Zobrazeno 1 - 10
of 363
pro vyhledávání: '"Gimbutas, A. A."'
We present a fast method for evaluating expressions of the form $$ u_j = \sum_{i = 1,i \not = j}^n \frac{\alpha_i}{x_i - x_j}, \quad \text{for} \quad j = 1,\ldots,n, $$ where $\alpha_i$ are real numbers, and $x_i$ are points in a compact interval of
Externí odkaz:
http://arxiv.org/abs/1907.03873
A numerical scheme is developed for the evaluation of Abramowitz functions $J_n$ in the right half of the complex plane. For $n=-1,\, \ldots,\, 2$, the scheme utilizes series expansions for $|z|<1$ and asymptotic expansions for $|z|>R$ with $R$ deter
Externí odkaz:
http://arxiv.org/abs/1906.12023
We present a fast summation method for lattice sums of the type which arise when solving wave scattering problems with periodic boundary conditions. While there are a variety of effective algorithms in the literature for such calculations, the approa
Externí odkaz:
http://arxiv.org/abs/1609.08523
We derive new formulas for the fundamental solutions of slow, viscous flow, governed by the Stokes equations, in a half-space. They are simpler than the classical representations obtained by Blake and collaborators, and can be efficiently implemented
Externí odkaz:
http://arxiv.org/abs/1504.00102
Publikováno v:
In Applied and Computational Harmonic Analysis November 2020 49(3):815-830
Publikováno v:
In Journal of Computational Physics 15 March 2020 405
We present a new formulation for the problem of electromagnetic scattering from perfect electric conductors. While our representation for the electric and magnetic fields is based on the standard vector and scalar potentials ${\bf A},\phi$ in the Lor
Externí odkaz:
http://arxiv.org/abs/1404.0749
Autor:
Gimbutas, Zydrunas, Greengard, Leslie
In this paper, we present a fast multipole method (FMM) for the half-space Green's function in a homogeneous elastic half-space subject to zero normal stress, for which an explicit solution was given by Mindlin (1936). The image structure of this Gre
Externí odkaz:
http://arxiv.org/abs/1404.0036
We present a simple, accurate method for solving consistent, rank-deficient linear systems, with or without addi- tional rank-completing constraints. Such problems arise in a variety of applications, such as the computation of the eigenvectors of a m
Externí odkaz:
http://arxiv.org/abs/1401.3068
Autor:
Epstein, Charles L., Gimbutas, Zydrunas, Greengard, Leslie, Klöckner, Andreas, O'Neil, Michael
A classical problem in electromagnetics concerns the representation of the electric and magnetic fields in the low-frequency or static regime, where topology plays a fundamental role. For multiply connected conductors, at zero frequency the standard
Externí odkaz:
http://arxiv.org/abs/1203.3993