Geodesic
Extensions of the HHT-\(\alpha \) method to differential-algebraic equations in mechanics
Electronic transactions on numerical analysis, Tome 26 (2007), pp. 190-208
We present second order extensions of the Hilber-Hughes-Taylor- (HHT- ) method for systems of

$########$

overdetermined differential-algebraic equations (ODAEs) arising, for example, in mechanics. A detailed analysis of extensions of the HHT- method is given. In particular a local and global error analysis is presented. Second

$###$

order convergence is theoretically demonstrated and practically illustrated by numerical experiments. A new variable stepsize formula is proposed which preserves the second order of the method.
Classification : 65L05, 65L06, 65L80, 70F20, 70H45
Keywords: differential-algebraic equations, HHT- method, variable stepsize $$###$$ 
@article{ETNA_2007__26__a15,
     author = {Jay,  Laurent O. and Negrut,  Dan},
     title = {Extensions of the {HHT-\(\alpha} \) method to differential-algebraic equations in mechanics},
     journal = {Electronic transactions on numerical analysis},
     pages = {190--208},
     year = {2007},
     volume = {26},
     zbl = {1171.65417},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__26__a15/}
}
TY  - JOUR
AU  - Jay,  Laurent O.
AU  - Negrut,  Dan
TI  - Extensions of the HHT-\(\alpha \) method to differential-algebraic equations in mechanics
JO  - Electronic transactions on numerical analysis
PY  - 2007
SP  - 190
EP  - 208
VL  - 26
UR  - http://geodesic.mathdoc.fr/item/ETNA_2007__26__a15/
LA  - en
ID  - ETNA_2007__26__a15
ER  - 
%0 Journal Article
%A Jay,  Laurent O.
%A Negrut,  Dan
%T Extensions of the HHT-\(\alpha \) method to differential-algebraic equations in mechanics
%J Electronic transactions on numerical analysis
%D 2007
%P 190-208
%V 26
%U http://geodesic.mathdoc.fr/item/ETNA_2007__26__a15/
%G en
%F ETNA_2007__26__a15
Jay,  Laurent O.; Negrut,  Dan. Extensions of the HHT-\(\alpha \) method to differential-algebraic equations in mechanics. Electronic transactions on numerical analysis, Tome 26 (2007), pp. 190-208. http://geodesic.mathdoc.fr/item/ETNA_2007__26__a15/