### Abstract

This paper proposes an efficient parallel processing scheme for the solution of explicit ordinary differential equations. The calculations required for the solution of ordinary differential equations by the use of some numerical integration formulae generally involve arithmetic (scalar) assignment statements with complicated data dependencies. For the reason, no efficient parallel processing schemes have so far been developed. The parallel processing scheme proposed in this paper can attain minimum processing time with an arbitrary number of parallel processors by the use of the efficient static multiprocessor scheduling algorithms developed by the authors. Its practicality is confirmed on a general-purpose multiprocessor system named OSCAR (Optimally Scheduled Advanced Multiprocessor), which is being developed by the authors to extract advantageous features of scheduling algorithms to the maximum extent.

Original language | English |
---|---|

Title of host publication | Bulletin of Centre for Informatics (Waseda University) |

Pages | 1-8 |

Number of pages | 8 |

Volume | 8 |

Publication status | Published - 1988 Sep |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Bulletin of Centre for Informatics (Waseda University)*(Vol. 8, pp. 1-8)

**Parallel processing of the solution of ordinary differential equations on a general purpose multiprocessor system OSCAR.** / Kasahara, Hironori; Takane, Eiji; Sato, Haruya; Hisanaga, Yuji; Narita, Seinosuke.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Bulletin of Centre for Informatics (Waseda University).*vol. 8, pp. 1-8.

}

TY - CHAP

T1 - Parallel processing of the solution of ordinary differential equations on a general purpose multiprocessor system OSCAR

AU - Kasahara, Hironori

AU - Takane, Eiji

AU - Sato, Haruya

AU - Hisanaga, Yuji

AU - Narita, Seinosuke

PY - 1988/9

Y1 - 1988/9

N2 - This paper proposes an efficient parallel processing scheme for the solution of explicit ordinary differential equations. The calculations required for the solution of ordinary differential equations by the use of some numerical integration formulae generally involve arithmetic (scalar) assignment statements with complicated data dependencies. For the reason, no efficient parallel processing schemes have so far been developed. The parallel processing scheme proposed in this paper can attain minimum processing time with an arbitrary number of parallel processors by the use of the efficient static multiprocessor scheduling algorithms developed by the authors. Its practicality is confirmed on a general-purpose multiprocessor system named OSCAR (Optimally Scheduled Advanced Multiprocessor), which is being developed by the authors to extract advantageous features of scheduling algorithms to the maximum extent.

AB - This paper proposes an efficient parallel processing scheme for the solution of explicit ordinary differential equations. The calculations required for the solution of ordinary differential equations by the use of some numerical integration formulae generally involve arithmetic (scalar) assignment statements with complicated data dependencies. For the reason, no efficient parallel processing schemes have so far been developed. The parallel processing scheme proposed in this paper can attain minimum processing time with an arbitrary number of parallel processors by the use of the efficient static multiprocessor scheduling algorithms developed by the authors. Its practicality is confirmed on a general-purpose multiprocessor system named OSCAR (Optimally Scheduled Advanced Multiprocessor), which is being developed by the authors to extract advantageous features of scheduling algorithms to the maximum extent.

UR - http://www.scopus.com/inward/record.url?scp=0024080136&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024080136&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0024080136

VL - 8

SP - 1

EP - 8

BT - Bulletin of Centre for Informatics (Waseda University)

ER -