UMBC Mathematics and Statistics Department
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Recent Submissions

Least Sparsity of pNorm Based Optimization Problems with p>1*
(Society for Industrial and Applied Mathematics, 20180927)Motivated by lpoptimization arising from sparse optimization, highdimensional data analytics and statistics, this paper studies sparse properties of a wide range of pnorm based optimization problems with p > 1, including ... 
A parallel simulation of the evolution of transcription factor binding sites
(20110527)The analysis of transcription factor binding motifs may aid in understanding the process by which transcription factors recognize their binding sites. We wish to investigate the likelihood that transcription factors use ... 
Water Quality Monitoring of Maryland’s Tidal Waterways
(2012)The Chesapeake Bay and its surrounding tributaries are home to over 3,600 species of plants and animals. In order to assess the health of the region, the Maryland Department of Natural Resources (DNR) monitors various ... 
Validation of a Model of a Resonant Optothermoacoustic Trace Gas Sensor
(OSA, 201106)A model for a resonant optothermoacoustic sensor is validated by comparison with experiments performed with 0.5% acetylene in nitrogen. At low concentrations, the molecular dynamics of the trace gas do not influence the signal. 
Numerical and Experimental Investigation for a Resonant Optothermoacoustic Sensor
(IEEE, 20100701)A theoretical study of a resonant optothermoacoustic sensor employing a laser source and a quartz tuning fork receiver validates experimental results showing that the source should be positioned near the base of the receiver. 
The Optimal Relaxation Parameter for the SOR Method Applied to the Poisson Equation in Any Space Dimensions
(Elsevier Ltd, 20090324)The finite difference discretization of the Poisson equation with Dirichlet boundary conditions leads to a large, sparse system of linear equations for the solution values at the interior mesh points. This problem is a ... 
The Influence of Stochastic Parameters on Calcium Waves in a Heart Cell
(2013)Calcium is a critical component in many cellular functions. It serves many important functions such as signal transduction, contraction of muscles, enzyme function, and maintaining potential difference across excitable ... 
The Graph 500 Benchmark on a MediumSize DistributedMemory Cluster with HighPerformance Interconnect
(20121217)While traditional performance benchmarks for highperformance computers measure the speed of arithmetic operations, memory access time is a more useful performance gauge for many large problems today. The Graph 500 benchmark ... 
Study of Free Alternative Numerical Computation Packages
(Society for Industrial and Applied Mathematics, 2011)Matlab is the most popular commercial package for numerical computations in mathematics, statistics, the sciences, engineering, and other fields. Octave, FreeMat, and Scilab are free numerical computational packages that ... 
Sampling Within kMeans Algorithm to Cluster Large Datasets
(2011)Due to current data collection technology, our ability to gather data has surpassed our ability to analyze it. In particular, kmeans, one of the simplest and fastest clustering algorithms, is illequipped to handle extremely ... 
Performance Studies with COMSOL Multiphysics via Scripting and Batch Processing
(2009)COMSOL Multiphysics is an extremely powerful and versatile finite element package for the solution of partial differential equations. While the graphical user interface (GUI) offers a friendly environment for solving small ... 
Performance Studies for Multithreading in Matlab with Usage Instructions on hpc
(2009)This report explores the use of multiple computational cores by multithreading in the software package Matlab on a compute node with two dualcore AMD Opteron processors. After testing the builtin functions of Matlab for ... 
Performance Comparison between Blocking and NonBlocking Communications for a ThreeDimensional Poisson Problem
(2009)The system of linear equations obtained by finite difference discretization of the threedimensional Poisson problem is solved by a matrixfree parallel implementation of the Jacobi method. After checking the convergence ... 
Parameter Estimation for the DirichletMultinomial Distribution
(20110520)In the 1998 paper entitled Large Cluster Results for Two Parametric Multinomial Extra Variation Models, Nagaraj K. Neerchal and Jorge G. Morel developed an approximation to the Fisher information matrix used in the Fisher ... 
Parallel studies for chemically reacting systems
(20090806)Parallel computing code can be applied to solve chemically reacting systems. In a well stirred chemical system, the number of molecules for each species can be solved by implicit tau method, and the histogram of the method ... 
Parallelization of Matrix Factorization for Recommender Systems
(2010)Recommender systems are emerging as important tools for improving customer satisfaction by mathematically predicting user preferences. Several major corporations including Amazon.com and Pandora use these types of systems ... 
Parallel Performance Studies for an Elliptic Test Problem on the Stampede2 Cluster and Comparison of Networks
(2018)We study the parallel performance of dualsocket compute nodes with Intel Xeon Platinum 8160 Skylake CPUs with 24 cores and 192 GB of memory, connected by a 100 Gbps Intel OmniPath (OPA) interconnect. The experimenets use ... 
Parallel Performance Studies for an Elliptic Test Problem on the Cluster tara
(2010)The performance of parallel computer code depends on an intricate interplay of the processors, the architecture of the compute nodes, their interconnect network, the numerical algorithm, and its implementation. The solution ... 
Parallel Performance Studies for an Elliptic Test Problem
(2008)The performance of parallel computer code depends on an intricate interplay of the processors, the architecture of the compute nodes, their interconnect network, the numerical algorithm, and the scheduling policy used. The ... 
Parallel Performance Studies for a ThreeSpecies Application Problem on the Cluster tara
(2010)High performance parallel computing depends on the interaction of a number of factors including the processors, the architecture of the compute nodes, their interconnect network, and the numerical code. In this note, we ...