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Mathematics of Computation

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On the computation of impasse points of quasilinear differential-algebraic equations


Authors: Patrick J. Rabier and Werner C. Rheinboldt
Journal: Math. Comp. 62 (1994), 133-154
MSC: Primary 65L05; Secondary 34A09, 34A47, 58F14
DOI: https://doi.org/10.1090/S0025-5718-1994-1208224-6
MathSciNet review: 1208224
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Abstract: We present computational algorithms for the calculation of impasse points and higher-order singularities in quasi-linear differential-algebraic equations. Our method combines a reduction step, transforming the DAE into a singular ODE, with an augmentation procedure inspired by numerical bifurcation theory. Singularities are characterized by the vanishing of a scalar quantity that may be monitored along any trajectory. Two numerical examples with physical relevance are given.


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DOI: https://doi.org/10.1090/S0025-5718-1994-1208224-6
Article copyright: © Copyright 1994 American Mathematical Society

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