Geodesic
Numerical solution to systems of delay integrodifferential algebraic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 430-444

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The numerical solution of the initial value problem for a system of delay integrodifferential algebraic equations is examined in the framework of the parametric continuation method. Necessary and sufficient conditions are obtained for transforming this problem to the best argument, which is the arc length along the integral curve of the problem. The efficiency of the transformation is demonstrated using test examples. 
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     author = {S. S. Dmitriev and E. B. Kuznetsov},
     title = {Numerical solution to systems of delay integrodifferential algebraic equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {430--444},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_3_a6/}
}
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S. S. Dmitriev; E. B. Kuznetsov. Numerical solution to systems of delay integrodifferential algebraic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 430-444. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_3_a6/