technique, highlighting potentials and limits. Particular attention is paid to the dedicated instrumentation necessary for the application of...
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Performance comparison of new modified gradient algorithm and Foy algorithm for iterative position calculation
PublikacjaIn the paper a new position calculation algorithm is presented. It is proposed for indoor environments and is called modified gradient algorithm. This algorithm is compared with well-known Foy algorithm. The comparative analysis is based on real distance measurements conducted in indoor environment.
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Domain Reduction in Hybrid Technique for Electromagnetic Wave Scattering Problems
PublikacjaThis paper proposes a combination of the field matching technique, finite element method and generalized impedance matrix, the main idea of which is to reduce the computational domain by surrounding a scatterer with the smallest convex shape and applying the field matching technique. This approach can be applied for arbitrary shaped scatterers and types of materials and allows for the reduction of the computational domain. In order...
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Hybrid technique for the analysis of circular waveguide junctions loaded with ferrite posts
PublikacjaThis study presents a hybrid technique for the analysis of circular waveguide junctions loaded with axially symmetrical ferrite posts of irregular shape. The method is based on a combination of the finite-difference frequency- domain technique with a mode-matching technique. The proposed approach is validated by comparing the presented results with numerical ones obtained from commercial software. The application of a cylindrical...
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Calculation of Resonance in Planar and Cylindrical Microstrip Structures Using a Hybrid Technique
PublikacjaA hybrid technique was employed for the analysis of the resonance frequency of thin planar and cylindrical microstrip structures with the patches of arbitrary geometry. The proposed technique utilizes a combination of Galerkin’s moment method and a finite-element method (FEM). In this approach, an FEM is adopted to calculate the patch surface current densities, and a method of moments is utilized to calculate the resonance frequencies...
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Analysis of Floodplain Inundation Using 2D Nonlinear Diffusive Wave Equation Solved with Splitting Technique
PublikacjaIn the paper a solution of two-dimensional (2D) nonlinear diffusive wave equation in a partially dry and wet domain is considered. The splitting technique which allows to reduce 2D problem into the sequence of one-dimensional (1D) problems is applied. The obtained 1D equations with regard to x and y are spatially discretized using the modified finite element method with the linear shape functions. The applied modification referring...
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VIDE-SCIENCE TECHNIQUE ET APPLICATIONS
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On the preestimation technique and its application to identification of nonstationary systems
PublikacjaThe problem of noncausal identification of a nonstationary stochastic FIR (finite impulse response) sys- tem is reformulated, and solved, as a problem of smoothing of preestimated parameter trajectories. Three approaches to preestimation are critically analyzed and compared. It is shown that optimization of the smoothing operation can be performed adaptively using the parallel estimation technique. The new approach is computationally...