کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638959 1632029 2014 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Projector based integration of DAEs with the Taylor series method using automatic differentiation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Projector based integration of DAEs with the Taylor series method using automatic differentiation
چکیده انگلیسی

Automatic (or Algorithmic) Differentiation (AD) opens new possibilities to analyze and solve DAEs by projector based methods. In this paper, we present a new approach to compute consistent initial values and integrate DAEs up to index two, considering the nonlinear DAE in each time-step as a nonlinear system of equations for Taylor expansions. These systems will be solved by the Newton–Kantorowitsch method, whereas the resulting linear systems are decoupled using the splitting techniques related to the tractability index concept. This approach provides a description of the inherent ODE that allows an application of the classical Taylor series method to the integration of initial value problems. Linear and nonlinear DAEs with index up to two are examined and solved numerically.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 262, 15 May 2014, Pages 62–72
نویسندگان
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