×

zbMATH — the first resource for mathematics

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.

MSC:
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
PDF BibTeX XML Cite
Full Text: DOI