NEURAL NETWORK ERROR CORRECTION FOR SOLVING COUPLED ORDINARY DIFFERENTIAL EQUATIONS

R. O. Shelton; J. A. Darsey; B. G. Sumpter; D. W. Noid

doi:10.1109/IJCNN.1992.227302

NEURAL NETWORK ERROR CORRECTION FOR SOLVING COUPLED ORDINARY DIFFERENTIAL EQUATIONS

R. O. Shelton, J. A. Darsey, B. G. Sumpter, D. W. Noid

Center for Nanophase Matls Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Scopus citations

Abstract

A neural network is demonstrated to learn errors generated by a numerical algorithm for solving coupled nonlinear differential equations. Comparisons are made for training the neural network using backpropagation and a new method which is found to converge with fewer iterations.

Original language	English
Title of host publication	Proceedings - 1992 International Joint Conference on Neural Networks, IJCNN 1992
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	457-461
Number of pages	5
ISBN (Electronic)	0780305590
DOIs	https://doi.org/10.1109/IJCNN.1992.227302
State	Published - 1992
Event	1992 International Joint Conference on Neural Networks, IJCNN 1992 - Baltimore, United States Duration: Jun 7 1992 → Jun 11 1992

Publication series

Name	Proceedings of the International Joint Conference on Neural Networks
Volume	4

Conference

Conference	1992 International Joint Conference on Neural Networks, IJCNN 1992
Country/Territory	United States
City	Baltimore
Period	06/7/92 → 06/11/92

Funding

Research sponsored by the Division of Materials Sciences, Office of Basic Energy Sciences, U.S. Department of Energy, under contract DE-AC05-84OR21400 with Martin Marietta Energy Systems, Inc., and Software Technology Branch of NASA

Funders	Funder number
Division of Materials Sciences
Software Technology Branch of NASA
U.S. Department of Energy	DE-AC05-84OR21400
Basic Energy Sciences

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10.1109/IJCNN.1992.227302

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Shelton, R. O., Darsey, J. A., Sumpter, B. G., & Noid, D. W. (1992). NEURAL NETWORK ERROR CORRECTION FOR SOLVING COUPLED ORDINARY DIFFERENTIAL EQUATIONS. In Proceedings - 1992 International Joint Conference on Neural Networks, IJCNN 1992 (pp. 457-461). (Proceedings of the International Joint Conference on Neural Networks; Vol. 4). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IJCNN.1992.227302

Shelton, R. O. ; Darsey, J. A. ; Sumpter, B. G. et al. / NEURAL NETWORK ERROR CORRECTION FOR SOLVING COUPLED ORDINARY DIFFERENTIAL EQUATIONS. Proceedings - 1992 International Joint Conference on Neural Networks, IJCNN 1992. Institute of Electrical and Electronics Engineers Inc., 1992. pp. 457-461 (Proceedings of the International Joint Conference on Neural Networks).

@inproceedings{ee198742a72d4f7294e4c904e69f1e80,

title = "NEURAL NETWORK ERROR CORRECTION FOR SOLVING COUPLED ORDINARY DIFFERENTIAL EQUATIONS",

abstract = "A neural network is demonstrated to learn errors generated by a numerical algorithm for solving coupled nonlinear differential equations. Comparisons are made for training the neural network using backpropagation and a new method which is found to converge with fewer iterations.",

author = "Shelton, {R. O.} and Darsey, {J. A.} and Sumpter, {B. G.} and Noid, {D. W.}",

note = "Publisher Copyright: {\textcopyright} 1992 IEEE.; 1992 International Joint Conference on Neural Networks, IJCNN 1992 ; Conference date: 07-06-1992 Through 11-06-1992",

year = "1992",

doi = "10.1109/IJCNN.1992.227302",

language = "English",

series = "Proceedings of the International Joint Conference on Neural Networks",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "457--461",

booktitle = "Proceedings - 1992 International Joint Conference on Neural Networks, IJCNN 1992",

}

Shelton, RO, Darsey, JA, Sumpter, BG & Noid, DW 1992, NEURAL NETWORK ERROR CORRECTION FOR SOLVING COUPLED ORDINARY DIFFERENTIAL EQUATIONS. in Proceedings - 1992 International Joint Conference on Neural Networks, IJCNN 1992. Proceedings of the International Joint Conference on Neural Networks, vol. 4, Institute of Electrical and Electronics Engineers Inc., pp. 457-461, 1992 International Joint Conference on Neural Networks, IJCNN 1992, Baltimore, United States, 06/7/92. https://doi.org/10.1109/IJCNN.1992.227302

NEURAL NETWORK ERROR CORRECTION FOR SOLVING COUPLED ORDINARY DIFFERENTIAL EQUATIONS. / Shelton, R. O.; Darsey, J. A.; Sumpter, B. G. et al.
Proceedings - 1992 International Joint Conference on Neural Networks, IJCNN 1992. Institute of Electrical and Electronics Engineers Inc., 1992. p. 457-461 (Proceedings of the International Joint Conference on Neural Networks; Vol. 4).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - NEURAL NETWORK ERROR CORRECTION FOR SOLVING COUPLED ORDINARY DIFFERENTIAL EQUATIONS

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AU - Darsey, J. A.

AU - Sumpter, B. G.

AU - Noid, D. W.

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M3 - Conference contribution

AN - SCOPUS:85095823655

T3 - Proceedings of the International Joint Conference on Neural Networks

SP - 457

EP - 461

BT - Proceedings - 1992 International Joint Conference on Neural Networks, IJCNN 1992

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 1992 International Joint Conference on Neural Networks, IJCNN 1992

Y2 - 7 June 1992 through 11 June 1992

ER -

Shelton RO, Darsey JA, Sumpter BG, Noid DW. NEURAL NETWORK ERROR CORRECTION FOR SOLVING COUPLED ORDINARY DIFFERENTIAL EQUATIONS. In Proceedings - 1992 International Joint Conference on Neural Networks, IJCNN 1992. Institute of Electrical and Electronics Engineers Inc. 1992. p. 457-461. (Proceedings of the International Joint Conference on Neural Networks). doi: 10.1109/IJCNN.1992.227302

NEURAL NETWORK ERROR CORRECTION FOR SOLVING COUPLED ORDINARY DIFFERENTIAL EQUATIONS

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