Superconvergent explicit two-step peer methods
Superconvergent explicit two-step peer methods
复制标题
超收敛显式两步对等方法
DOI：
10.1016/j.cam.2008.02.014
复制
发表时间：
2009
影响因子：
2.4
通讯作者：
Stefan Jebens
中科院分区：
文献类型：
--
作者：
R. Weiner;B. A. Schmitt;H. Podhaisky;Stefan Jebens
研究了求解非刚性微分系统的显式两步法。通过附加条件，确定了一类超收敛p=s+1阶的最优零稳定方法，其中s为阶数。新的条件使我们能够在数值搜索中减少系数的数量，从而找到好的方法。我们提出了4-7个阶段的方法，在FORTRAN90中进行了测试，并与DOPRI5和DOP853进行了比较。结果证实了这类新方法的巨大潜力。
We consider explicit two-step peer methods for the solution of nonstiff differential systems. By an additional condition a subclass of optimally zero-stable methods is identified that is superconvergent of order p=s+1, where s is the number of stages. The new condition allows us to reduce the number of coefficients in a numerical search for good methods. We present methods with 4–7 stages which are tested in FORTRAN90 and compared with DOPRI5 and DOP853. The results confirm the high potential of the new class of methods.