کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4645964 | 1342073 | 2009 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Parallel two-step ROW-methods for stiff delay differential equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Parallel two-step ROW-methods for stiff delay differential equations Parallel two-step ROW-methods for stiff delay differential equations](/preview/png/4645964.png)
چکیده انگلیسی
In this paper, parallel two-step ROW-methods (PTSROW methods) for the numerical solution to stiff delay differential equations are discussed. The stability behaviors of PTSROW methods are analyzed. It is shown that a PTSROW method is GP-stable or GPL-stable if and only if it is A-stable or L-stable respectively. Furthermore, the order (order of consistency and stage-order) conditions of PTSROW methods by using tree theory and B-series are presented. Some L-stable PTSROW methods and real-time PTSROW methods are constructed. The efficiency of these ROW-methods is shown by some numerical simulation experiments in parallel environment.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 59, Issue 8, August 2009, Pages 1768-1778
Journal: Applied Numerical Mathematics - Volume 59, Issue 8, August 2009, Pages 1768-1778