COLLABORATIVE RESEARCH: A comprehensive Study of Scalable Parallelism for Computational Science and Engineering

[422380]分布式内存计算机已经出现大约十年了。然而，关于隐式数值方法的可扩展性和新的可选数值方法的难题仍然存在，以便衡量在关键应用程序并行化方面进一步大规模投资的价值。此外，即使算法被开发为适合某些应用程序的可扩展算法，也必须在软件中以经济有效的方式表示，以便使大规模并行系统总体上经济。因此，我们试图回答与隐式数值积分方法相关的算法和软件技术的基本问题，更一般地说，关于迭代方法的并发性和收敛性之间的权衡。

9422380 Lumsdaine Distributed-memory computers have been available for about a decade. Still, hard questions remain concerning the scalability of implicit numerical methods, and new, alternative numerical methods, in order to gauge the value of further, large-scale investment in parallelization of key applications. Furthermore, algorithms, even if developed to be suitably scalable for certain applications, must be represented in software cost-effectively in order to make the massively parallel systems economical overall. Therefore, we seek to answer fundamental questions about algorithms and software technology related to implicit numerical integration methods, and more generally, about trade-offs between concurrency and convergence of iterative methods.