On the parallel solution of parabolic equations:
Abstract: "We propose new parallel algorithms for the solution of linear parabolic problems. The first of these methods is based on using polynomial approximation to the exponential. It does not require solving any linear systems and is highly parallelizable. The two other methods proposed are...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Urbana, Ill.
1989
|
| Series: | Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report
854 |
| Subjects: | |
| Summary: | Abstract: "We propose new parallel algorithms for the solution of linear parabolic problems. The first of these methods is based on using polynomial approximation to the exponential. It does not require solving any linear systems and is highly parallelizable. The two other methods proposed are based on Padé and Chebyshev approximations to the matrix exponential. The parallelization of these methods is achieved by using partial fraction decomposition techniques to solve the resulting systems and thus offers the potential for increased time parallelism in time dependent problems. We also present experimental results from the Alliant FX/8 and the Cray Y-MP/832 vector multiprocessors." |
| Physical Description: | 22 S. |
Staff View
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| 100 | 1 | |a Gallopoulos, Efstratios |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a On the parallel solution of parabolic equations |c E. Gallopoulos and Y. Saad |
| 264 | 1 | |a Urbana, Ill. |c 1989 | |
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| 520 | 3 | |a Abstract: "We propose new parallel algorithms for the solution of linear parabolic problems. The first of these methods is based on using polynomial approximation to the exponential. It does not require solving any linear systems and is highly parallelizable. The two other methods proposed are based on Padé and Chebyshev approximations to the matrix exponential. The parallelization of these methods is achieved by using partial fraction decomposition techniques to solve the resulting systems and thus offers the potential for increased time parallelism in time dependent problems. We also present experimental results from the Alliant FX/8 and the Cray Y-MP/832 vector multiprocessors." | |
| 650 | 4 | |a Differential equations, Partial |x Numerical solutions |x Computer programs | |
| 700 | 1 | |a Saad, Yousef |e Verfasser |0 (DE-588)1025729978 |4 aut | |
| 830 | 0 | |a Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report |v 854 |w (DE-604)BV008930033 |9 854 | |
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| bvnumber | BV009258338 |
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| id | DE-604.BV009258338 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:34:01Z |
| institution | BVB |
| language | English |
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| physical | 22 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
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| series | Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report |
| series2 | Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report |
| spelling | Gallopoulos, Efstratios Verfasser aut On the parallel solution of parabolic equations E. Gallopoulos and Y. Saad Urbana, Ill. 1989 22 S. txt rdacontent n rdamedia nc rdacarrier Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report 854 Abstract: "We propose new parallel algorithms for the solution of linear parabolic problems. The first of these methods is based on using polynomial approximation to the exponential. It does not require solving any linear systems and is highly parallelizable. The two other methods proposed are based on Padé and Chebyshev approximations to the matrix exponential. The parallelization of these methods is achieved by using partial fraction decomposition techniques to solve the resulting systems and thus offers the potential for increased time parallelism in time dependent problems. We also present experimental results from the Alliant FX/8 and the Cray Y-MP/832 vector multiprocessors." Differential equations, Partial Numerical solutions Computer programs Saad, Yousef Verfasser (DE-588)1025729978 aut Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report 854 (DE-604)BV008930033 854 |
| spellingShingle | Gallopoulos, Efstratios Saad, Yousef On the parallel solution of parabolic equations Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report Differential equations, Partial Numerical solutions Computer programs |
| title | On the parallel solution of parabolic equations |
| title_auth | On the parallel solution of parabolic equations |
| title_exact_search | On the parallel solution of parabolic equations |
| title_full | On the parallel solution of parabolic equations E. Gallopoulos and Y. Saad |
| title_fullStr | On the parallel solution of parabolic equations E. Gallopoulos and Y. Saad |
| title_full_unstemmed | On the parallel solution of parabolic equations E. Gallopoulos and Y. Saad |
| title_short | On the parallel solution of parabolic equations |
| title_sort | on the parallel solution of parabolic equations |
| topic | Differential equations, Partial Numerical solutions Computer programs |
| topic_facet | Differential equations, Partial Numerical solutions Computer programs |
| volume_link | (DE-604)BV008930033 |
| work_keys_str_mv | AT gallopoulosefstratios ontheparallelsolutionofparabolicequations AT saadyousef ontheparallelsolutionofparabolicequations |