Geodesic
Extensions of the HHT-$\alpha $ method to differential-algebraic equations in mechanics
Electronic transactions on numerical analysis, Tome 26 (2007), pp. 190-208.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $$###$$ 
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     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},
     publisher = {mathdoc},
     volume = {26},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__26__a15/}
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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/