Results 31 to 40 of about 134,115 (317)
Perturbation Methods for the Eigencharacteristics of Symmetric and Asymmetric Systems
Shock and Vibration, 2018 Dynamic analysis for a vibratory system typically begins with an evaluation of its eigencharacteristics. However, when design changes are introduced, the eigensolutions of the system change and thus must be recomputed.
Philip D. Cha, Austin Shin
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The Fréchet Derivative of an Analytic Function of a Bounded Operator with Some Applications
International Journal of Mathematics and Mathematical Sciences, 2009 The main result in this paper is the determination of the Fréchet derivative of an analytic function of a bounded operator, tangentially to the space of all bounded operators. Some applied problems from statistics and numerical analysis are included as a
D. S. Gilliam +3 more
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Principal Eigenvalues and Perturbation
, 1995 In a classical article, Hess and Kato [HK] study the problem $$\left\{ {\begin{array}{*{20}{c}} {Au + \lambda mu = 0} \\ {0 \leqslant u \in D\left( A \right), u \ne 0,} \end{array}} \right.$$ (0.1) where A is a strongly elliptic operator on a bounded open set Ω of R n with Dirichlet boundary conditions and m is a continuous bounded function ...
Arendt, W, Batty, C
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Closed form bound-state perturbation theory
International Journal of Mathematics and Mathematical Sciences, 1980 The perturbed Schrödinger eigenvalue problem for bound states is cast into integral form using Green's Functions. A systematic algorithm is developed and applied to the resulting equation giving rise to approximate solutions expressed as functions of the
Ollie J. Rose, Carl G. Adler
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Journal of Materials and Engineering Structures, 2022 This paper deal with the stochastic finite element method for investigating the eigenvalues of free vibration of non-uniform beams due to a random field of elastic modulus.
Nhung Thi NGUYEN +3 more
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EIGENVALUE COLLISION FOR PT-SYMMETRIC WAVEGUIDE
Acta Polytechnica, 2014 We consider a model of a planar PT-symmetric waveguide and study the phenomenon of the eigenvalue collision under perturbation of the boundary conditions. This phenomenon was discovered numerically in previous works.
Denis Borisov
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Boundary Value Problems, 2010 We applied the variational iteration method and the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems. The main advantage of these methods is the flexibility to give approximate and exact solutions to both ...
R. Darzi, A. Neamaty
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Multiple perturbations of a singular eigenvalue problem
, 2015 We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija +2 more
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Analysis of alpha modes in multigroup diffusion
Nuclear Engineering and Technology, 2017 The alpha eigenvalue problem in multigroup neutron diffusion is studied with particular attention to the theoretical analysis of the model. Contrary to previous literature results, the existence of eigenvalue and eigenflux clustering is investigated here
Richard Sanchez +3 more
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An approximate diagonalization method for large scale Hamiltonians
, 2012 An approximate diagonalization method is proposed that combines exact diagonalization and perturbation expansion to calculate low energy eigenvalues and eigenfunctions of a Hamiltonian.
Amin, Mohammad H. +3 more
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