کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638975 1632029 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Local and global error estimation and control within explicit two-step peer triples
ترجمه فارسی عنوان
برآورد و کنترل خطای محلی و جهانی در سه گانه صریح دو مرحلهای همکار
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

This paper elaborates a global error estimation and control mechanism in explicit two-step peer methods. These recently designed methods exhibit their high efficiency even in comparison to the best explicit Runge–Kutta pairs. More precisely, we form here triples of the so-called superconvergent explicit peer schemes and show that they are cheap and able to achieve preassigned accuracy conditions in automatic mode. For comparison, we present also numerical data derived by built-in explicit Matlab ODE solvers implemented with only local error control. Especially, we point out that a scaled global error is computed and regulated in this paper in contrast to the earlier published results where the absolute values of the global error have been utilized.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 262, 15 May 2014, Pages 261–270
نویسندگان
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