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Search results for: SPECTRAL%20METHODS
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New Methods of Spectral Analysis of Current Oscillations of Electrochemical Processes
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The comparative study of different methods of spectral analysis of electrochemical oscillations
PublicationOscylacje elektrochemiczne często połączone są z roztwarzaniem metali. One często wykazują niestacjonarny charakter. W związku z czym wydaje się konieczne wykonanie analizy w równoczesnej dziedzinie czasu i częstotliwości. Zaprezentowano porównanie trzech nowych metod: STFT, transformacji falkowej i rozkładu Wigner-Ville´a. Zalety tych metod zostały wypunktowane oraz wykazane zostały różnice pomiędzy analizą Fourierowską i technikami...
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Propagation of elastic waves in structural elements by spectral finite element methods
PublicationW pracy przedstawiono metodę elementów spektralnych w zastosowaniu do analizy propagacji fal sprężystych w elementach konstrukcyjnych.
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Spectral Methods for Modelling of Wave Propagation in Structures in Terms of Damage Detection—A Review
PublicationModern methods of detection and identification of structural damage direct the activities of scientific groups towards the improvement of diagnostic methods using for example the phenomenon of mechanical wave propagation. Damage detection methods that use mechanical wave propagation in structural components are extremely effective. Many different numerical approaches are used to model this phenomenon, but, due to their universal...
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Fractional Spectral and Fractional Finite Element Methods: A Comprehensive Review and Future Prospects
PublicationIn this article, we will discuss the applications of the Spectral element method (SEM) and Finite element Method (FEM) for fractional calculusThe so-called fractional Spectral element method (f-SEM) and fractional Finite element method (f-FEM) are crucial in various branches of science and play a significant role. In this review, we discuss the advantages and adaptability of FEM and SEM, which provide the simulations of fractional...
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Remarks on evaluation of spectral radius of operators arising in WR methods for linear systems of ODEs
PublicationW pracy omawiane są różne metody oszacowania promienia spektralnego. Do oszacowań tych użyto elementarnych metod. Jedną z nich jest metoda wykorzystująca normę Bieleckiego. Jedną z zalet takich metod wyraźnie widać na przykładzie równań różniczkowych z opóźnieniem, gdzie oszacowania promienia spektralnego zależą od charakteru opóźnienia.
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Analytical Methods
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Wind-wave variability in a shallow tidal sea—Spectral modelling combined with neural network methods
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Calculation of Vibrational Resonance Raman Spectra of Molecules Using Quantum Chemistry Methods
PublicationThe understanding and interpretation of experimental resonance Raman (RR) spectra can strongly benefit from theoretical simulations. These can be achieved by combining quantum chemistry (QC) methods to calculate the electronic and vibrational molecular properties, together with appropriate models and approximations to compute the Raman intensities. This chapter presents the main and most commonly employed approaches to calculate...
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Analysis of spectral data by complementary methods. Inspection of the molecular complex in N,N-dimethylformamide - methanol mixtures
PublicationDane widmowe FTIR mieszanin N,N-dimetyloformamidu z metanolem poddano anlizie faktorowej oraz analizie metodą ważonych widm różnicowych. Przydatność obu metod analizy w odniesieniu do układów z wiązaniem wodorowym poddano krytycznej dyskusji. Stwierdzono obecność kompleksu molekularnego typu 1:1 w całym zakresie składów mieszanin. Forma tego kompleksu zależy jednak od składu roztworu. Postulowano występowanie słabych wiązań wodorowych...
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Spectral Analysis of Capital Markets
PublicationIn this paper the problem of cycles existence in capital markets is addressed. A spectral analysis algorithm, which reduces signal-to-noise ratio, is proposed to derive cycle periodograms for the yield function of DJIA, WIG~20, and NIKKEI 225 indices. Peaks of the the periodograms provide premises to postulate the existence of some possible cycles. The 3.5 year periodicity in all 3 indices, which can be related to Kitchin cycle...
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The Conley index and spectral sequences
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The European Physical Journal-Special Topics
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Reprezentatywne dla danego języka spektra odpowiedzi impulsowej kanału głosowego [Language specific spectra generated in the human vocal tract]
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Determination of resonances by the optimized spectral approach
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The Maslov index and the spectral flow—revisited
PublicationWe give an elementary proof of a celebrated theorem of Cappell, Lee and Miller which relates the Maslov index of a pair of paths of Lagrangian subspaces to the spectral flow of an associated path of self-adjoint first-order operators. We particularly pay attention to the continuity of the latter path of operators, where we consider the gap-metric on the set of all closed operators on a Hilbert space. Finally, we obtain from Cappell,...
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On a comparison principle and the uniqueness of spectral flow
PublicationThe spectral flow is a well-known quantity in spectral theory that measures the variation of spectra about 0 along paths of selfadjoint Fredholm operators. The aim of this work is twofold. Firstly, we consider homotopy invariance properties of the spectral flow and establish a simple formula which comprises its classical homotopy invariance and yields a comparison theorem for the spectral flow under compact perturbations. We apply...
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Categorization of Wikipedia articles with spectral clustering
PublicationAbstract. The article reports application of clustering algorithms for creating hierarchical groups withinWikipedia articles.We evaluate three spectral clustering algorithms based on datasets constructed with usage ofWikipedia categories. Selected algorithm has been implemented in the system that categorize Wikipedia search results in the fly.
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Spectral splittings in the Conley index theory
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Spectral sequences and detailed connection matrices
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