کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1139381 956666 2012 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A parareal algorithm based on waveform relaxation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
A parareal algorithm based on waveform relaxation
چکیده انگلیسی

We report a new parallel iterative algorithm for time-dependent differential equations by combining the known waveform relaxation (WR) technique with the classical parareal algorithm. The parallelism can be simultaneously exploited in both sub-systems by WR and time by parareal. We also provide a sharp estimation on errors for the new algorithm. The iterations of parareal and WR are balanced to optimize the performance of the algorithm. Furthermore, the parallel speedup and efficiency of the new approach are analyzed by comparing with the classical parareal algorithm and the WR technique, respectively. Numerical experiments are carried out to verify the effectiveness of the theoretic work.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 82, Issue 11, July 2012, Pages 2167–2181
نویسندگان
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