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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some estimates on an exterior Steklov eigenvalue problem
外部 斯特克洛夫特征值 估计
2023/5/9
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
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.
Designing Optical Fibers: Fitting the Derivatives of a Nonlinear Pde-Eigenvalue Problem
Symmetric Indefinite Eigenvalue Gradient Optical Fiber Design
2013/1/30
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...
A Type of Multigrid Method for Eigenvalue Problem
Eigenvalue problem multigrid multi-level correction finiteelement method
2012/8/10
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...
Numerical Approximations of A Nonlinear Eigenvalue Problem and Applications to A Density Functional Model
Eigenvalue Galerkin discretization nonlinear numerical approximation density func- tional orbital-free
2012/8/10
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...
Metric deformation and eigenvalue problem in 2D for an irregular boundary
Metric deformation eigenvalue problem irregular boundary Quantum Physics
2011/7/28
Abstract: We prescribe a new formulation for solving the Helmholtz equation in 2D with irregular boundary. A suitable diffeomorphism is used to annul the asymmetries in the boundary by mapping it into...
Eigenvalue Problem in Two Dimensions for an Irregular Boundary II: Neumann Condition
Eigenvalue Problem Two Dimensions Irregular Boundary II Neumann Condition
2011/7/26
Eigenvalue Problem in Two Dimensions for an Irregular Boundary II: Neumann Condition.
On the eigenvalue problem for a particular class of finite Jacobi matrices
the eigenvalue problem finite Jacobi matrices
2010/11/11
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 ...
Recurrence relation for the 6j-symbol of su_q(2) from an eigenvalue problem
Racah-Wigner coefficients 6j-symbol quantum group eigenvalue problem
2010/12/3
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 ...
Photonic Band Structure of Dispersive Metamaterials Formulated as a Hermitian Eigenvalue Problem
Photonic Band Structure Dispersive Metamaterials Formulated Hermitian Eigenvalue Problem
2015/8/10
We formulate the photonic band structure calculation of any lossless dispersive photonic crystal and optical metamaterial as a Hermitian eigenvalue problem. We further show that the eigenmodes of such...
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...
A D.C. Programming Approach to the Sparse Generalized Eigenvalue Problem
Generalized eigenvalue problem Principal component analysis Canonicalcorrelation analysis Fisher discriminant analysis
2010/3/17
In this paper, we consider the sparse eigenvalue problem wherein the goal is to obtain a
sparse solution to the generalized eigenvalue problem. We achieve this by constraining the
cardinality of the...
Polarization Detector:A New Approach Without Eigenvalue Problem Solution
Eigenvalue Polarization Solution Problem
2009/6/15
Polarization Detector:A New Approach Without Eigenvalue Problem Solution.
Positive Solutions for Eigenvalue Problem with Time Scales
time scales positive solution eigenvalues fixed points
2012/9/28
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...