3,111 research outputs found
Green's functions of potential problems in lens shaped geometries
The Kelvin inversion method will be outlined to determine the potential distribution due to a point charge (or the Green's function) in geometries bounded by flat and spherical surfaces
A Reconstruction Procedure for Microwave Nondestructive Evaluation based on a Numerically Computed Green's Function
This paper describes a new microwave diagnostic tool for nondestructive evaluation. The approach, developed in the spatial domain, is based on the numerical computation of the inhomogeneous Green’s function in order to fully exploit all the available a-priori information of the domain under test. The heavy reduction of the computational complexity of the proposed procedure (with respect to standard procedures based on the free-space Green’s function) is also achieved by means of a customized hybrid-coded genetic algorithm. In order to assess the effectiveness of the method, the results of several simulations are presented and discussed
Contact transformations and the theory of optimal control
Contact transformation of independent and dependent variables of Hamilton-Jacobi equatio
Sturm Liouville Problem with Moving Discontinuity Points
In this paper, we present a new discontinuous Sturm Liouville problem with
symmetrically located discontinuities which are defined depending on a
neighborhood of a midpoint of the interval. Also the problem contains an
eigenparameter in one of the boundary conditions and has coupled transmission
conditions at the discontinuity points. We investigate the properties of the
eigenvalues, obtain asymptotic formulas for the eigenvalues and the
corresponding eigenfunctions and construct Green's function of this problem.Comment: 19 pages. arXiv admin note: text overlap with arXiv:1210.4350 by
other author
Boundary integral solution of potential problems arising in the modelling of electrified oil films
We consider a class of potential problems on a periodic half-space for the modeling of electrified oil films, which are used in the development of novel switchable liquid optical devices (diffraction gratings). A boundary integral formulation which reduces the problem to the study of the oil-air interface alone is derived and solved in a highly efficient manner using the Nyström method. The oil films encountered experimentally are typically very thin and thus an interface-only integral representation is important for avoiding the near-singularity problems associated with boundary integral methods for long slender domains. The super-algebraic convergence of the proposed method is discussed and demonstrated via appropriate numerical experiments
On iterative solutions for quantum-mechanical bound states
Iterative solutions for quantum mechanical bound state
A closed form solution to HZE propagation
An analytic solution for high energy heavy ion transport assuming straightahead and velocity conserving interactions with constant nuclear cross reactions is given in terms of a Green's function. The series solution for the Green's function is rapidly convergent for most practical applications. The Green's function technique can be applied with equal success to laboratory beams as well as to galactic cosmic rays allowing laboratory validation of the resultant space shielding code
Absolute Value Boundedness, Operator Decomposition, and Stochastic Media and Equations
The research accomplished during this period is reported. Published abstracts and technical reports are listed. Articles presented include: boundedness of absolute values of generalized Fourier coefficients, propagation in stochastic media, and stationary conditions for stochastic differential equations
An iterative method derived from existence and uniqueness theorems for systems of second-order, nonlinear, two-point-boundary- value differential equations
Iterative method for systems of two-point boundary value differential equations based on contraction mapping principl
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