کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4643482 | 1632059 | 2006 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A generalization of Peaceman–Rachford fractional step method
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A generalization of Peaceman–Rachford fractional step method A generalization of Peaceman–Rachford fractional step method](/preview/png/4643482.png)
چکیده انگلیسی
In this paper we develop a set of time integrators of type fractional step Runge–Kutta methods which generalize the time integrator involved in the classical Peaceman–Rachford scheme. Combining a time semidiscretization of this type with a standard spatial discretization, we obtain a totally discrete algorithm capable of discretizing efficiently a general parabolic problem if suitable splittings of the elliptic operator are considered. We prove that our proposal is second order consistent and stable even for an operator splitting in m terms which do not necessarily commute. Finally, we illustrate the theoretical results with various applications such as alternating directions or evolutionary domain decomposition.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 189, Issues 1–2, 1 May 2006, Pages 676–688
Journal: Journal of Computational and Applied Mathematics - Volume 189, Issues 1–2, 1 May 2006, Pages 676–688
نویسندگان
L. Portero, J.C. Jorge,