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MOC
2010
12 years 11 months ago
A new elasticity element made for enforcing weak stress symmetry
Abstract. We introduce a new mixed method for linear elasticity. The novelty is a simplicial element for the approximate stress. For every positive integer k, the row-wise divergen...
Bernardo Cockburn, Jayadeep Gopalakrishnan, Johnny...
MOC
2010
12 years 11 months ago
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
In this paper, a Jacobi-collocation spectral method is developed for Volterra integral equations of the second kind with a weakly singular kernel. We use some function transformati...
Yanping Chen, Tao Tang
MOC
2010
12 years 11 months ago
An effective matrix geometric mean satisfying the Ando-Li-Mathias properties
Abstract. We propose a new matrix geometric mean satisfying the ten properties given by Ando, Li and Mathias [Linear Alg. Appl. 2004]. This mean is the limit of a sequence which co...
Dario Andrea Bini, Beatrice Meini, Federico Poloni
MOC
2010
12 years 11 months ago
On the convergence of Hill's method
Hill's method is a means to numerically approximate spectra of linear differential operators with periodic coefficients. In this paper, we address different issues related to...
Christopher W. Curtis, Bernard Deconinck
13
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MOC
2010
12 years 11 months ago
Error bound between monotone difference schemes and their modified equations
It is widely believed that if monotone difference schemes are applied to the linear convection equation with discontinuous initial data, then solutions of the monotone schemes are ...
Zhen-Huan Teng
MOC
2010
12 years 11 months ago
The period of the Bell numbers modulo a prime
We discuss the numbers in the title, and in particular whether the minimum period of the Bell numbers modulo a prime p can be a proper divisor of Np = (pp - 1)/(p - 1). It is known...
Peter L. Montgomery, Sangil Nahm, Samuel S. Wagsta...
MOC
2010
12 years 11 months ago
Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem
We consider the application of a perfectly matched layer (PML) technique to approximate solutions to the elastic wave scattering problem in the frequency domain. The PML is viewed ...
James H. Bramble, Joseph E. Pasciak, Dimitar Trene...
MOC
2010
12 years 11 months ago
hp-Optimal discontinuous Galerkin methods for linear elliptic problems
Abstract. The aim of this paper is to present and analyze a class of hpversion discontinuous Galerkin (DG) discretizations for the numerical approximation of linear elliptic proble...
Benjamin Stamm, Thomas P. Wihler
MOC
2010
12 years 11 months ago
Sharpness in rates of convergence for the symmetric Lanczos method
The Lanczos method is often used to solve a large and sparse symmetric matrix eigenvalue problem. There is a well-established convergence theory that produces bounds to predict the...
Ren-Cang Li