An implementation of direct linear equation solver using a many-core CPU for mechanical dynamic analysis

2017 ◽  
Vol 31 (10) ◽  
pp. 4637-4645
Author(s):  
Ji-Hyun Jung ◽  
Dae-Sung Bae
Keyword(s):  
Dynamic Analysis ◽  
Linear Equation ◽  
Many Core ◽  
Linear Equation Solver

scholarly journals Dynamic Analysis of Social Distancing Ratio, Isolation Rate and Transmission Coefficient in COVID-19 Epidemic for Many Countries by SIQR Model

2020 ◽  
Author(s):  
Koichi Hashiguchi
Keyword(s):  
South Korea ◽  
Dynamic Analysis ◽  
Linear Equation ◽  
Transmission Coefficient ◽  
Exponential Function ◽  
Sir Model ◽  
Isolation Rate ◽  
Social Distancing ◽  
Western Countries

Recently SIQR model was proposed by Odagaki as the modification of conventional SIR model by adding the term for isolation of infected persons, Q(Quarantined). The exponent λ of the exponential function expressing the number of newly tested positive persons was defined as an linear equation explicitly with three important parameters, transmission coefficient, social distancing ratio x and isolation rate q. In this study, applying this model to the number of positive persons in publicly available database, daily λ values are regression analyzed, and social distancing ratio and isolation rate are derived. Analyses for 7 countries including Japan, Taiwan, South Korea, and western countries are performed and determine the dynamic locus of q-x relation on the q-x plane during epidemic propagation. Finally, the remaining parameter, the transmission coefficient is shown to closely relate to the maximum λ, λmax, and λmax (transmission coefficient) is characterized as a specific value for each country. Then, the magnitude of λmax is combined with the value of λmin to influence the total number of new cases until the convergence stage.

scholarly journals Mixed-precision AMG as linear equation solver for definite systems

2010 ◽  
Vol 1 (1) ◽  
pp. 175-183 ◽  
Author(s):  
Maximilian Emans ◽  
Albert van der Meer
Keyword(s):  
Linear Equation ◽  
Mixed Precision ◽  
Linear Equation Solver

Finite-Time Distributed Linear Equation Solver for Solutions With Minimum $l_1$-Norm

2020 ◽  
Vol 65 (4) ◽  
pp. 1691-1696 ◽  
Author(s):  
Jingqiu Zhou ◽  
Xuan Wang ◽  
Shaoshuai Mou ◽  
Brian. D. O. Anderson
Keyword(s):  
Linear Equation ◽  
Finite Time ◽  
Linear Equation Solver
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