An integral equation approach with a new solution procedure using moment method (MoM) is applied for the computation of coupled currents on the surface of a printed dipole antenna and inside its high-permittivity three-dimensional dielectric substrate. The main purpose of this study is to validate the accuracy and reliability of the previously proposed MoM procedure by authors for the solution ...

Other machines on which the adaption has been tested: CRAY-i Other machines on which the adaption has been tested: CRAY-i and 1BM4341/2 No. of bits in a byte: 8 No. of bits in a byte: 8 No. of lines required to effect adaptation: 190 No. of lines required to effect adaptation: 215 Additional keywords: spherical oscillator functions . Additional keywords: Gauss—Legendre quadrature, isotopic subs...

A new family of wavelets is introduced, which is associated with Legendre polynomials. These wavelets, termed spherical harmonic or Legendre wavelets, possess compact support. The method for the wavelet construction is derived from the association of ordinary second order differential equations with multiresolution filters. The low-pass filter associated to Legendre multiresolution analysis is ...

In our paper we construct a polynomial Schauder basis (pα,β,n)n∈N0 of optimal degree with Jacobi orthogonality. A candidate for such a basis is given by the use of some wavelet theoretical methods, which were already successful in case of Tchebysheff and Legendre orthogonality. To prove that this sequence is in fact a Schauder basis for C[−1, 1] and as the main difficulty of the whole proof we ...

A finite basis set particularly adapted for solving the Hartree-Fock equation for diatomic molecules in prolate spheroidal coordinates has been constructed. These basis functions have been devised as products of B-splines times associated Legendre polynomials. Due to the large number of B-splines, the resulting set of eigenfunctions is amply distributed over excited states. This gives the possi...

Estimating the temperature field of a building envelope could be time-consuming task. The use reduced-order method is then proposed: Proper Generalized Decomposition method. solution transient heat equation re-written as function its parameters: boundary conditions, initial condition, etc. To avoid tremendous number parameters, condition parameterized. This usually done by using Orthogonal to p...

Classic wavelet methods were developed in the Euclidean spaces for multiscale representation and analysis of regularly sampled signals (time series) and images. This paper introduces a method of representing scattered spherical data by multiscale spherical wavelets. The method extends the recent pioneering work of Narcowich and Ward [Appl. Comput. Harmon. Anal., 3 (1996), pp. 324–336] by employ...

Recently, there has been an increasing interest in the study of singular and perturbed systems. In this paper we propose a collocation method for solving singularly perturbed Volterra integro-differential and Volterra integral equations. The method is based upon radial basis functions, using zeros of the shifted Legendre polynomial as the collocation points. The results of numerical experiments...

On the basis of our Fokker-Planck code “FPI”, a new kernel for nonlocal electron transport in plasmas has been developed. Large scale simulations of plasma macroscopic characteristics have been made by using both this Fokker-Planck and a new Hydrodynamic code using the new kernel [1]. However, these simulations were made with the approximation of spherical Rosenbluth potentials. We have now add...

A Legendre spectral collocation method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which are linear combinations of Legendre polynomials. A Schur complement approach is used to reduce the resulting linear system to one involving the approximation of the Laplacia...