Collocation methods for differential-algebraic equations of index 3 | Zendy

Laurent O. Jay | Zendy

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Collocation methods for differential-algebraic equations of index 3

Author(s) -

Laurent O. Jay

Publication year - 1993

Publication title -

numerische mathematik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.214

H-Index - 90

eISSN - 0945-3245

pISSN - 0029-599X

DOI - 10.1007/bf01385759

Subject(s) - mathematics , collocation (remote sensing) , convergence (economics) , algebraic number , conjecture , differential algebraic equation , collocation method , index (typography) , differential (mechanical device) , algebraic equation , differential equation , numerical analysis , differential algebraic geometry , orthogonal collocation , algebra over a field , mathematical analysis , pure mathematics , ordinary differential equation , nonlinear system , computer science , physics , quantum mechanics , machine learning , aerospace engineering , world wide web , engineering , economics , economic growth

This article gives sharp convergence results for stiffly accurate collocation methods as applied to differential-algebraic equations (DAE's) of index 3 in Hessenberg form, proving partially a conjecture of Hairer, Lubich, and Roche

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