有限差分方案收敛于Monge-Ampere方程的Aleksandrov解
Convergence of finite difference schemes to the Aleksandrov solution of the Monge-Ampere equation
University of Illinois at Chicago（伊利诺伊大学芝加哥分校）；Georgia Institute of Technology（佐治亚理工学院）
AI总结：
本文提出证明有限差分方案收敛于Monge-Ampere方程Aleksandrov解的技术，引入离散凸性概念并研究其稳定性与局部等连续性性质。
摘要：
我们提出一种技术，用于证明稳定且一致的有限差分方案收敛于Monge-Ampere方程的Aleksandrov解。我们还要求一个具有稳定性性质和局部等连续性性质的离散凸性概念。
英文摘要：
We present a technique for proving convergence to the Aleksandrov solution of the Monge-Ampere 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
