scholarly journals An INverse COnvolution MEthod for wavenumber extraction (INCOME): Formulations and applications

2021 ◽  
pp. 116586
Author(s):  
R.F. Boukadia ◽  
C. Claeys ◽  
C. Droz ◽  
M. Ichchou ◽  
W. Desmet ◽  
...  
Keyword(s):  
Convolution Method

NON-NORMAL STATISTICAL TOLERANCE ANALYSIS USING ANALYTICAL CONVOLUTION METHOD

2008 ◽  
Vol 07 (01) ◽  
pp. 127-130 ◽  
Author(s):  
S. G. LIU ◽  
P. WANG ◽  
Z. G. LI
Keyword(s):  
Normal Distribution ◽  
Closed Loop ◽  
Tolerance Analysis ◽  
Accurate Method ◽  
Probability Density Functions ◽  
Triangular Distribution ◽  
Normal Distributions ◽  
Statistical Tolerance ◽  
Statistical Tolerance Analysis ◽  
Convolution Method

In statistical tolerance analysis, it is usually assumed that the statistical tolerance is normally distributed. But in practice, there are many non-normal distributions, such as uniform distribution, triangular distribution, etc. The simple way to analyze non-normal distributions is to approximately represent it with normal distribution, but the accuracy is low. Monte-Carlo simulation can analyze non-normal distributions with higher accuracy, but is time consuming. Convolution method is an accurate method to analyze statistical tolerance, but there are few reported works about it because of the difficulty. In this paper, analytical convolution is used to analyze non-normal distribution, and the probability density functions of closed loop component are obtained. Comparing with other methods, convolution method is accurate and faster.

scholarly journals On Dirichlet convolution method

1998 ◽  
Vol 21 (3) ◽  
pp. 607-611
Author(s):  
Indulata Sukla
Keyword(s):  
Summability Methods ◽  
Dirichlet Convolution ◽  
Convolution Method

In this paper we have proved limitation theorem for(D,h(n))summability methods and have shown that it is best possible.

scholarly journals About Liquid Filtration Under a Point Dam with a Vertical Weakly Permeable Film

2021 ◽  
Vol 16 (3) ◽  
pp. 69-74
Author(s):  
Efimova Irina A. ◽  
Keyword(s):  
Porous Medium ◽  
Half Plane ◽  
Horizontal Line ◽  
Filtration Process ◽  
Liquid Filtration ◽  
Fourier Expansions ◽  
Water Courses ◽  
Filtration Area ◽  
Homogeneous Porous Medium ◽  
Convolution Method

The problem of groundwater filtration under a point dam in a piecewise homogeneous porous medium in the presence of a weakly permeable film under the dam is considered. The filtration area is considered in the form of a vertical half-plane with a horizontal line of water courses. A weakly permeable film divides the filtration area into two quadrants with different constant permeability. By the convolution method of Fourier expansions, the solution of the problem is obtained explicitly. The influence of a weakly permeable film on the filtration process is investigated. It is shown that the presence of a weakly permeable film reduces the filtration rates in the downstream.

scholarly journals Modified convolution method to reconstruct particle hologram with an elliptical Gaussian beam illumination

2013 ◽  
Vol 21 (10) ◽  
pp. 12803 ◽  
Author(s):  
Xuecheng Wu ◽  
Yingchun Wu ◽  
Jing Yang ◽  
Zhihua Wang ◽  
Binwu Zhou ◽  
...  
Keyword(s):  
Gaussian Beam ◽  
Convolution Method

Integrated Power Recovery Using Markov Modeling

2010 ◽  
Author(s):  
Shawn Rodgers ◽  
Paul Nelson ◽  
Coral Betancourt ◽  
Ernie Kee ◽  
Fatma Yilmaz
Keyword(s):  
Power Supply ◽  
Integral Approach ◽  
Markov Modeling ◽  
Pressurized Water Reactor ◽  
Convolution Integral ◽  
Pressurized Water ◽  
Electric Power Supply ◽  
Alternative Methodology ◽  
Power Recovery ◽  
Convolution Method

The solution to a Markov chain modeling electric power supply to critical equipment in a typical 4-loop pressurized water reactor following a Loss of offsite power event is compared with a convolution method. The standard “convolution integral” approach is described, and an alternative methodology based on a Markov model is illustrated.

Renormalization Plus Convolution Method for Atomic-Scale Modeling of Electrical and Thermal Transport in Nanowires

Nano Letters ◽  
2008 ◽  
Vol 8 (12) ◽  
pp. 4205-4209 ◽  
Author(s):  
Chumin Wang ◽  
Fernando Salazar ◽  
Vicenta Sánchez
Keyword(s):  
Thermal Transport ◽  
Atomic Scale ◽  
Scale Modeling ◽  
Convolution Method
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