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

小行星9301044 这个为期两年的奖项支持美国和意大利之间的波形松弛方法Zdzislaw Jackiewicz，亚利桑那州州立大学和阿尔弗雷多贝伦，里雅斯特大学，意大利的合作研究。 他们的研究目标是研究常微分方程的时间点松弛和波形松弛Runge-Kutta方法的收敛性、阶数、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态系统的时域分析。 Jackiewicz和Bellen是波形松弛方法的专家，旨在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模拟各种重要的物理，生物和地质现象以及许多工业应用中自然出现。 这种合作使意大利在微分方程并行方法方面的专业知识得到了Jackiewicz在微分方程一般线性方法方面的经验的补充。 这将导致更好地了解在并行计算环境中的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. * * *