EXTRAPOLATED IMPLICIT–EXPLICIT RUNGE–KUTTA METHODS

EXTRAPOLATED IMPLICIT–EXPLICIT RUNGE–KUTTA METHODS
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DOI:
10.3846/13926292.2014.892903
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发表时间:
2014-03
影响因子:
1.8
通讯作者:
A. Cardone;Z. Jackiewicz;Adrian Sandu;Hong Zhang
A. Cardone;Z. Jackiewicz;Adrian Sandu;Hong Zhang
中科院分区:
数学4区
文献类型:
--
作者:
A. Cardone;Z. Jackiewicz;Adrian Sandu;Hong Zhang

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摘要研究了一类新的具有非刚性和刚性分量的常微分方程的隐式-显式单对角隐式龙格-库塔方法。该方法基于当前步骤的阶段值通过前一步的阶段值进行外推。这种方法首先由作者在隐式-显式一般线性方法的背景下提出。
AbstractWe investigate a new class of implicit–explicit singly diagonally implicit Runge–Kutta methods for ordinary differential equations with both non-stiff and stiff components. The approach is based on extrapolation of the stage values at the current step by stage values in the previous step. This approach was first proposed by the authors in context of implicit–explicit general linear methods.