Chebyshev method

2002 ◽  
pp. 39-100 ◽  
Author(s):  
Roger Peyret
Keyword(s):  
Chebyshev Method

Calculation of rightmost eigenvalues in power systems using the block Arnoldi Chebyshev method (BACM)

2003 ◽  
Vol 150 (1) ◽  
pp. 23 ◽  
Author(s):  
B. Lee ◽  
H. Song ◽  
S.-H. Kwon ◽  
D. Kim ◽  
K. Iba ◽  
...  
Keyword(s):  
Power Systems ◽  
Chebyshev Method ◽  
Block Arnoldi

Design of laminated conical shells using spectral Chebyshev method and lamination parameters

2021 ◽  
pp. 114969
Author(s):  
Peiman Khandar Shahabad ◽  
Mirmeysam Rafiei Anamagh ◽  
Bekir Bediz
Keyword(s):  
Lamination Parameters ◽  
Conical Shells ◽  
Chebyshev Method ◽  
Laminated Conical Shells

scholarly journals Fluence Rate in UV Photoreactor for Disinfection of Water: Isotropically Radiating Cylinder

2014 ◽  
Vol 2014 ◽  
pp. 1-13
Author(s):  
Roman Ilinsky ◽  
Andrey Ulyanov
Keyword(s):  
Numerical Integration ◽  
Light Source ◽  
Uv Radiation ◽  
Infinite Length ◽  
Fluence Rate ◽  
Chebyshev Method ◽  
Limiting Case

The calculation of fluence rate in the photochemical reactor using ultraviolet (UV) radiation for disinfection of water for the case, when a cylinder of infinite length is used as a light source, has been considered. Such a cylinder is filled with an isotropically radiating medium. The dependence of the fluent rate on the diameter of the radiating cylinder has been analytically analyzed. The limiting case when the diameter of the radiating cylinder tends to zero has been considered and the notion of “effective interval” has been introduced. Based on this notion, the comparison of fluence rates for the cylinders of finite and infinite lengths has been performed. In the calculations of fluence rate, it is advisable to use the Chebyshev method for the operations of numerical integration.

scholarly journals Identification and Classification of Pathogenic Bacteria Using the K-Nearest Neighbor Method

2021 ◽  
Vol 5 (1) ◽  
pp. 60-70
Author(s):  
Diana Rahmawati ◽  
Mutiara Puspa Putri I ◽  
Miftachul Ulum ◽  
Koko Joni
Keyword(s):  
Pathogenic Bacteria ◽  
Nearest Neighbor ◽  
Ocular Lens ◽  
K Nearest Neighbor ◽  
Image Capture ◽  
Chebyshev Method ◽  
Living Things ◽  
Auto Focus ◽  
The Government

Bacteria are a group of living things or organisms that do not have a core covering. In the grouping, some bacteria are pathogenic. With a microscopic size, many pathogenic bacteria are found around and spread through the food eaten or by touching objects around them, then cause diseases such as diarrhea, vomiting, and others. As a more effective effort to help the government and society prevent disease caused by pathogenic bacteria, a system for the identification and classification of pathogenic bacteria K-Nearest Neighbor was created. This system uses a biological microscope that is attached to a webcam camera above the ocular lens as a tool to see bacterial objects and assist in bacterial capture. Rough player rotates automatically (auto-focus) in image capture. In the process of classification and identifying bacteria, the K-Nearest Neighbor method is used, which is a method with the calculation of the nearest neighbor or calculation based on the level of similarity to the dataset. In this study, the bacteria vibrio chlorae, staphylococcus aereus, and streptococcus m. with the highest accuracy is the K = 9 value of 97.77% using the Chebyshev method.

scholarly journals Extension of the Chebyshev Method of Quassi-Linear Parabolic P.D.E.S With Mixed Boundary Conditions

2009 ◽  
Vol 6 (3) ◽  
pp. 603-611
Author(s):  
Baghdad Science Journal
Keyword(s):  
Error Analysis ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Linear Problem ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Numerical Examples ◽  
Chebyshev Method

The researcher [1-10] proposed a method for computing the numerical solution to quasi-linear parabolic p.d.e.s using a Chebyshev method. The purpose of this paper is to extend the method to problems with mixed boundary conditions. An error analysis for the linear problem is given and a global element Chebyshev method is described. A comparison of various chebyshev methods is made by applying them to two-point eigenproblems. It is shown by analysis and numerical examples that the approach used to derive the generalized Chebyshev method is comparable, in terms of the accuracy obtained, with existing Chebyshev methods.

Chebyshev method for Helmholtz equation

1988 ◽  
Vol 71 (1) ◽  
pp. 37-42
Author(s):  
D. P. Krasoń ◽  
M. Szuman
Keyword(s):  
Helmholtz Equation ◽  
Chebyshev Method
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