Aircraft longitudinal decoupling based on a singular perturbation approach
Aircraft longitudinal dynamics is approximated by short-time mode and phugoid mode from experience. In this article, a rigorous mathematical method is provided based on the singular perturbation theory to deal with this decoupling problem.
Shangqiu Shan, Zhongxi Hou, Wenkai Wang
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This paper extends the continuous-time waveform relaxation method to singular perturbation initial value problems. The sufficient conditions for convergence of continuous-time waveform relaxation methods for singular perturbation initial value problems ...
Yongxiang Zhao, Li Li
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Absolutely stable difference scheme for a general class of singular perturbation problems
This paper presents an absolutely stable noniterative difference scheme for solving a general class of singular perturbation problems having left, right, internal, or twin boundary layers. The original two-point second-order singular perturbation problem
Essam R. El-Zahar +5 more
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Parametric Borel summability for some semilinear system of partial differential equations [PDF]
In this paper we study the Borel summability of formal solutions with a parameter of first order semilinear system of partial differential equations with \(n\) independent variables. In [Singular perturbation of linear systems with a regular singularity,
Hiroshi Yamazawa, Masafumi Yoshino
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Dynamic model reduction: An overview of available techniques with application to power systems [PDF]
This paper summarises the model reduction techniques used for the reduction of large-scale linear and nonlinear dynamic models, described by the differential and algebraic equations that are commonly used in control theory. The groups of methods
Đukić Savo D., Sarić Andrija T.
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The effect of arbitrarily small rigidity on the free oscillations of the Earth
The system of propagator equations for an elastic solid becomes singular as the shear modulus becomes vanishingly small. In computational applications there is severe loss of precision as the limit of zero shear modulus is approached.
F. Gilbert
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Existence of Solitary Waves in a Perturbed KdV-mKdV Equation
In this paper, we establish the existence of a solitary wave in a KdV-mKdV equation with dissipative perturbation by applying the geometric singular perturbation technique and Melnikov function.
Chengqun Li, Minzhi Wei, Yuanhua Lin
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Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
Perturbation bounds for eigenvalues of diagonalizable matrices are derived. Perturbation bounds for singular values of arbitrary matrices are also given. We generalize some existing results.
Duanmei Zhou +3 more
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Highlighting Link Prediction in Bipartite Networks via Structural Perturbation
Most of the link prediction algorithms for bipartite networks assume that the generation of link is based on a predefined prior assumption. However, for the real-world bipartite networks, the generation mechanism of link is still ambiguous due to their ...
Xue Chen +4 more
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A Singular Tempered Sub-Diffusion Fractional Equation with Changing-Sign Perturbation
In this paper, we establish some new results on the existence of positive solutions for a singular tempered sub-diffusion fractional equation involving a changing-sign perturbation and a lower-order sub-diffusion term of the unknown function.
Xinguang Zhang +3 more
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