کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6423076 | 1341248 | 2011 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Two stage waveform relaxation method for the initial value problems of differential-algebraic equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
In this paper, we consider a two stage strategy for waveform relaxation (WR) iterations, applied to initial value problems for differential-algebraic equations (DAEs) in the form AyÌ(t)+By(t)=f(t). Outer iterations of TSWR are defined by MAyÌ(k+1)(t)+M1y(k+1)(t)=N1y(k)(t)+NAyÌ(k)(t)+f(t), where A=MAâNA, B=M1âN1, and each iteration y(k+1)(t) is computed using an inner iterative process, based on another splitting M1=M2âN2. Meanwhile, by the means of the Theta method, the discretized TSWR of DAEs is realized. Furthermore, when MA is an Hermitian positive semi-definite matrix with P-regular splittings, the convergence and the comparison theorems of TSWR are analyzed. Finally, the numerical experiments are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 6, 15 October 2011, Pages 1123-1136
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 6, 15 October 2011, Pages 1123-1136
نویسندگان
Wendi Bao, Yongzhong Song,