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In this talk we will discuss a Steklov eigenvalue problem on an exterior Euclidean domain. We will present sharp lower and upper bounds for its first eigenvalue under various conditions on the domain....
Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem.
When trying to fit data to functions of the eigensystem of a pde-eigenvalue problem, such as Maxwell’s equation, numerical differentiation is ineffective and analytic gradients must be supplied. In ou...
In this paper, a new type of iteration method is proposed to solve eigenvalue problem by finite element method. With this new scheme, solving eigenvalue problem is transformed to solving a series of...
In this paper, we study numerical approximations of a nonlinear eigenvalue problem and consider applications to a density functional model. We prove the convergence of numerical approximations. In p...
A function $\mathfrak{F}$ with simple and nice algebraic properties is defined on a subset of the space of complex sequences. Some special functions are expressible in terms of $\mathfrak{F}$, first ...
A new, linear, three-term recurrence relation for the 6j-symbol of the quantum group suq(2) is derived. It is cast in the form of a symmetric eigenvalue problem, generalizing a result of Schulten and ...
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...
By exploring the values of the eigenvalue ル , this paper deals with the existence and nonexistence of positive solution for the following three-point boundary value problem with time scales: () () (, ...
Steklov eigenvalue problem of Helmholtz equation is considered in the present paper. Steklov eigenvalue problem is reduced to a new variational formula on the boundary of a given domain, in which th...
The finite element solutions of elliptic eigenvalue equations are shown to have a multi-parameter asymptotic error expansion. Based on this expansion and a splitting extrapolation technique, a paral...
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...

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