Computational Schemes for Initial-Boundary Value Problems

初边值问题的计算格式。许多物理现象都可以用偏微分方程描述的初边值问题来模拟。这类模型的模拟需要高效和健壮的计算算法。本项目的主要目的是提出二维空间问题和三维时空模型的数值算法。该项目的一个主要焦点是研究那些需要大约一半的计算资源的方法，而不是著名的解决边值问题的方案。

Computational Schemes for Initial-Boundary Value Problems. Many physical phenomena can be modelled as initial-boundary value problems described by partial differential equations. Simulations of such models require efficient and robust computational algorithms. The main aim of this project is to propose numerical algorithms for two dimensional spatial problems and three dimensional time-space models. A major focus of the project is to investigate methods that require about half the computational resources over celebrated schemes for solving boundary value problems.