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- W2324884674 abstract "Th es ymbolic-numeric computin gd escribe dh er ec onsist so fa ne x- tensive symbolic pre-processing of systems of differential-algebrai ce quations (DAE), followe db yt he numerical integratio no ft he system obtained .T he applicatio na re ai sm ultibody dynamics .W ed ea ls ymbolically wit ha DA E system using differentiation an de liminatio nm ethods to find al lt he hidden constraints, an dp roduc ea system that is leadin gl inea r( linea ri ni ts leading derivatives) .T he nw eu se LU symbolic decomposition with Larg eE xpression Management to solve this leadin gl inea rs ystem fo ri ts leadin gd erivatives, thereb yo btaining an explicit OD Es ystem writte ni nt erms of computation sequences obtained from usin gt he Maple package LargeExpressions.Subse- quently th eM apl ec ommand dsolve is applie dt ot hi se xplicit OD Et oo btain it sn umeri cs olution. Advantages of this strategy in avoiding expression explo- sion ar ei llustrate da nd discussed. We briefly discus san ew class of methods involvin gN umerical Algebraic an dA nalyti cG eometry. Mathematic sS ubjec tC lassification (2000). Primary 70E55 ;S econdary 68U01; Tertiary 15A09. Keywords. LU symbolic decomposition ,l arge expressio nm anagement ,d if- ferentia le limination, DAE, computatio ns equence, straight lin ep rogramme, hidde nc onstraint ,c omputer algebra." @default.
- W2324884674 created "2016-06-24" @default.
- W2324884674 creator A5033132937 @default.
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- W2324884674 date "2007-01-01" @default.
- W2324884674 modified "2023-09-23" @default.
- W2324884674 title "Symbolic Computatio nS equences and Numerical Analytic Geometry Applie dt oM ultibod yD ynamical Systems" @default.
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- W2324884674 hasPublicationYear "2007" @default.
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