Geodesic
A semiexplicit method for numerical solution of functional differential algebraic equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2009), pp. 62-67

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We study systems with delay effect that contain additional algebraic relations. We propose semiexplicit numerical methods of the Rosenbrock type. We prove the solvability of equations of a numerical model and estimate the order of the global error. The chosen parameters provide the third order of the error.
Keywords: numerical methods, method of the Rosenbrock type, functional differential equations, interpolation-extrapolation operator. 
@article{IVM_2009_5_a6,
     author = {A. V. Lekomtsev and V. G. Pimenov},
     title = {A semiexplicit method for numerical solution of functional differential algebraic equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {62--67},
     publisher = {mathdoc},
     number = {5},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_5_a6/}
}
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A. V. Lekomtsev; V. G. Pimenov. A semiexplicit method for numerical solution of functional differential algebraic equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2009), pp. 62-67. http://geodesic.mathdoc.fr/item/IVM_2009_5_a6/