Geodesic
Numerical methods for solving initial and boundary value problems for functional differential equations
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 25 (2002) no. 2, pp. 75-78

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General approach to constructing numerical methods for functional-differential equations is considered. The general approach consists of distinguishing the finite dimensional and infinite dimensional phase components. As an example, Runge–Kutta-like methods are described. 
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     title = {Numerical methods for solving initial and boundary value problems for functional differential equations},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
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V. G. Pimenov. Numerical methods for solving initial and boundary value problems for functional differential equations. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 25 (2002) no. 2, pp. 75-78. http://geodesic.mathdoc.fr/item/IIMI_2002_25_2_a20/