Results 11 to 20 of about 23,886 (254)
Sensitivity analysis of waveguide eigenvalue problems [PDF]
Advances in Radio Science, 2011 We analyze the sensitivity of dielectric waveguides with respect to design parameters such as permittivity values or simple geometric dependencies. Based on a discretization using the Finite Integration Technique the eigenvalue problem for the wave ...
N. Burschäpers +3 more
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The Hardy potential and eigenvalue problems [PDF]
Opuscula Mathematica, 2011 We establish the existence of principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We consider the Dirichlet and Neumann boundary conditions.
Jan Chabrowski
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Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems
International Journal of Analysis and Applications, 2023 This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized eigenvalue problem where the functions represent interpolants in suitably ...
Sameh Gana
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Two-parametric nonlinear eigenvalue problems
Electronic Journal of Qualitative Theory of Differential Equations, 2008 Eigenvalue problems of the form $x'' = -\lambda f(x^+) + \mu g(x^-),$ $\quad (i),$ $x(0) = 0, \; x(1) = 0,$ $\quad (ii)$ are considered, where $x^+$ and $x^-$ are the positive and negative parts of $x$ respectively.
Armands Gritsans, Felix Sadyrbaev
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Product Eigenvalue Problems [PDF]
SIAM Review, 2005 Summary: Many eigenvalue problems are most naturally viewed as product eigenvalue problems. The eigenvalues of a matrix \(A\) are wanted, but \(A\) is not given explicitly. Instead it is presented as a product of several factors: \(A = A_{k}A_{k-1}\dots A_{1}\). Usually more accurate results are obtained by working with the factors rather than forming \
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Supersolutions to nonautonomous Choquard equations in general domains
Advances in Nonlinear Analysis, 2023 We consider the nonlocal quasilinear elliptic problem: −Δmu(x)=H(x)((Iα*(Qf(u)))(x))βg(u(x))inΩ,-{\Delta }_{m}u\left(x)=H\left(x){(\left({I}_{\alpha }* \left(Qf\left(u)))\left(x))}^{\beta }g\left(u\left(x))\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0 ...
Aghajani Asadollah, Kinnunen Juha
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Existence of solutions for 4p-order PDES with Neumann boundary conditions
Moroccan Journal of Pure and Applied Analysis, 2023 In this work, we study the existence of at least one non decreasing sequence of nonnegative eigenvalues for the problem: {Δ2pu=λm(x)u in Ω,∂u∂v=∂(Δu)∂v=…=∂(Δ2p-1u)∂v=0 on ∂Ω.\left\{ {\matrix{ {{\Delta ^{2p}}u = \lambda m\left( x \right)u ...
Moradi N. +3 more
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Nonlinear nonhomogeneous Neumann eigenvalue problems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is $(p-1)$-superlinear near $\pm\infty$ and exhibits concave terms near zero.
Pasquale Candito +2 more
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Stochastic gradient descent for optimization for nuclear systems
Scientific Reports, 2023 The use of gradient descent methods for optimizing k-eigenvalue nuclear systems has been shown to be useful in the past, but the use of k-eigenvalue gradients have proved computationally challenging due to their stochastic nature.
Austin Williams +5 more
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Higher-order sensitivity analysis of periodic 3-D eigenvalue problems for electromagnetic field calculations [PDF]
Advances in Radio Science, 2017 An algorithm to perform a higher-order sensitivity analysis for electromagnetic eigenvalue problems is presented. By computing the eigenvalue and eigenvector derivatives, the Brillouin Diagram for periodic structures can be calculated.
P. Jorkowski, R. Schuhmann
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