Results 11 to 20 of about 159,722 (293)
We consider coupled nonlinear Schrodinger equation (CNLSE) of the Gross-Pitaevskii-type, with linear mixing and nonlinear cross-phase modulation. Motivated by the study of matter waves in Bose-Einstein condensates and multicomponent (vectorial) nonlinear
Hamdy I. Abdel-Gawad +3 more
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The problem of finding the minimal eigenvalue corresponding to a positive eigenfunction of the nonlinear eigenvalue problem for the ordinary differential equation with coefficients depending on a spectral parameter is investigated. This problem arises in
Solov´ev Sergey I. +2 more
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Mixed-mode loading of the structural elements with defect
In the article the problem of determining the stress-strain state near the mixed-mode crack tip in a power-law material under plane stress conditions is considered. The eigenfunction method is used for the mixed-mode crack tip problem.
Larisa V Stepanova +1 more
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The nonlinear eigenvalue problem [PDF]
Nonlinear eigenvalue problems arise in a variety of science and engineering applications, and in the past ten years there have been numerous breakthroughs in the development of numerical methods. This article surveys nonlinear eigenvalue problems associated with matrix-valued functions which depend nonlinearly on a single scalar parameter, with a ...
Guettel, Stefan, Tisseur, Francoise
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The present paper deals with the spectrum of a fourth order nonlinear eigenvalue problem involving variable exponent conditions and a sign-changing potential.
Qing-Mei Zhou, Ke-Qi Wang
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COMPARISON OF CHEBYSHEV AND ANDERSON ACCELERATIONS FOR THE NEUTRON TRANSPORT EQUATION [PDF]
This work focuses on the k-eigenvalue problem of the neutron transport equation. The variables of interest are the largest eigenvalue (keff) and the corresponding eigenmode is called the fundamental mode.
Calloo Ansar +2 more
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On the Variational Eigenvalues Which Are Not of Ljusternik-Schnirelmann Type
We discuss nonlinear homogeneous eigenvalue problems and the variational characterization of their eigenvalues. We focus on the Ljusternik-Schnirelmann method, present one possible alternative to this method and compare it with the Courant-Fischer ...
Pavel Drábek
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Parallel Self-Consistent-Field Calculations via Chebyshev-Filtered Subspace Acceleration [PDF]
Solving the Kohn-Sham eigenvalue problem constitutes the most computationally expensive part in self-consistent density functional theory (DFT) calculations.
B. Fornberg +10 more
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Approximation of the Minimal Eigenvalue for a Nonlinear Sturm–Liouville Problem [PDF]
Properties of the minimal eigenvalue corresponding to the positive eigenfunction of a nonlinear eigenvalue problem for an ordinary differential equation are studied. This problem is approximated by a mesh scheme of the finite element method. The error of
V.S. Zheltukhin +2 more
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On the spectrum of Robin boundary p-Laplacian problem
We study the following nonlinear eigenvalue problem with nonlinear Robin boundary ...
Khalil Abdelouahed El
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