Linear Equations with Slowly Varying Coefficients

2013 ◽  
pp. 157-164
Author(s):  
Michael I. Gil’
Keyword(s):  
Linear Equations ◽  
Varying Coefficients

Towards Textbook Efficiency for Parallel Multigrid

2015 ◽  
Vol 8 (1) ◽  
pp. 22-46 ◽  
Author(s):  
Björn Gmeiner ◽  
Ulrich Rüde ◽  
Holger Stengel ◽  
Christian Waluga ◽  
Barbara Wohlmuth
Keyword(s):  
Finite Element ◽  
Saddle Point ◽  
Large Scale ◽  
Performance Modeling ◽  
Linear Equations ◽  
Massively Parallel ◽  
Classical View ◽  
Varying Coefficients ◽  
Modeling Techniques

In this work, we extend Achi Brandt's notion of textbook multigrid efficiency (TME) to massively parallel algorithms. Using a finite element based geometric multigrid implementation, we recall the classical view on TME with experiments for scalar linear equations with constant and varying coefficients as well as linear systems with saddle-point structure. To extend the idea of TME to the parallel setting, we give a new characterization of a work unit (WU) in an architecture-aware fashion by taking into account performance modeling techniques. We illustrate our newly introduced parallel TME measure by large-scale computations, solving problems with up to 200 billion unknowns on a TOP-10 supercomputer.

Stability Criteria for Linear Equations with Time-Varying Coefficients

1956 ◽  
Vol 60 (543) ◽  
pp. 205-208 ◽  
Author(s):  
P. E. W. Grensted
Keyword(s):  
Characteristic Equation ◽  
Linear Equations ◽  
Time Varying ◽  
Stability Criteria ◽  
Characteristic Equations ◽  
Stability Problems ◽  
Varying Coefficients ◽  
Recent Interest ◽  
Time Varying Coefficients ◽  
The Stability

Recent interest has been shown in stability problems in which the parameters in the relevant characteristic equations are not constant. For instance, the coefficients in the characteristic equation for the stability of flutter of an aeroplane's wings are functions of the speed of the aircraft. When the aircraft is accelerating or decelerating it is therefore necessary to consider whether the resulting variation of the coefficients is sufficiently rapid to invalidate a calculation of stability which is based on the assumption that the coefficients are constant. Similar stability problems arise in connection with guided missiles.

Efficient repetitive solution of linear equations with varying coefficients

AIAA Journal ◽  
1985 ◽  
Vol 23 (10) ◽  
pp. 1639-1640 ◽  
Author(s):  
Robert Morris Hintz
Keyword(s):  
Linear Equations ◽  
Varying Coefficients

The influence of extrinsic motivation and work experience on employee performance (Case study in the Serang Baru Sub-district, Bekasi District)

2020 ◽  
Vol 5 (02) ◽  
pp. 167
Author(s):  
Nur’enny Nur’enny ◽  
Rahmat Hidayat
Keyword(s):  
Work Experience ◽  
Extrinsic Motivation ◽  
Employee Performance ◽  
Linear Equations ◽  
Test Reliability ◽  
Coefficient Of Determination ◽  
District Office ◽  
Normality Test ◽  
Observation Methods ◽  
Saturated Sample

This study aims to obtain information about extrinsic motivation and work experience and its effect on employee performance in the Serang Baru District Office. This study uses a saturated sample so that the population is the same as the sample of 80 employees, at the Serang Baru District Office. The method used is validation test, reliability test, then classical assumption test, which includes normality test and multicollinearity, as well as heteroscedasticity test, multiple linear analysis test, multiple linear equations, F test, coefficient of determination, and t test. The data of this research used observation methods and questionnaires distributed to 80 samples which were addressed to employees of the Serang Baru District Office. Based on the results of research and discussion, it can be concluded: 1) Extrinsic motivation does not affect employee performance because employees are willing to work more than expected regardless of extrinsic motivation or not. 2) Employee performance is strongly influenced by work experience. The more experience, they get while working, the more knowledge they will get. 3) Employee performance will be better with the support of experienced employees so as to increase the level of output produced.             Keywords: Employee Performance, Extrinsic Motivation, Work Experience

Optimization of Linear Equations using Genetic Algorithms

2011 ◽  
Vol 2 (3) ◽  
pp. 56-58
Author(s):  
Roshni .V Patel ◽  
◽  
Jignesh. S Patel
Keyword(s):  
Genetic Algorithms ◽  
Linear Equations
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