메뉴 건너뛰기




Volumn 9, Issue 5, 1998, Pages 987-1000

Artificial neural networks for solving ordinary and partial differential equations

Author keywords

Collocation method; Finite elements; Neural networks; Neuroprocessors; Ordinary differential equations; Partial differential equations

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD; INITIAL VALUE PROBLEMS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0032165970     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/72.712178     Document Type: Article
Times cited : (2255)

References (13)
  • 2
    • 0043004865 scopus 로고
    • Neural algorithms for solving differential equations
    • H. Lee and I. Kang, "Neural algorithms for solving differential equations," J. Comput. Phys., vol. 91, pp. 110-117, 1990.
    • (1990) J. Comput. Phys. , vol.91 , pp. 110-117
    • Lee, H.1    Kang, I.2
  • 3
    • 38149146627 scopus 로고
    • The numerical solution of linear ordinary differential equations by feedforward neural networks
    • A. J. Meade, Jr., and A. A. Fernandez, "The numerical solution of linear ordinary differential equations by feedforward neural networks," Math. Comput. Modeling, vol. 19, no. 12, pp. 1-25, 1994.
    • (1994) Math. Comput. Modeling , vol.19 , Issue.12 , pp. 1-25
    • Meade Jr., A.J.1    Fernandez, A.A.2
  • 4
    • 0002967446 scopus 로고
    • Solution of nonlinear ordinary differential equations by feedforward neural networks
    • _, "Solution of nonlinear ordinary differential equations by feedforward neural networks," Math. Comput. Modeling, vol. 20, no. 9, pp. 19-44, 1994.
    • (1994) Math. Comput. Modeling , vol.20 , Issue.9 , pp. 19-44
  • 5
    • 0025541489 scopus 로고
    • Structured trainable networks for matrix algebra
    • L. Wang and J. M. Mendel, "Structured trainable networks for matrix algebra," IEEE Int. Joint Conf. Neural Networks, vol. 2, pp. 125-128, 1990.
    • (1990) IEEE Int. Joint Conf. Neural Networks , vol.2 , pp. 125-128
    • Wang, L.1    Mendel, J.M.2
  • 6
    • 0005669277 scopus 로고    scopus 로고
    • VLSI implementation of locally connected neural network for solving partial differential equations
    • R. Yentis and M. E. Zaghoul, "VLSI implementation of locally connected neural network for solving partial differential equations," IEEE Trans. Circuits Syst. I, vol. 43, no. 8, pp. 687-690, 1996.
    • (1996) IEEE Trans. Circuits Syst. I , vol.43 , Issue.8 , pp. 687-690
    • Yentis, R.1    Zaghoul, M.E.2
  • 8
    • 0032045459 scopus 로고    scopus 로고
    • The Merlin control language for strategic optimization
    • _, "The Merlin control language for strategic optimization," Comput. Phys. Commun., vol. 109, pp. 250-275, 1998.
    • (1998) Comput. Phys. Commun. , vol.109 , pp. 250-275
  • 12
    • 0027684044 scopus 로고
    • Parallel finite element computation of 3-D flows
    • T. Tezduyar, S. Aliabadi, M. Behr, A. Johnson, and S. Mittal, "Parallel finite element computation of 3-D flows," IEEE Comput., vol. 26, no. 10, pp. 27-36, 1993.
    • (1993) IEEE Comput. , vol.26 , Issue.10 , pp. 27-36
    • Tezduyar, T.1    Aliabadi, S.2    Behr, M.3    Johnson, A.4    Mittal, S.5
  • 13
    • 0031207136 scopus 로고    scopus 로고
    • Artificial neural network methods in quantum mechanics
    • I. E. Lagaris, A. Likas, and D. I. Fotiadis, "Artificial neural network methods in quantum mechanics," Comput. Phys. Commun., vol. 104, pp. 1-14, 1997.
    • (1997) Comput. Phys. Commun. , vol.104 , pp. 1-14
    • Lagaris, I.E.1    Likas, A.2    Fotiadis, D.I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.