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Pseudotransient continuation and differential-algebraic equations. (English) Zbl 1048.65080
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.

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
Software:
ADIC; Fastflo; FLOTRAN; PETSc
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