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- W204201310 abstract "We report on extensions of Gauss methods and the Hilber-Hughes-Taylor (HHT) method for differential-algebraic equations (DAEs) arising in mechanics. Gauss methods have not been considered as having much practical interest for the numerical solution of DAEs. This has been mainly due to poor convergence properties of these methods when applied in a standard direct way. Stiffly accurate methods have generally better convergence properties to solve DAEs [1, 3, 5]. However, in the context of geometric numerical integration of ODEs, e.g., for Hamiltonian or Lagrangian systems, Gauss methods have excellent theoretical properties [2]. It was an open problem and a question of interest to know if there was any way of generalizing and developing methods based on Gauss coefficients that would lead to methods of high order and quality for DAEs while preserving geometric properties of DAEs. It was shown recently that such generalizations are indeed possible for DAEs of index 2 [6, 10] and index 3 [7, 8]. Let us consider DAEs of the form" @default.
- W204201310 created "2016-06-24" @default.
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- W204201310 date "2006-01-01" @default.
- W204201310 modified "2023-09-26" @default.
- W204201310 title "Using additivity in numerical integration of DAEs" @default.
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