Efficient sensitivity analysis of large-scale differential-algebraic systems

作者: William F. Feehery , John E. Tolsma , Paul I. Barton

DOI: 10.1016/S0168-9274(97)00050-0

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摘要: Abstract A new algorithm and software for numerical sensitivity analysis of differential-algebraic equations are presented. The staggered corrector method proposed has lower computational complexity than both the direct simultaneous methods. results here especially significant for, though not limited to, large-scale sparse systems.

参考文章(18)
Paul Inigo Barton, The modelling and simulation of combined discrete/continuous processes Imperial College London (University of London). ,(1992)
M. Berz, Christian Bischof, George Corliss, Andreas Griewank, Computational differentiation : techniques, applications, and tools Society for Industrial and Applied Mathematics. ,(1996)
Makis Caracotsios, Warren E. Stewart, Sensitivity analysis of initial value problems with mixed odes and algebraic equations Computers & Chemical Engineering. ,vol. 9, pp. 359- 365 ,(1985) , 10.1016/0098-1354(85)85014-6
E. J. Haug, R. Wehage, N. C. Barman, Design Sensitivity Analysis of Planar Mechanism and Machine Dynamics Journal of Mechanical Design. ,vol. 103, pp. 560- 570 ,(1981) , 10.1115/1.3254955
Edward J. Haug, Paul E. Ehle, Second-order design sensitivity analysis of mechanical system dynamics International Journal for Numerical Methods in Engineering. ,vol. 18, pp. 1699- 1717 ,(1982) , 10.1002/NME.1620181109
Jorge R. Leis, Mark A. Kramer, The simultaneous solution and sensitivity analysis of systems described by ordinary differential equations ACM Transactions on Mathematical Software. ,vol. 14, pp. 45- 60 ,(1988) , 10.1145/42288.46156
Timothy Maly, Linda R. Petzold, Numerical methods and software for sensitivity analysis of differential-algebraic systems Applied Numerical Mathematics. ,vol. 20, pp. 57- 68 ,(1986) , 10.1016/0168-9274(95)00117-4
Iain S Duff, Albert M Erisman, John K Reid, Direct Methods for Sparse Matrices ,(1987)