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Reliability conditions in quadrature algorithms

Gh Adam, S Adam, N.M Plakida
2003 Computer Physics Communications  
The detection of insufficiently resolved or ill-conditioned integrand structures is critical for the reliability assessment of the quadrature rule outputs.  ...  The proposed procedure is of the highest interest for the solution of parametric integrals arising in complex physical models.  ...  We may therefore assume that a study able to increase the reliability of the automatic adaptive quadrature algorithms for solving parametric integrals in connection with the exploration of physical models  ... 
doi:10.1016/s0010-4655(03)00282-0 fatcat:7errvxuatbckjjmj442nmfto2m

Page 1282 of Mathematical Reviews Vol. 54, Issue 4 [page]

1977 Mathematical Reviews  
In this series of papers the author studies the rate of convergence of parallel algorithms for adaptive quadrature. This extends and draws upon concepts introduced in the author’s work [J. Assoc.  ...  Rice, John R. 9058b Parallel algorithms for adaptive quadrature. II. Metalgorithm correctness. Acta Informat. 5 (1975), no. 4, 273-285.  ... 

A Review of Speed Estimation Algorithms for Incremental Optical Encoder

Madhusudan Bang, S.D Patil
2015 International Journal of Innovative Research in Science, Engineering and Technology  
cause deviation in actual velocity .In this review paper various techniques for velocity estimation algorithms discussed for electric drives which reduces maximum relative error arrives in measurement  ...  Incremental Quadrature encoder provides useful feedback information about motor positioning essential in open as well as closed loop control systems.  ...  Ensures a reduced relative error since in dynamic conditions the error in the measurement of angular velocity with an encoder strictly concern with observation time, a correct method for dimensioning time  ... 
doi:10.15680/ijirset.2015.0409028 fatcat:dqhn46g7nrdyzlwopgu2rztoiu

Page 394 of Mathematical Reviews Vol. , Issue 87a [page]

1987 Mathematical Reviews  
The authors dis- cuss how to implement the quadrature algorithm in applications where p,d are unknown and present examples in which some stan- dard improper integrals are approximated to 10~® accuracy  ...  The accompanying Algorithm 614 is a FORTRAN subroutine which allows the user to implement the above quadrature algorithm.  ... 

Page 1974 of Mathematical Reviews Vol. , Issue 84e [page]

1984 Mathematical Reviews  
The author suggests that the value e is a good error estimate for 4, and establishes conditions under which it is reliable. Several practical consequences are pursued and examples given.  ...  Some remarks on computing &,,(f) in a simple way are given.” Laurie, D. P. error estimates in adaptive quadrature. BIT 23 (1983), no. 2, 258-261.  ... 

Increasing the Reliability of Adaptive Quadrature Using Explicit Interpolants

Pedro Gonnet
2010 ACM Transactions on Mathematical Software  
We present two new adaptive quadrature routines.  ...  The main focus of these improvements is to increase the reliability of the algorithms without significantly impacting their efficiency.  ...  IB7320-111079/1, 2005-2008) "New Methods for Quadrature", provided not only valuable answers, but also the right questions, as well as to Gaston Gonnet for his input on several topics regarding the algorithms  ... 
doi:10.1145/1824801.1824804 fatcat:gy6qmigygvb3bevy2o24b34h6y

Page 5069 of Mathematical Reviews Vol. , Issue 93i [page]

1993 Mathematical Reviews  
For all weakly singular integrals arising in BEM, Duffy’s triangular or local polar coordinates in conjunction with tensor product Gaussian quadrature are efficient and reliable for both h- and p-boundary  ...  Summary: “Adaptive quadrature algorithms have the property that their behaviour is tailored to the integrand. Such algorithms may be adaptive in two ways.  ... 

Page 1730 of Mathematical Reviews Vol. , Issue 90C [page]

1990 Mathematical Reviews  
On the basis of this discussion we suggest different actions to be taken in order to improve the reliability of the quadrature routine. In numerical experiments we study how these new error estimates  ...  Summary: “We discuss various ways of improving the reliability of adaptive multidimensional quadrature routines.  ... 

Recent advances in phase-locked loop based synchronization methods for inverter-based renewable energy sources

Haval Sardar Kamil, Dalila Mat Said, Mohd Wazir Mustafa, Mohammad Reza Miveh, Nasarudin Ahmad
2020 Indonesian Journal of Electrical Engineering and Computer Science  
<p>Recently, researchers have shown an increased interest in renewable energy sources (RESs) to improve power quality, reliability and stability of the power system.  ...  Moreover, the control of them relies mainly on the synchronization algorithms to precisely detect the voltage phase angle, magnitude and frequency.  ...  in typical grid conditions.  ... 
doi:10.11591/ijeecs.v18.i1.pp1-8 fatcat:pipn44zntncqtcb3x3lwdpfoom

Disentangling Complexity in Bayesian Automatic Adaptive Quadrature

Gheorghe Adam, Sanda Adam, Gh. Adam, J. Buša, M. Hnatič, D. Podgainy
2018 EPJ Web of Conferences  
The paper describes a Bayesian automatic adaptive quadrature (BAAQ) solution for numerical integration which is simultaneously robust, reliable, and efficient.  ...  provided of three main factors which contribute to the enhancement of these features: (1) refinement of the m-panel automatic adaptive scheme through the use of integration-domain-length-scale-adapted quadrature  ...  The essential requirements to the BAAQ algorithms are robustness, reliability, and efficiency under floating point computations. Their implementation asks for three main BAAQ developments.  ... 
doi:10.1051/epjconf/201817301001 fatcat:w2lknydkr5eivka4zbuz2f3ahi

A Novel Hybrid Fuzzy Controller for Grid Connected DFIG Wind System

Andra Sridevi
2017 International Journal for Research in Applied Science and Engineering Technology  
The grid side converter (GSC) is controlled in such a way to guarantee a smooth DC voltage and ensure sinusoidal current in the grid side.  ...  The proposed control algorithm is applied to a doubly fed induction generator (DFIG) whose stator is directly connected to the grid and the rotor is connected to the grid through a back-to-back AC-DC-AC  ...  The control algorithms are presented in Fig.2 . Fig.1. Proposed System Configuration III.  ... 
doi:10.22214/ijraset.2017.8269 fatcat:fbmjowdkxzfinfdcczezbbmbyy

Computation of accurate solutions when using element-free Galerkin methods for solving structural problems

Grand Roman Joldes, Peter Teakle, Adam Wittek, Karol Miller
2017 Engineering computations  
An adaptive quadrature algorithm which allows user control over integration accuracy, previously developed for integrating boundary value problems, is adapted to elasticity problems.  ...  This paper investigates the application of adaptive integration in element-free Galerkin methods for solving problems in structural and solid mechanics in order to obtain accurate reference solutions.  ...  This strong correlation suggests the adaptive quadrature algorithm is highly reliable and responsive to decreases in relative integration error tolerance.Fig. 5shows the increase in number of integration  ... 
doi:10.1108/ec-01-2016-0017 fatcat:uv7axglmevf67pbut2bn5dxwqq

Lord–Wingersky Algorithm Version 2.0 for Hierarchical Item Factor Models with Applications in Test Scoring, Scale Alignment, and Model Fit Testing

Li Cai
2014 Psychometrika  
In principle, the Lord-Wingersky algorithm can be defined on a set of quadrature points that are formed by directproducts of unidimensional quadrature points.  ...  Applying Equation (12) to results in Table 9 , the marginal reliability of the scaled scores for the primary dimension is equal to 0.47.  ... 
doi:10.1007/s11336-014-9411-3 pmid:25233839 pmcid:PMC4366368 fatcat:2jaxqr6k4ja2ticp3zaphda6te

Algorithms to numerically evaluate the Hankel transform

M.J. Cree, P.J. Bones
1993 Computers and Mathematics with Applications  
This paper reviews a number of algorithms that have only recently been exposed in the literature. Results of a comparative study of some useful algorithms are presented.  ...  The projection based methods provide acceptable with better efficiency than numerical quadrature.  ...  tested, that this provides a reliable condition.  ... 
doi:10.1016/0898-1221(93)90081-6 fatcat:b7z7ezngyfbnpktldgfeohif34

Page 7285 of Mathematical Reviews Vol. , Issue 90M [page]

1990 Mathematical Reviews  
An equivalence theorem for a quadrature rule provides sufficient and necessary conditions for a rate of convergence of the rule in terms of smoothness conditions on the integrand.  ...  He derives a conditional av- erage error criterion for quadratures which have derivative-bound error estimates.  ... 
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