Abstract
This paper investigates retarded differential–algebraic equations of index zero to two with state-dependent delay. The theory needed to understand the numerical approach and analyze the numerical treatment by collocation methods is developed. Different strategies for tracking the jump discontinuities are considered and numerical examples are presented to support the convergence results.
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Hauber, R. Numerical treatment of retarded differential–algebraic equations by collocation methods. Advances in Computational Mathematics 7, 573–592 (1997). https://doi.org/10.1023/A:1018919508111
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DOI: https://doi.org/10.1023/A:1018919508111