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三亚国际数学论坛：Eigenvalue Problems:Theory,Approximation,and Applications
三亚国际数学论坛 Eigenvalue Problems Theory Approximation Applications
2017/7/3
Eigenvalue problems arise in many scientific and engineering applications. They are also important in emerging areas such as big data analysis. For example, eigenvalues (or singular values) can be use...
Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem
Sturm-Liouville eigenvalue applications n-body problem
2015/3/18
Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem.
Asymptotic solutions of a generalized eigenvalue problem
Weight functions Asymptotic converge
2010/9/17
This paper provides a solution of a generalized eigenvalue problem for a fractional integrated processes. To this end two random matrices are constructed in order to take into account the stationarity...
The First Eigenvalue for the $p$-Laplacian Operator
$p$-Laplacian Nonlinear eigenvalue problems Shape optimization
2008/6/26
The First Eigenvalue for the $p$-Laplacian Operator.
On the Eigenvalue Two and Matching Number of a Tree
Tree Laplacian eigenvalues matching number
2007/12/11
In [6], Guo and Tan have shown that $2$ is a Laplacianeigenvalue of any tree with perfect matchings. For trees withoutperfect matchings, we study whether $2$ is one of its Laplacianeigenvalues. If th...
Local and Parallel Finite Element Algorithms for Eigenvalue Problems
Eigenvalue finite element local algorithm
2007/12/11
Some new local and parallel finite element algorithms are proposed and analyzed in this paper for eigenvalue problems. With these algorithms, the solution of an eigenvalue problem on a fine grid is re...
On Eigenvalue Intervals and Eigenfunctions of Nonresonance Singular Dirichlet Boundary Value Problems
eigenvalue intervals eigenfunctions fixed points
2007/12/11
0 is a constant. Intervals of 5 are determined to ensure the existence of a nonnegative solution of the boundary value problem. For λ=1, we shall also offer criteria for the existence of eigenfunction...
ON THE κ-th LARGEST EIGENVALUE OF THE LAPLACIAN MATRIX OF A GRAPH
Laplacian matrix eigenvalue
2007/12/10
In this paper,we give the upper bound and lower bound of k-th largest eigenvalue λ_κ of the Laplacian matrix of a graph G in terms of the edge number of G and the number of spanning trees of G.
HIGH ACCURACY ANALYSIS OF ELLIPTIC EIGENVALUE PROBLEM FOR THE WILSON NONCONFORMING FINITE ELEMENT
Eigenvalue problems high accu
2007/12/10
In this paper, the Wilson nonconforming finite element is considered for solving elliptic eigenvalue problems. Based on an interpolation postprocessing, superconvergence estimates of both eigenfuncti...