ALGORITHMS: Distributed Multivariate Integration in a Problem Solving Environment

这项提议旨在将PARINT软件包扩展为并行集成，使其具有问题解决环境的特征。该项目的主要目标是提供一套完整的工具来编写问题说明、编译和运行应用程序，同时向最终用户提供最先进的问题解决能力。为此，我们建议添加新的技术来扩展PARINT问题域，例如，允许各种集成区域、高维和单一的集成行为。其中包括变换界面、新的分布式准蒙特卡罗策略和扩展方法。具体贡献在于数值技术的发展和并行积分算法的评估。讨论了并行和分布式计算中的重要问题，如负载平衡，重点讨论了松散耦合和异质系统。其他贡献是在用户界面、可视化和网络计算领域。

This proposal seeks to extend the PARINT software package for parallel integration, furnishing it with the characteristics of a Problem Solving Environment. The main goals of the project are to offer a complete set of tools for composing problem secifications, compiling and running applications, while providing state-of-the-art problem solving power to the end user. To this end, we propose adding new techniques for extending the PARINT problem domain, e.g., to allow for a variety of integration regions, high dimensions, and singular integrated behavior. These include a transformation interface, new distributed Quasi-Monte Carlo strategies and extapolation methods. Specific contributions are in the development of numerical techniques and evaluation of parallel integration algorithms. Important issues in parallel and distributed computations such as load balancing are addressed, with an emphasis on loosely coupled and heterogeneous systems. Other contributions are in the areas of user interfaces, visualization and web computing.