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MOC
2010
13 years 6 months ago
Computing a lower bound for the canonical height on elliptic curves over number fields
Computing a lower bound for the canonical height is a crucial step in determining a Mordell
Thotsaphon Thongjunthug
MOC
2010
13 years 6 months ago
Discontinuous Galerkin approximations of the Stokes and Navier-Stokes equations
Numerical schemes to compute approximate solutions of the evolutionary Stokes and Navier-Stokes equations are studied. The schemes are discontinuous in time and conforming in space...
Konstantinos Chrysafinos, Noel Walkington
MOC
2010
13 years 6 months ago
On interpolation by Planar cubic G2 pythagorean-hodograph spline curves
In this paper, the geometric interpolation of planar data points and boundary tangent directions by a cubic G2 Pythagorean-hodograph (PH) spline curve is studied. It is shown, that...
Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito ...
MOC
2010
13 years 6 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
13 years 6 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
13 years 6 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
13 years 6 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
MOC
2010
13 years 6 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
13 years 6 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...