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Effective population size in simple infectious disease models
Almost all models used in analysis of infectious disease outbreaks contain some notion of population size, usually taken as the census population...
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Explicit Eigenvalue Bounds for Various Differential Operators
This chapter extends the theorem in Chap. 3 and applies it, in conjunction with the conforming and...
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A Robust Randomized Indicator Method for Accurate Symmetric Eigenvalue Detection
We propose a robust randomized indicator method for the reliable detection of eigenvalue existence within an interval for symmetric matrices A . An...
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Singular quadratic eigenvalue problems: linearization and weak condition numbers
The numerical solution of singular eigenvalue problems is complicated by the fact that small perturbations of the coefficients may have an...
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Eigenvalue assignment of second-order singular systems by acceleration–velocity–displacement feedback
The eigenvalue assignment problem of second-order singular system is investigated by using acceleration–velocity–displacement feedback. The...
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On flexible block Chebyshev-Davidson method for solving symmetric generalized eigenvalue problems
In a recent work (J. Sci. Comput. 85 (2020), no. 3), the author generalized the Chebyshev-Davidson method appeared in standard eigenvalue problems to...
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Wavelet eigenvalue regression in high dimensions
In this paper, we construct the wavelet eigenvalue regression methodology (Abry and Didier in J Multivar Anal 168:75–104, 2018a; in Bernoulli...
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The infinite Lanczos method for symmetric nonlinear eigenvalue problems
A new iterative method for solving large scale symmetric nonlinear eigenvalue problems is presented. We firstly derive an infinite dimensional...
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A Time-Periodic Parabolic Eigenvalue Problem on Finite Networks and Its Applications
In this paper, we investigate the eigenvalue problem of a time-periodic parabolic operator on a finite network. The network under consideration can...
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An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities
The elastic transmission eigenvalue problem, arising from the inverse scattering theory, plays a critical role in the qualitative reconstruction...
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Multiscale asymptotic analysis and algorithm for the quadratic eigenvalue problem in composite materials
A novel second-order two-scale(SOTS) asymptotic analysis and computational approach are developed for solving the quadratic eigenvalue problem(QEP)...
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Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates
Guaranteed lower Dirichlet eigenvalue bounds (GLB) can be computed for the m -th Laplace operator with a recently introduced extra-stabilized...
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Some recent developments on the Steklov eigenvalue problem
The Steklov eigenvalue problem, first introduced over 125 years ago, has seen a surge of interest in the past few decades. This article is a tour of...
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An Efficient Adaptive Mesh Redistribution Method for Nonlinear Eigenvalue Problems in Bose–Einstein Condensates
We design a multilevel correction type of adaptive finite element method based on the moving mesh technique for solving nonlinear eigenvalue...
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The Homotopy Method for the Complete Solution of Quadratic Two-parameter Eigenvalue Problems
We propose a homotopy method to solve the quadratic two-parameter eigenvalue problems, which arise frequently in the analysis of the asymptotic...
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Universal eigenvalue statistics for dynamically defined matrices
We consider dynamically defined Hermitian matrices generated from orbits of the doubling map. We prove that their spectra fall into the GUE...
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The Finite Element Method for the Elastic Transmission Eigenvalue Problem with Different Elastic Tensors
The elastic transmission eigenvalue problem, arising from the inverse scattering theory, plays a critical role in the qualitative reconstruction...
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Second-Order Three-Scale Asymptotic Analysis and Algorithms for Steklov Eigenvalue Problems in Composite Domain with Hierarchical Cavities
A top–down strategy based on the second-order asymptotic method is proposed for solving the Steklov eigenvalue problems on composite perforated...
