کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4967091 1449363 2017 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High-order asynchrony-tolerant finite difference schemes for partial differential equations
ترجمه فارسی عنوان
معادلات دیفرانسیل با مشتقات جزئی با استفاده از روشهای محدود تضاد آسین کروم بالا
کلمات کلیدی
طرح های تحمل آسین کربن، معادلات دیفرانسیل جزئی، محاسبات عظیم، محاسبات ناسازگار،
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
Synchronizations of processing elements (PEs) in massively parallel simulations, which arise due to communication or load imbalances between PEs, significantly affect the scalability of scientific applications. We have recently proposed a method based on finite-difference schemes to solve partial differential equations in an asynchronous fashion - synchronization between PEs is relaxed at a mathematical level. While standard schemes can maintain their stability in the presence of asynchrony, their accuracy is drastically affected. In this work, we present a general methodology to derive asynchrony-tolerant (AT) finite difference schemes of arbitrary order of accuracy, which can maintain their accuracy when synchronizations are relaxed. We show that there are several choices available in selecting a stencil to derive these schemes and discuss their effect on numerical and computational performance. We provide a simple classification of schemes based on the stencil and derive schemes that are representative of different classes. Their numerical error is rigorously analyzed within a statistical framework to obtain the overall accuracy of the solution. Results from numerical experiments are used to validate the performance of the schemes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 350, 1 December 2017, Pages 550-572
نویسندگان
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