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• W2028883973 abstract "In the numerical solution of ordinary differential systems, the method of fractional steps (also known as operator splitting) yields high-order accurate schemes based on separate, computationally convenient treatments of distinct physical effects. Such schemes are equally desirable but much less accurate for semi-explicit index-1 differential-algebraic equations (DAEs). In the first half of this note, it is shown that naı¨ve application to DAEs of standard splitting schemes suffers from order reduction: both first and second-order schemes are only first-order accurate for DAEs. In the second half of this note, a new family of higher-order splitting schemes for semi-explicit index-1 DAEs is developed. The new schemes are based on a deferred correction paradigm in which an error equation is solved numerically, and therefore inherit a simple computationally convenient structure. Higher-order convergence of the new schemes is proved, and numerical results confirm the expected order of accuracy in addition to establishing efficiency." @default.
• W2028883973 created "2016-06-24" @default.
• W2028883973 creator A5071755235 @default.
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• W2028883973 date "2005-02-01" @default.
• W2028883973 modified "2023-10-18" @default.
• W2028883973 title "Fractional step methods for index-1 differential-algebraic equations" @default.
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• W2028883973 doi "https://doi.org/10.1016/j.jcp.2004.08.015" @default.
• W2028883973 hasPublicationYear "2005" @default.
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