Matrix computations, especially iterative PDE solving (and the sparse matrix vector multiplication subproblem within) using conjugate gradient algorithm, and LU/Cholesky decomposition for solving system of linear equations, form the kernel of many applications, such as circuit simulators, computational fluid dynamics or structural analysis etc. The problem of designing approaches for paralleliz...

• An improved pseudo-spherical shell (IPSS) algorithm has been developed. The IPSS is highly accurate for the Earth atmosphere. This work will greatly improve remote sensing of environment in polar regions. radiative transfer solution a plane-parallel geometry good approximation many applications or other planetary systems as Earth’s radius quite large ( ∼ 6371 km). however problematic regions ...

A complete analysis is presented for the far-field creeping flow produced by a multipolar force distribution in a fluid confined between two parallel planar walls. We show that at distances larger than several wall separations the flow field assumes the Hele–Shaw form, i.e. it is parallel to the walls and varies quadratically in the transverse direction. The associated pressure field is a two-d...

We study scalable parallel computational geometry algorithms for the coarse grained multicomputermodel: p processors solving a problem on n data items, were each processor has O( p ) O(1) local memory and all processors are connected via some arbitrary interconnection network (e.g. mesh, hypercube, fat tree). We present O(sequential p + Ts(n; p)) time scalable parallel algorithms for several co...

The Information Geometry of extended exponential families has received much recent attention in a variety of important applications, notably categorical data analysis, graphical modelling and, more specifically, log-linear modelling. The essential geometry here comes from the closure of an exponential family in a high-dimensional simplex. In parallel, there has been a great deal of interest in ...

Parallel manipulators have a specific mechanical architecture where all the links are connected both at the base and at the gripper of the robot. By changing the lengths of these links we are able to control the position 1 of the gripper. In general for a given set of links lengths there is only one position for the gripper. But it may be suspected that in some In this paper position means posi...

The evolution of requirements for mechanical products toward higher performances, coupled with never ending demands for shorter product design cycle, has intensified the need for exploring new architectures and better design methodologies in order to search the optimal solutions in a larger design space including those with greater complexity which are usually not addressed by available design ...

1. INTRODUCTION. Among the theorems of plane geometry, a privileged position is held by those that are true in neutral geometry, that is, without either assuming or denying the parallel postulate. Such, for example, are the first twenty-eight propositions of Euclid's Elements, including the triangle congruences SAS (I.4), 1 SSS (I.8), ASA (I.26), and the base angles of an isosceles triangle are...

the aim of this paper is to show the importance of analytic hyperbolic geometry introduced in [9]. in [1], ungar and chen showed that the algebra of the group sl(2,c) naturally leads to the notion of gyrogroups and gyrovector spaces for dealing with the lorentz group and its underlying hyperbolic geometry. they defined the chen addition and then chen model of hyperbolic geometry. in this paper,...

In this paper, we describe efficient MapReduce simulations of parallel algorithms specified in the BSP and PRAM models. We also provide some applications of these simulation results to problems in parallel computational geometry for the MapReduce framework, which result in efficient MapReduce algorithms for sorting, 1-dimensional all nearest-neighbors, 2-dimensional convex hulls, 3-dimensional ...