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Recent developments in the numerical solution of differential/algebraic systems. (English) Zbl 0692.65037

Computational aspects of VLSI design with an emphasis on semiconductor device simulation, Proc. SIAM/AMS Summer Semin., Minnesota/MN (USA) 1987, Lect. Appl. Math. 25, 177-190 (1990).
[For the entire collection see Zbl 0685.00023.]
The paper surveys some recent developments in the numerical solution of nonlinear differential-algebraic systems \(F(t,y,y')=0\) where y is given initially and \(\partial F/\partial y'\) may be singular, looks at their classification by degree of singularity, gives convergence results for backward differentiation formulas, discusses the use of implicit Runge- Kutta methods and explores at methods for obtaining consistent initial conditions.
Reviewer: J.D.P.Donnelly

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems

Citations:

Zbl 0685.00023

Software:

DASSL