The fourth order accuracy decomposition scheme for an evolution problem
The fourth order accuracy decomposition scheme for an evolution problem
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DOI：
10.1051/m2an:2004031
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发表时间：
2004-07
期刊：
影响因子：
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通讯作者：
Z. Gegechkori;J. Rogava;M. Tsiklauri
中科院分区：
文献类型：
--
作者：
Z. Gegechkori;J. Rogava;M. Tsiklauri
本文给出了分裂形式下含算子的Cauchy抽象问题的四阶精度的对称化序列并行分解方法。通过引入一个具有正的真实的部分的复系数，达到了四阶精度。对于所考虑的方案，得到了显式的先验估计。
In the present work, the symmetrized sequential-parallel decomposition method with the fourth order accuracy for the solution of Cauchy abstract problem with an operator under a split form is presented. The fourth order accuracy is reached by introducing a complex coefficient with the positive real part. For the considered scheme, the explicit ap rioriestimate is obtained.