A Comparison of Gauss Elimination Method for Dense Linear Systems on Hypercube and Mesh Parallel Architectures

2018 ◽  
Author(s):  
Anvesha Katti
Author(s):  
Xiao Liu ◽  
Lei Xu

The Central Processing Unit (CPU) parallel algorithm based on Computing Unified Device Architecture (CUDA) has shown great power of computing speedup ability. What performance will the new technique show in the field of structural computation? We choose the Gauss elimination method as the research object. In this study, the parallel Gauss elimination is realized in CUDA on GPU. Furthermore, we carry out two groups of numerical experiments. The first group investigates the effect of Matrix Bandwidths (MBs) and Node Numbers (NNs) on speedup ratio. The second one compares our method with the commercial software by analyzing two actual structural problems in ocean engineering.


2013 ◽  
Vol 13 (1) ◽  
pp. 15
Author(s):  
Harry S.J Koleangan

ANALISIS KONSENTRASI CAMPURAN SENYAWA MENGGUNAKAN VB 2008 ABSTRAK Telah dibuat sebuah program aplikasi menggunakan VB 2008 yang ditujukan untuk menganalisis suatu larutan yang berisi campuran senyawa etil-benzena, o-silena, m-silena, dan p-silena. Konsentrasi dari masing-masing senyawa ini ditentukan menggunakan metode eliminasi Gauss dalam bentuk program komputer yang ditulis menggunakan bahasa pemrograman Visual Basic 2008. Penggunaan program ini terhadap suatu data sekunder, memberikan hasil konsentrasi (dalam satuan molar) sebagai berikut: etil-benzena = 0,04153, o-silena = 0,04067, m-silena = 0,02772,  dan p-silena = 0,02522. Kata kunci: Metode Gauss, VB 2008   ANALYSIS OF MIXED CPMPOUND CONCENTRATION USING VB 2008 ABSTRACT A VB 2008-based  application program  to analyze  a solution containing four different compounds, which are ethyl-benzene, o-xylene, m-xylene, and p-xylene, has been built. Concentration of each compound was then determined by using Gauss elimination method in the form of computer program written in Visual Basic 2008 programming language. Application of the program using the secondary data shows that concentrations (in molar) of each compuound are as follows: ethyl-benzene = 0,04153, o-xylena = 0,04067, m- xylena = 0,02772,  and p- xylena = 0,02522. Keywords: Gauss method, VB 2008


2009 ◽  
Vol 47 (3) ◽  
pp. 1027-1037 ◽  
Author(s):  
John P. Killingbeck ◽  
Alain Grosjean

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