Parallel Tridiagonal Equation Solvers
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date1975/12/01
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Indian UGC (journal)
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Refrences7
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Citations81
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Harold S. Stone Department of Electrical and Computer Engineering, University of Massachusetts, Amherst, Mass.
Cite
Stone, Harold S. “Parallel Tridiagonal Equation Solvers”. ACM Transactions on Mathematical Software, vol. 1, no. 4, 1975, pp. 289-07, https://doi.org/10.1145/355656.355657.
Stone, H. S. (1975). Parallel Tridiagonal Equation Solvers. ACM Transactions on Mathematical Software, 1(4), 289-307. https://doi.org/10.1145/355656.355657
Stone HS. Parallel Tridiagonal Equation Solvers. ACM Transactions on Mathematical Software. 1975;1(4):289-307.
Journal Categories
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Computer software
Technology
Electrical engineering
Electronics
Nuclear engineering
Electronics
Computer engineering
Computer hardware
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| On Direct Methods for Solving Poisson’s Equations | SIAM Journal on Numerical Analysis |
| 458 | 1970 |
| Computational Aspects of Three-Term Recurrence Relations | SIAM Review |
| 424 | 1967 |
| Complexity of Sequentzal and Parallel Numerical Algorithms | 1973 | |||
An Efficient Parallel Algorithm for the Solution of a Tridiagonal Linear System of Equations | Journal of the ACM |
| 165 | 1973 |
| The Solution of Tridiagonal Linear Systems on the CDC STAR 100 Computer | ACM Transactions on Mathematical Software |
| 68 | 1975 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| The N-shaped partition method: A novel parallel implementation of the Crank Nicolson algorithm | Computer Physics Communications |
| 2023 | |
| Parallel tridiagonal matrix inversion with a hybrid multigrid-Thomas algorithm method | Journal of Computational and Applied Mathematics |
| 1 | 2022 |
Parallel optimization of underwater acoustic models: A survey | Chinese Physics B |
| 1 | 2022 |
A propagation matrix method for the solution of the parabolic equation in ocean acoustics | The Journal of the Acoustical Society of America |
| 2 | 2019 |
| Hybrid MPI/Open-MP acceleration approach for high-order schemes for CFD | Journal of Physics: Conference Series | 2 | 2018 |
Citations Analysis
The category
Science: Mathematics: Instruments and machines: Electronic computers. Computer science 32
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The Solution of Tridiagonal Linear Systems on the CDC STAR 100 Computer and was published in 1975. The most recent citation comes from a 2023 study titled The N-shaped partition method: A novel parallel implementation of the Crank Nicolson algorithm. This article reached its peak citation in 1991, with 6 citations. It has been cited in 46 different journals. Among related journals, the Parallel Computing cited this research the most, with 10 citations. The chart below illustrates the annual citation trends for this article.