Electronic Resource
Springer
Advances in computational mathematics
7 (1997), S. 573-592
ISSN:
1572-9044
Keywords:
differential–algebraic equations
;
delay differential equations
;
state-dependent lag
;
collocation methods
;
65L05
;
65Q05
;
34K05
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018919508111
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