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We shall establish a discrete weighted Helmholtz decomposition in edge element spaces, which is stable uniformly with respect to the jumps in the discontinuous weight function. The stable decomposit...
Using several kinds of Darboux transformations, we standardize the non- canonical symplectic structure of Ablowitz-Ladik model (A-L model) of the Nonlinear Schr膐dinger Equation (NLSE), then we emplo...
We propose a dirential dirence equation in R1 ?Z2 and study it by Hirota's bilinear method. This equation has a singular continuum limit into a system which admits the reduction to the Davey-Stewa...
Abstract: The general topic of the present paper is to study the conservation for some structural property of a given problem when discretising this problem. Precisely we are interested with Lagrangia...
In transport theory, the convergence of the inner iteration scheme to the spherical neutron transport equation has been an open problem. In this paper, the inner iteration for a positive step function...
The Computational Discrete Mathematics Group uses concepts from discrete mathematics, such as combinatorics, number theory, and algebra, to develop algorithms and high performance implementations for ...
The Centre for Discrete Mathematics and Theoretical Computer Science, CDMTCS, which is a joint venture involving the Computer Science and Mathematics Departments of the University of Auckland in New Z...
In this paper, we study the convergence property of several discrete schemes of the surface normal.We show that the arithmetic mean, the area-weighted averaging, and the angle-weighted averaging schem...
We give discrete variational principle and integral algorithm for the finite dimensional Lagrange-Maxwell mechanico-electrical system, which includes nonconservative force and dissipative function. Th...
The convergence property of the discrete Laplace-Beltrami operators is the foundation of convergence analysis of the numerical simulation process of some geometric partial dirential equations which i...
In this paper we first modify a widely used discrete Laplace Beltrami operator proposed by Meyer et al over triangular surfaces, and then establish some convergence results for the modi痚d discrete Lap...

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