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Wyświetlanie 1-15 z 92
Tytuł:
A novel hybrid iterative method for applied mathematical models with time-efficiency
Autorzy:
Jamali, Khalid
Solangi, Muhammad Anwar
Qureshi, Sania
Powiązania:
https://bibliotekanauki.pl/articles/2202025.pdf
Data publikacji:
2022
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
nonlinear equation
computational order
efficiency index
convergence order
Newton’s method
równanie nieliniowe
Opis:
Non-linear phenomena appear in many fields of engineering and science. Research on numerical methods is continually extending with the improvement of the latest computing tools. In today’s computational field, one requires maximum achievement in a minimum amount of time. Therefore, there is a need to modify the Newton-type method to achieve higher-order convergence to solve non-linear equations. While the modified methods are expected to be higher-order convergent, the minor computational information and the maximum time efficiency are also important factors. We propose a three-step hybrid iterative method having a non-linear nature. Per iteration, the method requires three function evaluations and three first-order derivatives. The method is theoretically proven to be tenth-order convergent. The mathematical results of the proposed strategy to solve models from fluid dynamics, electric field, and real gases demonstrated better performance. In light of error analysis, computational productivity, and CPU times, the proposed method’s performance is compared to the famous Newton and a recently proposed tenth-order method.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 19--29
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Rapid Monitoring Method for Natural Gas Safety Monitoring
Autorzy:
Li, Rongli
Fan, Yuexin
Powiązania:
https://bibliotekanauki.pl/articles/1844534.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
trend judgment
CUSUM
Dempster-Shafer evidence theory
Gauss-Newton nonlinear fitting
fast alarm monitoring
concentration prediction
Opis:
The quick leakage alarm and the accurate concentration prediction are two important aspects of natural gas safety monitoring. In this paper, a rapid monitoring method of sensor data sharing, rapid leakage alarm and simultaneous output of concentrations prediction is proposed to accelerate the alarm speed and predict the possible impact of leakage. In this method, the Dempster-Shafer evidence theory is used to fuse the trend judgment and the CUSUM (cumulative sum) and the Gauss-Newton iteration is used to predict the concentration. The experiment system based on the TGS2611 natural gas sensor was built. The results show that the fusion method is significantly better than the single monitoring method. The alarm time of fusion method was more advanced than that of the CUSUM method and the trend method (being averagely, 10.4% and 7.6% in advance in the CUSUM method and the trend method respectively). The relative deviations of the predicted concentration were the maximum (13.3%) at 2000 ppm (parts per million) and the minimum (0.8%) at 6000 ppm, respectively.
Źródło:
International Journal of Electronics and Telecommunications; 2021, 67, 3; 325-330
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Efficiency and Convergence of Bisection, Secant, and Newton Raphson Methods in Estimating Implied Volatility
Autorzy:
Mahrudinda, Mahrudinda
Munandar, Devi
Purwani, Sri
Powiązania:
https://bibliotekanauki.pl/articles/1193324.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Black-Scholes model
Newton Raphson
bisection
secant
volatility
volatility implied
Opis:
This study aims to estimate volatility prices based on the black-Scholes model (BSM) function with research data taken during the COVID-19 pandemic. The estimates of the volatility values are obtained by using three numerical methods, namely the bisection, secant, and Newton Raphson methods. The numerical processes that produce some iteration results in the three methods are then analyzed and the best convergence is sought. As a result, Newton Raphson method produces the smallest number of iterations, which stops at the 3rd iteration and gets a volatility value of 0.500451 with an absolute error value of 0.000388. However, the method requires an initial approximation which lies only in two intervals on the axis σ which are close to the true root. Meanwhile, for the other two methods, namely Bisection and Secant, this limitation does not apply, as long as there is an interval that guarantees the existence of roots. In this case, bisection method requires11 iterations to converge with volatility value of 0.500342 and error value of 0.000878. Whereas secant method requires 4 iterations to converge with a volatility value of 0.500449 and error value of 1.68938E-05. This suggests, that in some cases the use of Newton method, should be initialized with the use of bisection or secant method, to ensure successful iteration and accelerate the rate of convergence.
Źródło:
World Scientific News; 2021, 153, 2; 157-168
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Empiryczna ocena dokładności zwykłych wzorów dendrometrycznych dla strzał bez kory modrzewia europejskiego Larix decidua Mill.
Empirical evaluation of the accuracy of dendrometric formulas for European larch Larix decidua Mill. stems without bark
Autorzy:
Hawranik, L.
Tomusiak, R.
Powiązania:
https://bibliotekanauki.pl/articles/2136065.pdf
Data publikacji:
2021
Wydawca:
Instytut Badawczy Leśnictwa
Tematy:
lesnictwo
dendrometria
modrzew europejski
Larix decidua
miazszosc strzaly bez kory
bledy procentowe wtorne
wzor srodkowego przekroju
wzor Smaliana
wzor Gieruszynskiego
wzor Hossfelda
wzor francuski
wzor Rieckiego-Newtona
wzor dwupolowkowy
wzor kupiecki
volume
secondary percentage errors
Huber’s formula
Smalian’s formula
Gieruszyński’s formula
Hossfeld’s
formula
French formula
Rieckie-Newton’s formula
two-halfs formula
merchant’s formula
Opis:
To determine the volume of felled trees, dendrometric formulas are used that are the product of a specific cross-section and the length of a dendrometric solid. In order to apply these formulas on a larger scale, it is essential to know their accuracy. Most of the research on the accuracy of dendrometric formulas has been carried out using Scots pine with other tree species, including European larch Larix decidua Mill., often being overlooked. The aim of this study was to assess the accuracy of eight common dendrometric formulas for stems of European larch without bark. The research material consisted of 290 larch stems from two forest districts (Pińczów and Prudnik), representing trees from age classes II to V and older. The following formulas were observed to be highly accurate: Huber’s, French, Hossfeld’s, Gieruszynski’s and the two-halfs formula. Huber’s formula provided the mean value of percentage errors closest to zero (0.8%) and was the most accurate for- mula, whereas the two-halfs formula, showed the lowest variability of percentage errors (standard deviation 3.1%). However, all formulas tended to generate systematic errors with the merchant’s and two-halfs formulas underestimating the volume, while the others overestimated the volume. Most of the formulas ́ accuracy was uniform across the different age classes with the exception of the Smalian’s and Rieckie- -Newton’s formulas, that were significantly less accurate when applied to the V and older age classes, and the merchant’s formu- la, characterized by greater accuracy in the V and older age classes. Pair-wise comparisons of the formulas ́ accuracy revealed significant differences between most of the analyzed pairs of formulas though no differences were found between the French and Gieruszynski, French and Hossfeld, Gieruszynski and Hossfeld, Gieruszynski and Huber formulas as well as between the Hossfeld and Huber formulas.
Źródło:
Leśne Prace Badawcze; 2021, 82, 3; 101-110
1732-9442
2082-8926
Pojawia się w:
Leśne Prace Badawcze
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization Method Based on Minimization M-Order Central Moments Used In Surveying Engineering Problems
Autorzy:
Cellmer, Sławomir
Bobojć, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/2069748.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Warmińsko-Mazurski w Olsztynie
Tematy:
Least Squares method
Newton method
objective function
m-estimation
surveying engineering
Opis:
A new optimization method presented in this work – the Least m-Order Central Moments method, is a generalization of the Least Squares method. It allows fitting a geometric object into a set of points in such a way that the maximum shift between the object and the points after fitting is smaller than in the Least Squares method. This property can be very useful in some engineering tasks, e.g. in the realignment of a railway track or gantry rails. The theoretical properties of the proposed optimization method are analyzed. The computational problems are discussed. The appropriate computational techniques are proposed to overcome these problems. The detailed computational algorithm and formulas of iterative processes have been derived. The numerical tests are presented, in order to illustrate the operation of proposed techniques. The results have been analyzed, and the conclusions were then formulated.
Źródło:
Technical Sciences / University of Warmia and Mazury in Olsztyn; 2021, 24(1); 39--49
1505-4675
2083-4527
Pojawia się w:
Technical Sciences / University of Warmia and Mazury in Olsztyn
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization model the pipe diameter in the drinking water distribution network using multi-objective genetic algorithm
Autorzy:
Sulianto, -
Setiono, Ernawan
Yasa, I. Wayan
Powiązania:
https://bibliotekanauki.pl/articles/1844381.pdf
Data publikacji:
2021
Wydawca:
Instytut Technologiczno-Przyrodniczy
Tematy:
diameter
genetic algorithm
network
Newton Raphson method
optimum
pipe
Opis:
Under conditions of gravity flow, the performance of a distribution pipe network for drinking water supply can be measured by investment cost and the difference in real and target pressures at each node to ensure fairness of the service. Therefore, the objective function for the optimization in the design of a complex gravity flow pipe network is a multi-purpose equation system set up to minimize the above-mentioned two parameters. This article presents a new model as an alternative solution to solving the optimization equation system by combining the Newton–Raphson and genetic algorithm (GA) methods into a single unit so that the resulting model can work effectively. The Newton–Raphson method is used to solve the hydraulic equation system in pipelines and the GA is used to find the optimal pipe diameter combination in a network. Among application models in a complex pipe network consisting of 12 elements and 10 nodes, this model is able to show satisfactory performance. Considering variations in the value of the weighting factor in the objective function, opti-mal conditions can be achieved at the investment cost factor (ω1) = 0.75 and the relative energy equalization factor at the service node (ω2) = 0.25. With relevant GA input parameters, optimal conditions are achieved at the best fitness value of 1.016 which is equivalent to the investment cost of USD 56.67 thous. with an average relative energy deviation of 1.925 m.
Źródło:
Journal of Water and Land Development; 2021, 48; 55-64
1429-7426
2083-4535
Pojawia się w:
Journal of Water and Land Development
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Predicting in multivariate incomplete time series. Application of the expectation-maximisation algorithm supplemented by the Newton-Raphson method
Autorzy:
Korczyński, Adam
Powiązania:
https://bibliotekanauki.pl/articles/1806793.pdf
Data publikacji:
2021-08-24
Wydawca:
Główny Urząd Statystyczny
Tematy:
missing data
multivariate time series
expectation-maximisation algorithm
Newton-Raphson algorithm
Opis:
Statistical practice requires various imperfections resulting from the nature of data to be addressed. Data containing different types of measurement errors and irregularities, such as missing observations, have to be modelled. The study presented in the paper concerns the application of the expectation-maximisation (EM) algorithm to calculate maximum likelihood estimates, using an autoregressive model as an example. The model allows describing a process observed only through measurements with certain level of precision and through more than one data series. The studied series are affected by a measurement error and interrupted in some time periods, which causes the information for parameters estimation and later for prediction to be less precise. The presented technique aims to compensate for missing data in time series. The missing data appear in the form of breaks in the source of the signal. The adjustment has been performed by the EM algorithm to a hybrid version, supplemented by the Newton-Raphson method. This technique allows the estimation of more complex models. The formulation of the substantive model of an autoregressive process affected by noise is outlined, as well as the adjustment introduced to overcome the issue of missing data. The extended version of the algorithm has been verified using sampled data from a model serving as an example for the examined process. The verification demonstrated that the joint EM and Newton-Raphson algorithms converged with a relatively small number of iterations and resulted in the restoration of the information lost due to missing data, providing more accurate predictions than the original algorithm. The study also features an example of the application of the supplemented algorithm to some empirical data (in the calculation of a forecasted demand for newspapers).
Źródło:
Przegląd Statystyczny; 2021, 68, 1; 17-46
0033-2372
Pojawia się w:
Przegląd Statystyczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Prediction of primary energy flow considering its stochastic nature
Symulacja pierwotnego przepływu energii z uwzględnieniem jego stochastycznej natury
Autorzy:
Klen, Kateryna
Martynyuk, Vadym
Yaremenko, Mykhailo
Powiązania:
https://bibliotekanauki.pl/articles/2056433.pdf
Data publikacji:
2021
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Napędów i Maszyn Elektrycznych Komel
Tematy:
distributed generation
wind generators
Heisenberg’s uncertainty principle
prediction
Newton
interpolation polynomials
generacja rozproszona
generator wiatrowy
zasada nieoznaczoności Heisenberga
prognozy
wielomiany interpolacyjne Newtona
Opis:
In the article the prediction of wind speed values by Newton interpolation polynomials is made. It is mentioned that effective operation of the wind power station is realized by predictive control on the basic interval according to the predictor–corrector method. Equations for Newton interpolation polynomials are given. The fluctuations of the wind speed deviations occur random so can be described with Wiener process. An ex ample of wind speed deviations, described with Wiener process, is shown. Equation to estimate the prediction error is given. The results of wind speed values prediction taking into ac-count the Wiener process that simulates its fluctuations are shown. The wind speed prediction for 1 hour in advance without taking into account the Wiener process is shown depending on the degree of the interpolation polynomial. The prediction errors at different degrees of the interpolation polynomials and the prediction for different number of hours in advance are given. It is noted that with the removal of a random component in the form of Wiener process, the average error of the prediction decreases.
W artykule dokonano symulacji wartości prędkości wiatru na podstawie wielomianów interpolacyjnych Newtona. Wspomniano, że efektywna praca elektrowni wiatrowej realizowana jest poprzez kontrolę predykcyjną w podstawowym przedziale zgodnie z metodą predykcyjno-korektorową. Podano równania dla wielomianów interpolacyjnych Newtona. Fluktuacje odchyleń prędkości wiatru występują losowo, dlatego można je opisać w procesie Wienera. Pokazano przykład odchyleń prędkości wiatru, opisany w procesie Wienera. Podano równanie do oszacowania błędu prognozowania. Pokazano wyniki symulacji prędkości wiatru z uwzględnieniem procesu Wienera, który symuluje jego fluktuacje. Prognozę prędkości wiatru z 1-godzinnym wyprzedzeniem bez uwzględnienia procesu Wienera pokazano w zależności od stopnia wielomianu interpolacji. Podano błędy prognozowania dla różnych stopni wielomianów interpolacyjnych i przewidywania dla różnej liczby godzin wcześniej. Należy zauważyć, że wraz z usunięciem elementu losowego w postaci procesu Wienera zmniejsza się średni błąd prognozy.
Źródło:
Maszyny Elektryczne: zeszyty problemowe; 2021, 1, 125; 107--110
0239-3646
2084-5618
Pojawia się w:
Maszyny Elektryczne: zeszyty problemowe
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Engineering interests and inventions of Isaac Newton
Autorzy:
Rodzeń, Jacek
Powiązania:
https://bibliotekanauki.pl/articles/783330.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Umiejętności
Tematy:
Isaac Newton, engineering, scientific instruments, steam engine, history of navigation, 17th century science
Isaac Newton, inżynieria, przyrządy naukowe, maszyna parowa, historia nawigacji, siedemnasty wiek
Opis:
The paper presents engineering interests of Isaac Newton, including some of his technical inventions. So far, this topic has not been studied in a broader manner and in more depth. This article discusses Newton’s youthful passions against the backdrop of the so-called mathematical magic literature. His two inventions, i.e. variants of the reflecting telescope and the marine octant are also discussed. Finally, an example is provided of the involvement of the author of Principia in a discussion around the steam engine and the ship powered by such engine designed by Denis Papin.
Artykuł przedstawia zainteresowania inżynierskie Isaaca Newtona, w tym niektóre z jego wynalazków technicznych. Temat ten nie doczekał się jak dotąd szerszego i pogłębionego opracowania. W artykule poruszono młodzieńcze pasje Newtona na tle literatury z zakresu tzw. magii matematycznej. Omówiono także dwa wynalazki Newtona – wariant teleskopu zwierciadłowego i oktant morski. Na koniec został przytoczony przykład zaangażowania autora Zasad w dyskusję nad projektem technicznym maszyny parowej i napędzanego przez nią statku autorstwa Denisa Papina.
Źródło:
Studia Historiae Scientiarum; 2020, 19
2451-3202
Pojawia się w:
Studia Historiae Scientiarum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Load flow and contingency analysis for transmission line outage
Autorzy:
Aeggegn, Dessalegn Bitew
Salau, Ayodeji Olalekan
Gebru, Yalew
Powiązania:
https://bibliotekanauki.pl/articles/140622.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
contingency analysis
DIgSILENT software
line outage
Newton Raphson method
Opis:
In recent years, power systems have been pushed to operate above their limits due to the increase in the demand for energy supply and its usage. This increase is accompanied by various kinds of obstructions in power transmission systems. A power system is said to be secured when it is free from danger or risk. Power systems security deals with the ability of the system to withstand any contingencies without any consequences. Contingencies are potentially harmful disturbances which occur during the steady state operation of a power system. Load flow constitutes the most important study in a power system for planning, operation, and expansion. Contingency selection is performed by calculating two kinds of performance indices; an active performance index (PIP) and reactive power performance index (PIV) for a single transmission line outage. In this paper, with the help of the Newton Raphson method, the PIP and PIV were calculated with DIgSILENT Power Factory simulation software and contingency ranking was performed. Based on the load flow results and performance indexes, the Ethiopian Electric Power (EEP) North-West region network is recommended for an upgrade or the reactive power or series compensators should be constructed on the riskiest lines and substations.
Źródło:
Archives of Electrical Engineering; 2020, 69, 3; 581-594
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nearly irreducibility of polynomials and the Newton diagrams
Autorzy:
Masternak, Mateusz
Powiązania:
https://bibliotekanauki.pl/articles/1793463.pdf
Data publikacji:
2020-01-22
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
irreducibility of polynomials
Newton diagram
Newton polygon
plane algebraic curve
Opis:
Let f be a polynomial in two complex variables. We say that f is nearly irreducible if any two nonconstant polynomial factors of f have a common zero in $C^{2}$. In the paper we give a criterion of nearly irreducibility for a given polynomial f in terms of its Newton diagram.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2020, 19; 65-77
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oktant morski Isaaca Newtona
Isaac Newton’s marine octant
Autorzy:
Rodzeń, Jacek
Powiązania:
https://bibliotekanauki.pl/articles/2089504.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
Tematy:
Newton Isaac
octant
navigational instruments in the 17th century
Newton Izaak
oktant
przyrządy nawigacyjne w XVII wieku
Opis:
Isaac Newton is known primarily as an outstanding mathematician and physicist. Less known are his interests in alchemy, theology, and history. Yet, we still know very little about his interest in engineering and about how he designed and created several scientific instruments (e.g. a variant of the reflecting telescope, a variant of the rotary slide rule). Among them, there is also a navigational octant built by Newton in 1699. This device is an example of an ingenious solution in the field of early modern catadioptrical instruments.
Źródło:
Kwartalnik Historii Nauki i Techniki; 2020, 65, 3; 77--94
0023-589X
2657-4020
Pojawia się w:
Kwartalnik Historii Nauki i Techniki
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A New Approach for Solving Intuitionistic Dual Fuzzy Nonlinear Fractional Transportation Problem
Autorzy:
Anju, A.
Anukokila, P.
Powiązania:
https://bibliotekanauki.pl/articles/1068615.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Dual
Intuitionistic Fuzzy
Newton Raphson Method
Nonlinear Equations
Opis:
In this paper a new approach is explained for solving intuitionistic dual fuzzy fractional nonlinear equations. Here we have suggested a numerical method for solving a dual fuzzy nonlinear fractional equations instead of standard analytical techniques which are not suitable everywhere. Initially we wrote a dual fuzzy non-linear fractional equations in parametric form and then solve it by iterative method. An illustrative example is given to show the efficiency of our approach.
Źródło:
World Scientific News; 2019, 132; 220-232
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On rational functions related to algorithms for a computation of roots. II
Autorzy:
Baran, Mirosław
Powiązania:
https://bibliotekanauki.pl/articles/93140.pdf
Data publikacji:
2019
Wydawca:
Państwowa Wyższa Szkoła Zawodowa w Tarnowie
Tematy:
iterative method
Newton method
rational function
metoda iteracyjna
metoda Newtona
funkcja wymierna
Opis:
We discuss a nice composition properties related to algorithms for computation of N-roots. Our approach gives direct proof that a version of Newton's iterative algorithm is of order 2. A basic tool used in this note are properties of rational function Φ(w; z) = z-w/(z+w), which was used earlier in [1] in the case of algorithms for computations of square roots.
Źródło:
Science, Technology and Innovation; 2019, 7, 4; 26-29
2544-9125
Pojawia się w:
Science, Technology and Innovation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The theory of the Newton’s law of universal gravitation as a phenomenon of repulsion describing the proper state of the existing universe
Autorzy:
Borowski, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/1075708.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Borowski’s Theory of Gravitation
Copernicus
Einstein
Newton
classical theory of gravitation
dark matter
dark matter pressure
pseudo-gravity
quantum theory of gravity
repulsion
Opis:
The paper describes the logical and at the same time the proper theory of the Newton’s law of universal gravitation in the universe. It presents the observed principles of “attraction” as a phenomenon of repulsion based on the difference of dark matter pressure. This paper proves in theory that the phenomenon of “gravitation”, as a phenomenon of attraction, does not exist (no mechanisms) and is mistakenly confused with the phenomenon of repulsion.
Źródło:
World Scientific News; 2019, 119; 218-223
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
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