U.S.-France (INRIA) Cooperative Research: Approximation Theory and Systems

这个为期两年的奖项支持美国和法国在线性系统识别和控制中使用近似理论和函数理论的合作研究。研究人员包括南佛罗里达大学的Edward Saff和Vilmos Totik，以及位于索菲亚-安提波利斯的法国国家信息学和数学研究所的Laurent Baratchart。研究人员将合作研究一种新提出的解决某些卷积逆问题的方法，即二维混合系统的奇点检测。美国研究人员在利用潜在的理论方法应用问题方面为这次合作带来了专业知识。这是由法国在应用于理论问题的数值方法方面的专门知识补充的。所研究的问题在故障检测和安全分析、地雷探测、超声成像和层析成像等方面具有广泛的潜在应用。

9732631SaffThis two-year award supports US-France cooperative research on the use of approximation theory and function theory for linear system identification and control. It involves Edward Saff and Vilmos Totik at the University of South Florida and Laurent Baratchart at INRIA (French National Institute for Research in Informatics and Mathematics) in Sophia-Antipolis. The researchers will collaborate on a newly proposed method for solving certain inverse problems for convolutions, namely singularity detection for two dimensional hybrid systems. The US researchers bring to this collaboration expertise in utilizing potential theoretical methods in application of problems. This is complemented by French expertise in numerical approaches applied to theoretical problems. The problems under investigation have a wide range of potential applications to fault detection and safety analysis, mine detection, echography and tomography.