Organization of parallel computations to calculate the 3D heat equation using Java on High Performance Computing Systems

Authors

  • B Matkerim Әл-Фараби атындағы Қазақ ұлттық университетi, Алматы, Қазақстан
  • D Zh Akhmed-Zaki Әл-Фараби атындағы Қазақ ұлттық университетi, Алматы, Қазақстан
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Keywords:

mpiJava, параллельдi алгоритм, декомпозициялау, жылу өткiзгiштiк теңдеуi

Abstract

We carried out a study of technology development of the parallel algorithm for computing the 3-D heat equation using mpiJava technologies, as well as the organization of parallel computations with different levels of decomposition. The obtained approximate solution is compared with the analytical solution, while achieving sufficient accuracy of solutions.

References

[1] Самарский А.А. Введение в численые методы Москва: Наука P. 230.

[2] Атанбаев С. Сандық әдiстердiң алгоритмдерi «Бiлiм» баспасы. 87 б.

[3] Mark Baker mpiJava: A Java interface to MPI University of Portsmouth Southsea

[4] Томас Б. VI Российско-Германская школа по параллельным вычислениям на высокопроизводительных вычислительных системах Новосибирск 2011 P.81.

[5] Букатов А. А., Дацюк В. Н., Жегуло А. И. Программирование многопроцессорных вычислительных систем. Ростов-на-Дону. Издательство ООО «ЦВВР», 2003, 208 с.

[6] http://www.hpjava.org/courses/arl/lectures/mpi.ppt

[7] http://www.hpjava.org/reports/mpiJava-spec/mpiJava-spec.pdf

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How to Cite

Matkerim, B., & Akhmed-Zaki, D. Z. (2012). Organization of parallel computations to calculate the 3D heat equation using Java on High Performance Computing Systems. Journal of Mathematics, Mechanics and Computer Science, 72(1), 54–64. Retrieved from https://bm.kaznu.kz/index.php/kaznu/article/view/128

Issue

Vol. 72 No. 1 (2012): Journal of Mathematics, Mechanics and Computer Science

Section

Computer Science