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Developing benchmark analytic solutions for problems in solid and fluid mechanics is very important for the purpose of testing and verifying computational physics codes.
Although various theoretical and numerical approaches have been developed, benchmark analytic solutions are still rare due to the mathematical difficulty in solving the complex boundary value problems of the governing high-order partial differential equation.
It is of significance to explore benchmark analytic free vibration solutions of rectangular thick plates without two parallel simply supported edges, because the classic analytic methods are usually invalid for the problems of this category.
Statisticians have estimated design power using computer simulation for decades to benchmark analytic sample size equations [ 4, 5], but most published articles on estimating power using simulation have been either highly specific in application or highly technical [ 6- 15].
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The code, gyro, is benchmarked against analytic theory, linear eigenmode codes, and nonlinear electrostatic gyrokinetic particle-in-cell codes.
The analytic benchmark solution for the scattering and diffraction of elastic P- and S-waves by a single spherical obstacle is presented in a condensed format.
We need a new risk-monitoring standard, a driving-analytics benchmark that is largely behavioral.
We use analytic benchmarks to demonstrate equal-order convergence for both velocity and pressure when solving problems with curvilinear geometries.
IBM collects the numbers via its real-time Digital Analytics Benchmark, which tracks approximately 800 U.S. retail websites.
Early results for Cyber Monday, from IBM's Digital Analytics Benchmark, show a 25.6percentt jump in online sales from this same time period over Cyber Monday 2011.
Even so, 35% of IT entrepreneurs in the Middle East are women, compared with 10% on a global scale, according to the data analytics benchmark website Startup Compass, a sign that women in the region are making inroads in traditionally male-dominated fields here.
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