Multistep numerical methods for functional-differential-algebraic equations
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 2, pp. 145-155
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This paper deals with constructing multistep numerical methods for differential delay equations under additional algebraic constraints. Theorems on the orders of convergence of these methods are proved both for functional-differential equations with algebraic constraints and for singular functional-differential equations.
@article{TIMM_2007_13_2_a13,
author = {V. G. Pimenov},
title = {Multistep numerical methods for functional-differential-algebraic equations},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {145--155},
publisher = {mathdoc},
volume = {13},
number = {2},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a13/}
}
TY - JOUR AU - V. G. Pimenov TI - Multistep numerical methods for functional-differential-algebraic equations JO - Trudy Instituta matematiki i mehaniki PY - 2007 SP - 145 EP - 155 VL - 13 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a13/ LA - ru ID - TIMM_2007_13_2_a13 ER -
V. G. Pimenov. Multistep numerical methods for functional-differential-algebraic equations. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 2, pp. 145-155. http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a13/