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• W2055804585 abstract "Abstract In this paper we survey some recent developments in the numerical solution of nonlinear differential/algebraic equation (DAE) systems of the form 0 = F ( t , y , y '), where ∂F ∂y' may be singular. Initial value problems in DAEs arise in a wide variety of applications, including circuit and control theory, chemical kinetics, modeling of constrained mechanical systems, fluid dynamics and robotics. DAE systems include standard form ODEs as a special case, but they also include problems which are in many ways quite different from ODEs. We explore some classes of initial value problems which can be solved by backward differentiation formulas, and discuss some results on the order of convergence of implicit Runge-Kutta methods applied to DAE systems. Finding a consistent set of initial conditions is often a problem for DAE systems arising in applications. We outline some recent work on a general algorithm for finding consistent initial conditions. Finally, we discuss some new developments in the numerical solution of DAE boundary value problems." @default.
• W2055804585 created "2016-06-24" @default.
• W2055804585 creator A5021640058 @default.
• W2055804585 date "1989-10-01" @default.
• W2055804585 modified "2023-09-26" @default.
• W2055804585 title "Recent developments in the numerical solution of differential/algebraic systems" @default.
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• W2055804585 doi "https://doi.org/10.1016/0045-7825(89)90016-9" @default.
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