# Numerical solution of nonlinear differential equations with algebraic contraints II: practical implications

@article{Petzold1986NumericalSO, title={Numerical solution of nonlinear differential equations with algebraic contraints II: practical implications}, author={Linda R. Petzold and Per L{\"o}tstedt}, journal={Siam Journal on Scientific and Statistical Computing}, year={1986}, volume={7}, pages={720-733} }

In this paper we investigate the behavior of numerical ODE methods for the solution of systems of differential equations coupled with algebraic constraints. Systems of this form arise frequently in the modelling of problems from physics and engineering; we study some particular examples from fluid dynamics and constrained mechanical systems. We investigate some of the practical difficulties of implementing variable-stepsize backward differentiation formulas for the solution of these equations…

## 129 Citations

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