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Finite Projective Geometry based Fast, Conflict-free Parallel Matrix Computations
Distributed Computing Parallel Algorithms Parallel Processing
2011/9/29
Abstract: Matrix computations, especially iterative PDE solving (and the sparse matrix vector multiplication subproblem within) using conjugate gradient algorithm, and LU/Cholesky decomposition for so...
Convergence of Inner Iterations Scheme of the Discrete Ordinate Method in Spherical Geometry
2007/12/12
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...
ALGEBRAIC-GEOMETRY FOUNDATION FOR CONSTRUCTING SMOOTH INTERPOLANTS ON CURVED SIDES ELEMENT
2007/12/11
The aim of this paper is to lay a algebraic geometry foundation for
constructing smoothing interpolants on curved side element.
Some interpolation theorems in polynomial space are given. The main re...
Convergence Analysis of Discrete Differential Geometry Operators over Surfaces
Normal estimation Surface triangulation Convergence
2012/8/1
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...