U.S.-Italy Cooperative Research: Waveform Relaxation Methods

这个为期两年的奖项支持美国和意大利在波形松弛方法方面的合作研究，合作对象是亚利桑那州立大学的Zdzislaw Jackiewicz和意大利的里雅斯特大学的Alfredo Bellen。他们的研究目的是研究常微分方程的时间点松弛和波形松弛龙格-库塔方法的收敛性、有序性、稳定性和收缩性。这种方法适用于并行计算环境，并已成功地用于大型动力系统的时域分析。Jackiewicz和Bellen是波形松弛方法的专家，其目的是为常微分方程系统开发有效的数值方法。该主题领域很重要，因为常微分方程系统在建模各种重要的物理、生物和地质现象以及许多工业应用中自然出现。这次合作使意大利在微分方程并行方法方面的专业知识与Jackiewicz在微分方程一般线性方法方面的经验相辅相成。这将有助于在并行计算环境下更好地理解常微分方程的数值解。* * *

9301044 Jackiewicz This two-year award supports US-Italy cooperative research in waveform relaxation methods between Zdzislaw Jackiewicz, Arizona State University, and Alfredo Bellen, University of Trieste, Italy. The objective of their research is to investigate convergence, order, stability, and contractivity properties of time-point relaxation and waveform relaxation Runge-Kutta methods for ordinary differential equations. Such methods are appropriate in a parallel computing environment and have been successfully used for time domain analysis of large dynamical systems. Jackiewicz and Bellen are specialists in waveform relaxation methods, which aim to develop effective numerical methods for systems of ordinary differential equations. The topic area is important because systems of ordinary differential equations arise naturally in modeling a variety of important physical, biological, and geological phenomena and in many industrial applications. This collaboration allows the Italian expertise in parallel methods for differential equations to be complemented by Jackiewicz's experience in general linear methods for differential equations. This should lead to a better understanding of numerical solution of ordinary differential equations in a parallel computing environment. * * *