Projected collocation for higher-order higher-index differential-algebraic equations

Journal of Computational and Applied Mathematics - Tập 43 - Trang 243-259 - 1992
Uri M. Ascher1
1Department of Computer Science, University of British Columbia, Vancouver, Canada

Tài liệu tham khảo

Ascher, 1986, Collocation for two-point boundary value problems revisited, SIAM J. Numer. Anal., 23, 596, 10.1137/0723038 Ascher, 1989, On numerical differential algebraic problems with application to semiconductor device simulation, SIAM J. Numer. Anal., 26, 517, 10.1137/0726031 Ascher, 1981, Collocation software for boundary value ODEs, ACM Trans. Math. Software, 7, 209, 10.1145/355945.355950 Ascher, 1988 Ascher, 1991, Projected implicit Runge-Kutta methods for differential-algebraic equations, SIAM J. Numer. Anal., 28, 1097, 10.1137/0728059 Ascher, 1991, Stability of computational methods for constrained dynamics systems Baumgarte, 1972, Stabilization of constraints and integrals of motion in dynamical systems, Comput. Methods Appl. Mech. Engrg., 1, 1, 10.1016/0045-7825(72)90018-7 Boudreau, 1987, A steady-state diagenetic model for dissolved carbonate species and pH in the porewaters of oxic and suboxic sediments, Geochim. Cosmochim. Acta, 51, 10.1016/0016-7037(87)90187-6 Boudreau, 1988, A provisional diagenetic model for pH in anoxic porewaters: Application to the FOAM site, J. Marine Res., 46, 429, 10.1357/002224088785113603 Brenan, 1989 de Boor, 1973, Collocation at Gaussian points, SIAM J. Numer. Anal., 10, 582, 10.1137/0710052 Führer, 1991, Numerical solution of differential-algebraic equations for constrained mechanical motion, Numer. Math., 59, 55, 10.1007/BF01385770 Gear, 1986, Maintaining solution invariants in the numerical solution of ODEs, SIAM J. Sci. Statist. Comput., 7, 734, 10.1137/0907050 Gear, 1988, Differential-algebraic equation index transformations, SIAM J. Sci. Statist. Comput., 9, 39, 10.1137/0909004 Gear, 1985, Automatic integration of Euler-Lagrange equations with constraints, J. Comput. Appl. Math., 12&13, 77, 10.1016/0377-0427(85)90008-1 Griepentrog, 1986, Differential-Algebraic Equations and their Numerical Treatment, 88 Hairer, 1989, The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, 1409 Logsdon, 1989, Accurate solution of differential-algebraic optimization problems, Indust. Engrg. Chem. Res., 28, 1628, 10.1021/ie00095a010 Lubich, 1990, On projected Runge-Kutta methods for differential-algebraic equations Wehage, 1982, Generalized coordinate partitioning for dimension reduction in analysis of constrained dynamic systems, J. Mech. Design, 104, 247, 10.1115/1.3256318