Results 21 to 30 of about 166,500 (329)

The effect of arbitrarily small rigidity on the free oscillations of the Earth

Annals of Geophysics, 1997
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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Dynamic model reduction: An overview of available techniques with application to power systems [PDF]

Serbian Journal of Electrical Engineering, 2012
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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Basic Concepts Underlying Singular Perturbation Techniques [PDF]

, 1972
In many singular perturbation problems multiple scales are used. For instance, one may use both the coordinate x and the coordinate x^* = ε^(-1)x. In a secular-type problem x and x^* are used simultaneously.
Casten, R. G., Lagerstrom, P. A.
core   +1 more source

Existence of Solitary Waves in a Perturbed KdV-mKdV Equation

Journal of Mathematics, 2021
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

Journal of Inequalities and Applications, 2016
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, Guoliang Chen, Guoxing Wu, Xiaoyan Chen   +3 more
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Componentwise Perturbation Analysis of the Singular Value Decomposition of a Matrix

Applied Sciences
A rigorous perturbation analysis is presented for the singular value decomposition (SVD) of a real matrix with full column rank. It is proved that the SVD perturbation problem is well posed only when the singular values are distinct.
Vera Angelova, Petko Petkov
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Highlighting Link Prediction in Bipartite Networks via Structural Perturbation

IEEE Access, 2018
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, Wenjun Wang, Wei Yu, Pengfei Jiao, Yueheng Sun   +4 more
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Piecewise reproducing kernel-based symmetric collocation approach for linear stationary singularly perturbed problems

AIMS Mathematics, 2020
The aim of this paper is to develop an accurate symmetric collocation scheme for a class of linear stationary singular perturbation problems with two boundary layers.
F. Z. Geng
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A Singular Tempered Sub-Diffusion Fractional Equation with Changing-Sign Perturbation

Axioms
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, Jingsong Chen, Lishuang Li, Yonghong Wu   +3 more
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Singular perturbation for nonlinear boundary-value problems

International Journal of Mathematics and Mathematical Sciences, 1979
Asymptotic solutions of a class of nonlinear boundary-value problems are studied. The problem is a model arising in nuclear energy distribution. For large values of the parameter, the differential equations are of the singular-perturbation type and ...
Rina Ling
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