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一些具有较少迭代次数和较好稳定性的新型 PDIRK方法(英文) 被引量:2

Some new PDIRK methods with fewer iterations and good stability
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摘要 为求解常微分方程刚性问题 ,本文构造了一些新型的并行对角隐式迭代 Runge-Kutta方法 .与已有的一些方法相比 ,这些方法具有更少的迭代次数和更好的稳定性 (强 A-稳定或 L-稳定 )且更适于并行计算 . In this paper some new parallel diagonal-implicitly iterated Runge-Kutta (PDIRK) methods for solving ordinary differential equations(ODEs) are constructed.This class of PDIRK method,which is easier to implement than fully implicit Runge-Kutta(RK) method and is suitable in a parallel environment,is strongly A-stable or L-stable for ODEs.
机构地区 兰州大学数学系
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第5期1-5,共5页 Journal of Lanzhou University(Natural Sciences)
关键词 并行对角隐式迭代Runge-Kutta方法 稳定性 并行性 常微分方程 刚性问题 parallel diagonal-implicitly iterated Runge-Kutta method stability parallelism
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