کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642180 1341334 2008 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Accuracy analysis of acceleration schemes for stiff multiscale problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Accuracy analysis of acceleration schemes for stiff multiscale problems
چکیده انگلیسی

In the context of multiscale computations, techniques have recently been developed that enable microscopic simulators to perform macroscopic level tasks (equation-free multiscale computations). The main tool is the so-called coarse-grained time-stepper, which implements an approximation of the unavailable macroscopic time-stepper using only the microscopic simulator. Several schemes were developed to accelerate the coarse-grained time-stepper, exploiting the smoothness in time of the macroscopic dynamics. To date, mainly the stability of these methods was analyzed. In this paper, we focus on their accuracy properties, mainly in the context of parabolic problems. We study the global error of the different methods, compare with explicit stiff ODE solvers, and use the theoretical results to develop more accurate variants. Our theoretical results are confirmed by various numerical experiments.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 211, Issue 2, 1 February 2008, Pages 181–200
نویسندگان
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