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A new parallel algorithm for the numerical integration of ordinary differential equations is proposed. The algorithm is based on the predictor and corrector formulae and their iterative use. An equation which describes the error propagation of the proposed algorithm is derived and discussed. The reliability and convergence properties of the solutions are studied by performing the numerical experiments on a conventional computer system for some specific examples. It is found that the proposed algorithm is indeed a practical one for a concurrentt system such as a multiprocessor and a vector processor, and offers much greater computing speed than the existing algorithms.

- Publication
- IEICE TRANSACTIONS on transactions Vol.E70-E No.1 pp.49-55

- Publication Date
- 1987/01/25

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- PAPER

- Category
- Algorithm, Computational Complexity

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Susumu HORIGUCHI, Yoshiyuki KAWAZOE, Hisashi NARA, "An Algorithm of Parallel Processing for Integration of Ordinary Differential Equations" in IEICE TRANSACTIONS on transactions,
vol. E70-E, no. 1, pp. 49-55, January 1987, doi: .

Abstract: A new parallel algorithm for the numerical integration of ordinary differential equations is proposed. The algorithm is based on the predictor and corrector formulae and their iterative use. An equation which describes the error propagation of the proposed algorithm is derived and discussed. The reliability and convergence properties of the solutions are studied by performing the numerical experiments on a conventional computer system for some specific examples. It is found that the proposed algorithm is indeed a practical one for a concurrentt system such as a multiprocessor and a vector processor, and offers much greater computing speed than the existing algorithms.

URL: https://global.ieice.org/en_transactions/transactions/10.1587/e70-e_1_49/_p

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@ARTICLE{e70-e_1_49,

author={Susumu HORIGUCHI, Yoshiyuki KAWAZOE, Hisashi NARA, },

journal={IEICE TRANSACTIONS on transactions},

title={An Algorithm of Parallel Processing for Integration of Ordinary Differential Equations},

year={1987},

volume={E70-E},

number={1},

pages={49-55},

abstract={A new parallel algorithm for the numerical integration of ordinary differential equations is proposed. The algorithm is based on the predictor and corrector formulae and their iterative use. An equation which describes the error propagation of the proposed algorithm is derived and discussed. The reliability and convergence properties of the solutions are studied by performing the numerical experiments on a conventional computer system for some specific examples. It is found that the proposed algorithm is indeed a practical one for a concurrentt system such as a multiprocessor and a vector processor, and offers much greater computing speed than the existing algorithms.},

keywords={},

doi={},

ISSN={},

month={January},}

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TY - JOUR

TI - An Algorithm of Parallel Processing for Integration of Ordinary Differential Equations

T2 - IEICE TRANSACTIONS on transactions

SP - 49

EP - 55

AU - Susumu HORIGUCHI

AU - Yoshiyuki KAWAZOE

AU - Hisashi NARA

PY - 1987

DO -

JO - IEICE TRANSACTIONS on transactions

SN -

VL - E70-E

IS - 1

JA - IEICE TRANSACTIONS on transactions

Y1 - January 1987

AB - A new parallel algorithm for the numerical integration of ordinary differential equations is proposed. The algorithm is based on the predictor and corrector formulae and their iterative use. An equation which describes the error propagation of the proposed algorithm is derived and discussed. The reliability and convergence properties of the solutions are studied by performing the numerical experiments on a conventional computer system for some specific examples. It is found that the proposed algorithm is indeed a practical one for a concurrentt system such as a multiprocessor and a vector processor, and offers much greater computing speed than the existing algorithms.

ER -