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

9422380 Lumsdaine分布式存储器计算机已经问世大约十年了。 尽管如此，困难的问题仍然是关于隐式数值方法的可扩展性，以及新的，替代的数值方法，以衡量进一步的，大规模的投资在并行化的关键应用程序的价值。此外，算法，即使被开发为适合于某些应用程序的可扩展性，也必须以具有成本效益的软件表示，以使大规模并行系统总体上经济。 因此，我们试图回答有关隐式数值积分方法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.