摘要
对流扩散方程是一类典型的偏微分方程,其并行求解方法对其他微积分方程的并行求解具有借鉴意义。对对流扩散方程的并行求解方法进行综述,分为显式直接并行、隐式迭代并行、交替分组显式并行和Monte Carlo并行四种并行求解方法,对其中涉及的计算原理进行描述,给出示例,并指出进一步研究方向。
The convection-diffusion equation is a typical partial differential equation. Its parallel solutions have reference significance for the parallel solutions to other equations. In this paper we conduct a survey on the parallel solutions to convection-diffusion equation. These parallel solutions are classified as four kinds of parallelism, explicit direct, implicit iterative, alternating group explicit and Monte Carlo. Computational principles and several examples are described. Finally, the prospects of future development in this field are presented.
出处
《计算机工程与科学》
CSCD
北大核心
2015年第4期628-633,共6页
Computer Engineering & Science
基金
国家自然科学基金资助项目(61202039
61303265)
中国博士后科学基金资助项目(2014M562570)