Solution of large nonlinear engineering systems through subsystems

Advances in Engineering Software

Volumn 28, Issue 4, 1997, Pages 247-258

  Savage, G J ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Engineering systems; Graph models; Newton Raphson; Nonlinear; Subsystems

Indexed keywords

COMPUTER PROGRAMMING LANGUAGES; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; SYSTEMS ENGINEERING; VECTORS;

GRAPH MODELS; NEWTON-RAPHSON METHOD; NONLINEAR ENGINEERING SYSTEMS; SUBSYSTEMS;

GRAPH THEORY;

EID: 0031169604     PISSN: 09659978     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0965-9978(97)00055-0     Document Type: Article

References (13)

1. Chandrashekar, M. & Kesavan, H. K. Graph-theoretic models for pipe network analysis. Journal of the Hydraulics Division, ASCE, 1972, 98, 345-64.
2. Vlach, J. & Singhal, K. Computer Methods for Circuit Analysis. Van Nostrand Reinhold, New York, 1994.
3. Kahaner, D., Moler C. & Nash, S. Numerical Methods and Software. Prentice Hall, Englewood Cliffs, NJ, 1989.
4. Ho, C-W., Ruehli, A. E. & Brennan, P. A. The modified nodal approach to network analysis. IEEE Trans. on Circuits and Systems, 1975, CAS-22(6), 504-9.
5. Dickinson, R. R. & Savage, G. J. A systems theoretic approach to second moment modelling of probabilistic engineering systems. Civil Engineering Systems, 1988, 5, 8-16.
6. Savage, G. J. Automatic formulation of higher-order sensitivity models. Civil Engineering Systems, 1993, 10, 335-50.
7. Carr, S. M. MAPLE routines for Matrix Calculus. Systems Design Engineering, University of Waterloo, Waterloo, Ontario, Canada, 1993.
8. Huebner, K. H. & Thorton, E. A. The Finite Element Method for Engineers. Wiley, New York 1982.
9. Roe, P. H. O'N. Networks and Systems. Addison-Wesley, Reading, MA, 1966.
10. Savage, G. J. & Kesavan, H. K. The graph theoretic field model - II. Application to multiterminal representations of field problems. Journal of the Franklin Institute, 1980, 309(4), 241-66.
11. Bookman, M. C. & Savage, G. J. Element properties by mathematical network methods. Engineering Analysis, 1987, 4(3), 135-141.
12. Pao, Y.-H. & Takefuji, Y. Functional-link net computing. Computer, 1992, 76-9.
13. Hornik, K., Stinchcombe, M. & White, H. Multilayer feedforward networks are universal approximators. Neural Networks, 1989, 2(5), 359-66.