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The shear-band spacing was calculated from two existing models, based on a perturbation analysis and on momentum diffusion.
An overall effectiveness factor is derived for a class of nonisothermal multiphase catalytic reactions based on a perturbation technique.
Our numerical results agree favorably with those based on a perturbation analysis for the case of very low electrical potential.
The method is based on a perturbation expansion for both the frequency parameter and the dependent variables.
This work presents a solution for the elastic T-stress at the tip of a slightly curved or kinked crack based on a perturbation approach.
The theoretical model is based on a perturbation expansion at low Mach number of the modal equation for parallel shear flows (Pridmore-Brown equation).
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Perturbation based on a deterministic perturbation vector set can avoid extensive signaling and feedback overhead [9].
Known results, based on a small perturbation or linear approximation, are recovered and the formulation developed enables systematic refinements, outside the scope of linear theory, to be found.
This paper presents a derivative spectra modeling method based on a singular perturbation technique, termed ensemble derivative spectra partial least squares (EDSPLS), for the quantitative analysis of infrared spectra.
The method is based on a systematic perturbation expansion around the deterministic, non-spatial mean-field theory, using the theory of distributions to account for space and the underlying stochastic differential equations to account for stochasticity.
The method is a non-trivial extension of recent work of the authors for two-dimensional bounded obstacle scattering, and is based on a boundary perturbation technique coupled to a well-conditioned high-order spectral-Galerkin solver.
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