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This article introduces an efficient approach for calculating the moments of exponential densities. Usually, the desired moments are obtained by means of numerical integration, which is impractical due to its computational complexity and the underlying infinite integration intervals. The new approach relies on an exact conversion of these integrals into a(More)
In the subcritical interval of the Reynolds number 4320 ≤ R ≤ R c ≡ 5772, the Navier–Stokes equations of the two–dimensional plane Poiseuille flow are approximated by a 22–dimensional Galerkin representation formed from eigenfunctions of the Orr–Sommerfeld equation. The resulting dynamical system is brought into a generalized normal form which is(More)
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