In order to solve discretized stationary linear or non linear diffusion and convection–diffusion problems, the present paper deals with a comparison between the performances of parallel iterative synchronous or asynchronous algorithms implemented on a Cloud computing architecture with several sizes of the algebraic systems to be solved. The parallel algorithms are briefly and intuitively presented and analysis of their behavior is recalled. In particular, criteria of convergence are recalled and estimates of convergence speed are given. Implementation on cloud architectures are briefly described. Finally, for each kind of problem, the performance of the target algorithms on cloud architectures are analyzed.

为了解决离散平稳线性或非线性扩散和对流扩散问题，本文对在云计算架构上实现的并行迭代同步或异步算法与要解决的多种规模的代数系统的性能进行了比较。简要直观地介绍了并行算法，并回顾了对其行为的分析。特别是，回顾了收敛标准并给出了收敛速度的估计。简要描述了云架构上的实现。最后，针对每种问题，分析目标算法在云架构上的性能。