Title | A Differentiation Index for Partial Differential-Algebraic Equations |

Publication Type | Journal Article |

Year of Publication | 2000 |

Authors | Martinson WS, Barton PI |

Journal | SIAM Journal on Scientific Computing |

Volume | 21 |

Pagination | 2295-2315 |

Keywords | Cauchy data, consistent initialization, differentiation index, index, Navierâ€“Stokes equations, partial differential equations |

Abstract | A differentiation index for nonlinear partial differential-algebraic equations is presented. Determination of the differentiation index with respect to a direction in the space of independent variables uncovers all equations that must be satisfied by {Cauchy} data on the hyperplane orthogonal to that direction. This index is thus a generalization of the differentiation index of differential-algebraic equations. The motivation for this work is consistent initialization of partial differential-algebraic systems. The analysis is demonstrated through several examples, including some taken from fluid dynamics and chemical engineering. |

URL | http://link.aip.org/link/?SCE/21/2295/1 |

DOI | 10.1137/S1064827598332229 |

# A Differentiation Index for Partial Differential-Algebraic Equations

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