An efficient spectral‐Galerkin method based on a dimension reduction scheme for eigenvalue problems of Schrödinger equations
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DOI: 10.1002/mma.5500
Abstract: In this paper, we propose an efficient spectral‐Galerkin method based on a dimension reduction scheme for eigenvalue problems of Schrödinger equations. Firstly, we carry out a truncation from a three‐dimensional unbounded domain to a bounded… read more here.
Keywords: eigenvalue; method; spectral galerkin; efficient spectral ... See more keywords
Asymptotic convergence of spectral inverse iterations for stochastic eigenvalue problems
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DOI: 10.1007/s00211-019-01034-w
Abstract: We consider and analyze applying a spectral inverse iteration algorithm and its subspace iteration variant for computing eigenpairs of an elliptic operator with random coefficients. With these iterative algorithms the solution is sought from a… read more here.
Keywords: asymptotic convergence; space; convergence spectral; eigenvalue ... See more keywords
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients
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DOI: 10.1007/s00211-019-01046-6
Abstract: We consider the forward problem of uncertainty quantification for the generalised Dirichlet eigenvalue problem for a coercive second order partial differential operator with random coefficients, motivated by problems in structural mechanics, photonic crystals and neutron… read more here.
Keywords: monte carlo; problem; eigenvalue; quasi monte ... See more keywords
Comparative Study on Sixth Order Boundary Value Problems with Application to Linear Hydrodynamic Stability Problem and Benard Layer Eigenvalue Problem
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DOI: 10.1007/s12591-019-00509-4
Abstract: Numerical estimation for higher order eigenvalue problems are promising and has accomplished significant importance, mainly due to existence of higher order derivatives and boundary conditions relating to higher order derivatives of the unknown functions. In… read more here.
Keywords: order; linear hydrodynamic; hydrodynamic stability; eigenvalue ... See more keywords
Vertex combination approach for uncertainty propagation analysis in spacecraft structural system with complex eigenvalue
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DOI: 10.1016/j.actaastro.2020.02.054
Abstract: Abstract Uncertainty propagation analysis is crucial to the safety and optimal design of spacecraft structural system in which high accuracy modelling is required. In consideration of convex uncertainties, a vertex combination approach based on the… read more here.
Keywords: spacecraft structural; structural system; complex eigenvalue; eigenvalue ... See more keywords
A DRBEM approximation of the Steklov eigenvalue problem
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DOI: 10.1016/j.enganabound.2020.11.003
Abstract: Abstract In this study, we propose a novel approach based on the dual reciprocity boundary element method (DRBEM) to approximate the solutions of various Steklov eigenvalue problems. The method consists in weighting the governing differential… read more here.
Keywords: drbem; eigenvalue problem; steklov eigenvalue; eigenvalue ... See more keywords
On the second largest eigenvalue of the generalized distance matrix of graphs
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DOI: 10.1016/j.laa.2020.05.028
Abstract: Abstract For a simple connected graph G, let D ( G ) , T r ( G ) , D L ( G ) and D Q ( G ) , respectively be the distance… read more here.
Keywords: distance matrix; generalized distance; second largest; distance ... See more keywords
Classes of nonbipartite graphs with reciprocal eigenvalue property
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DOI: 10.1016/j.laa.2020.10.039
Abstract: Abstract Let G be a simple connected graph and A ( G ) be the adjacency matrix of G. The graph G is said to have the reciprocal eigenvalue property (R) if A ( G… read more here.
Keywords: classes nonbipartite; nonbipartite graphs; reciprocal eigenvalue; property ... See more keywords
A Novel Analysis Method Based on Quadratic Eigenvalue Problem for Multirelay Magnetic Coupling Wireless Power Transfer
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DOI: 10.1109/tpel.2021.3062394
Abstract: To simplify the analysis process of the multirelay magnetic coupling wireless power transfer system, a novel analysis method based on the quadratic eigenvalue problem (QEP) has been proposed. The second-order underlying equation of the system… read more here.
Keywords: system; analysis; power; eigenvalue ... See more keywords
Eigenvalue significance testing for genetic association.
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DOI: 10.1111/biom.12767
Abstract: Genotype eigenvectors are widely used as covariates for control of spurious stratification in genetic association. Significance testing for the accompanying eigenvalues has typically been based on a standard Tracy-Widom limiting distribution for the largest eigenvalue,… read more here.
Keywords: genetic association; significance testing; eigenvalue; approach ... See more keywords
Quadrature finite element method for elliptic eigenvalue problems
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DOI: 10.1134/s1995080217050341
Abstract: A positive semi-definite eigenvalue problem for second-order self-adjoint elliptic differential operator definedon a bounded domain in the planewith smooth boundary and Dirichlet boundary condition is considered. This problem has a nondecreasing sequence of positive eigenvalues… read more here.
Keywords: element method; finite element; quadrature finite; eigenvalue ... See more keywords