Convergence of Finite Difference Schemes to the Aleksandrov Solution of the Monge-Ampère Equation

Convergence of Finite Difference Schemes to the Aleksandrov Solution of the Monge-Ampère Equation
复制标题

有限差分格式对Monge-Ampère方程Aleksandrov解的收敛性

DOI：
--
复制
发表时间：
2015
期刊：
Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications
影响因子：
--
通讯作者：
Romeo Awi
Romeo Awi
中科院分区：
--
文献类型：
--
作者：
Gerard Awanou;Romeo Awi

文献摘要

被引文献

相似文献

我们提出了一种技术证明收敛到Aleksandrov解决方案的Monge-Ampère方程的稳定和一致的有限差分格式。我们还需要一个概念的离散凸性的稳定性和局部等度连续性的有界序列。
We present a technique for proving convergence to the Aleksandrov solution of the Monge-Ampère equation of a stable and consistent finite difference scheme. We also require a notion of discrete convexity with a stability property and a local equicontinuity property for bounded sequences.