U.S.-China Workshop on Inertial Manifolds Approximating Inertial Manifolds and Related Numerical Algorithms, Xian, China, June 1995

9423693沈阳该奖项支持美国-中国与西安交通大学应用数学研究中心在中国联合举办的关于惯性流形、近似惯性流形和相关数值算法的研讨会，于1995年6月6日至9日在西安交通大学举行。近年来，惯性流形的概念已经成为研究动力系统长期行为的重要工具。在研究惯性流形的同时，对近似惯性流形和相关的数值算法也进行了广泛的研究。这些多分辨率算法考虑了底层流动的小尺度分量和大尺度分量之间的相互作用规律，特别适合于耗散发展方程的长期积分。这次研讨会的目的是将具有不同背景的活跃的研究人员聚集在一起，讨论这一领域最近和未来的进展。为来自美国的10名与会者的旅费和讲习班会议的部分出版费用提供了资金。

9423693 Shen This award supports a joint U.S.-China workshop, with the Research Center for Applied Mathematics of Xi'an Jiaotong University in China, on Inertial Manifolds, Approximate Inertial Manifolds and Related Numerical Algorithms at Xi'an Jiaotong University during the period of June 6-9, 1995. In recent years, the concept of Inertial Manifold has emerged as an important tool for the study of the long-term behavior of dynamical systems. In parallel to the study of Inertial Manifolds, extensive research has also been conducted on Approximate Inertial Manifolds and related numerical algorithms. These multi-resolution algorithms, taking into account the interaction law between small-scale and large-scale components of the underlying flow, are especially attractive for long-term integrations of dissipative evolution equations. The aim of this workshop is to bring together active researchers with different backgrounds to discuss recent and prospective advances in this area. Funds are granted for travel expenses of ten participants from the United States and for partial support of the publication cost for the workshop proceedings.