当前位置:
X-MOL 学术
›
Numer. Methods Partial Differ. Equ.
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Comparison of efficiency among different techniques to avoid order reduction with Strang splitting
Numerical Methods for Partial Differential Equations ( IF 3.9 ) Pub Date : 2020-09-30 , DOI: 10.1002/num.22556 Isaías Alonso‐Mallo 1 , Begoña Cano 1 , Nuria Reguera 2
Numerical Methods for Partial Differential Equations ( IF 3.9 ) Pub Date : 2020-09-30 , DOI: 10.1002/num.22556 Isaías Alonso‐Mallo 1 , Begoña Cano 1 , Nuria Reguera 2
Affiliation
In this article, we offer a comparison in terms of computational efficiency between two techniques to avoid order reduction when using Strang method to integrate nonlinear initial boundary value problems with time‐dependent boundary conditions. We see that it is important to consider an exponential method for the integration of the linear nonhomogeneous and stiff part in the technique by Einkemmer et al. so that the latter is comparable in efficiency with that suggested by Alonso et al. Some other advantages of the technique suggested by Alonso et al. are stated in the conclusions.
中文翻译:
不同技术之间效率的比较,以避免因Strang分裂而导致订单减少
在本文中,我们就两种技术的计算效率进行了比较,以避免在使用Strang方法将非线性初始边界值问题与时间相关的边界条件相集成时避免阶数减少。我们看到重要的是,在Einkemmer等人的技术中,考虑采用指数方法将线性非均质和刚性零件进行积分。因此后者的效率与Alonso等人建议的效率相当。Alonso等人建议的技术的其他一些优点。结论中有陈述。
更新日期:2020-11-23
中文翻译:
不同技术之间效率的比较,以避免因Strang分裂而导致订单减少
在本文中,我们就两种技术的计算效率进行了比较,以避免在使用Strang方法将非线性初始边界值问题与时间相关的边界条件相集成时避免阶数减少。我们看到重要的是,在Einkemmer等人的技术中,考虑采用指数方法将线性非均质和刚性零件进行积分。因此后者的效率与Alonso等人建议的效率相当。Alonso等人建议的技术的其他一些优点。结论中有陈述。