The approximate regularization of index-2 differential-algebraic problems |
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Institution: | School of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK |
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Abstract: | The approximate regularization method is introduced for the solution of index-2 Hessenberg systems of differential-algebraic equations. This approach is based on using a Taylor-series-type method, which results in a singular perturbation ordinary differential systems. For linear problems, it is shown that this approach is stable. To compare with a partial regularization, the approximate regularization appears to be promising. |
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