Coffey, Todd S.; Kelley, C. T.; Keyes, David E. Pseudotransient continuation and differential-algebraic equations. (English) Zbl 1048.65080 SIAM J. Sci. Comput. 25, No. 2, 553-569 (2003). The authors present a globally convergent method for semi-explicit index-1 differential-algebraic equations (DAEs) given by an iteration procedure. Pseudotransient continuation is a practical technique for globalizing the computation of steady-state solutions of nonlinear differential equations and is applied here to DAEs. The procedure is illustrated with numerical experiments on model incompressible flow and reacting flow problems. Reviewer: Rudolf Scherer (Karlsruhe) Cited in 32 Documents MSC: 65L80 Numerical methods for differential-algebraic equations 65H10 Numerical computation of solutions to systems of equations 65H20 Global methods, including homotopy approaches to the numerical solution of nonlinear equations 34A09 Implicit ordinary differential equations, differential-algebraic equations Keywords:pseudotransient continuation; nonlinear equations; steady-state solutions; global convergence; differential algebraic equations; multirate systems; numerical experiments; incompressible flow; reacting flow Software:FLOTRAN; Fastflo; ADIC; PETSc PDFBibTeX XMLCite \textit{T. S. Coffey} et al., SIAM J. Sci. Comput. 25, No. 2, 553--569 (2003; Zbl 1048.65080) Full Text: DOI