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Numerical treatment of retarded differential-algebraic equations by collocation methods. (English) Zbl 0891.65080
The author presents an algorithm for tracking jump discontinuities occurring in the numerical solution by collocation methods of retarded differential-algebraic equations of up to index 2 with state dependent delay. The algorithm is shown to preserve the order of the underlying collocation method and some numerical examples are given to suppport this.

65L05 Numerical methods for initial value problems
34K05 General theory of functional-differential equations
34A34 Nonlinear ordinary differential equations and systems, general theory
34A09 Implicit ordinary differential equations, differential-algebraic equations
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