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We study how parallel chip-firing on the complete graph Kn changes behavior as we vary the total number of chips. Surprisingly,the activity of the system, defined as the average number of firings per ...
We present new scalable algorithms and an implementation of the kernel-independent fast multiple method (KIFMM), employing hybrid distributed memory message passing (via MPI) and shared memory/streami...
An efficient parallel algorithm is presented for computing selected components of A−1 where A is a structured symmetric sparse matrix. Calculations of this type are useful for several applicatio...
We describe a parallel fast multipole method (FMM) for highly nonuniform distributions of particles. We employ both distributed memory parallelism (via MPI) and shared memory parallelism (via OpenMP a...
A parallelization of a sweeping preconditioner for 3D Helmholtz equations without internal resonance is introduced and benchmarked for several challenging velocity models. The setup and application co...
The butterfly algorithm is a fast algorithm which approximately evaluates a discrete analogue of the integral transform Rd K(x, y)g(y)dy at large numbers of target points when the kernel, K(x, y), is...
This paper introduces a parallel directional fast multipole method (FMM) for solving N-body problems with highly oscillatory kernels, with a focus on the Helmholtz kernel in three dimensions. This cla...
The purpose of this paper is to carryout the cost-benefit analysis of a two-unit system in which units work in parallel and becomes degraded after repair. There is a single repairman who visits the sy...
In this paper we well introduce a new decoding algorithm for generalized parallel concatenated block codes(GPCB). We are interested in decoding generalized parallel concatenated block codes based on t...
We study a four terminal parallel relay-eavesdropper channel which consists of multiple independent relay-eavesdropper channels as subchannels. For the discrete memoryless case, we establish inner an...
In this paper, we first derive an absolutely stable implicit finite difference scheme with four order accurate in spatial step size and two order in time step size for diffusion equations. Based on th...
Based on a high order absolutely stable implicit scheme, we construct the alternating group explicit iterative method (AGEI) for four order parabolic equations. The method is verified to be convergent...
In this paper, we consider the initial boundary value problems of 1D diffusion equations. Based on a high order absolutely stable implicit scheme, we first construct two saul’yev asymmetry iterative s...
The present problem deals with the laminar °ow of an electri- cally conducting viscous incompressible °uid with embedded non-conducting identical spherical particles through a long channel under in°...
This paper discusses the reliability equivalences of a parallel- series system. It is assumed that the system components are independent and identical. Each has a constant failure rate. We assumed t...

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