79 citations · 1k across the 43 of their papers we have counts for
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physics.flu-dyn2022★ 26 cited
Large-scale influence of numerical noises as artificial stochastic disturbances on a sustained turbulence
Shijie Qin, Shijun Liao
We investigate the large-scale influence of numerical noises as tiny artificial stochastic disturbances on a sustained turbulence. Using the two-dimensional (2D) turbulent Rayleigh…
physics.class-ph2022★ 11 cited
Avoiding small denominator problems by means of the homotopy analysis method
Shijun Liao
The so-called ``small denominator problem'' was a fundamental problem of dynamics, as pointed out by Poincaré. Small denominators appear most commonly in perturbative theory. The D…