CBMS Regional Conference in the Mathematical Sciences-"Radial Basis Functions: Mathematical Developments and Applications"

2011年6月20 - 24日，马萨诸塞大学达特茅斯分校求解偏微分方程的RBF方法引起了研究人员的热情，并使RBF方法成为一个新兴的话题。RBF方法因其网格容忍度、实现简单性和尺寸无关性而受到欢迎。在过去的十年中，在数学、物理和工程期刊上出现了大量关于RBF方法的出版物，可见RBF方法的影响。这是一个通过跨学科的重要合作以及开放和自由的思想交流和MATLAB研究代码而发展起来的领域。RBF方法也已成功应用于大规模地球物理计算，显示了其在物理问题模拟中的巨大潜力。尽管RBF方法越来越受欢迎，但很少有专门讨论RBF方法的会议。我们建议主办题为“径向基函数：数学发展与应用”的区域会议。我们的RBF会议的使命是教育和激励研究人员（各级）和学生的RBF方法，并刺激和启发这一领域的研究。会议将由该领域的两位主要研究人员——科罗拉多大学博尔德分校应用数学系的Bengt Fornberg和美国国家大气研究中心（NCAR）地球科学数学应用研究所的Natasha Flyer发表10场演讲。此外，四十分钟的补充演讲将由该领域的新兴领导者出席，他们将集中讨论从RBF方法的数值分析到其在大规模物理问题中的应用等主题。此外，将编写一份以十次演讲为基础的说明性专著，供非与会者使用，并将设立一个专门介绍会议的网站，供未能出席会议的人使用。讲座旨在吸引专家和新手，并激发演讲者和与会者之间就RBF的最新进展和开放问题进行讨论和合作。本次会议将为交流近年来RBF方法的最新研究和发展提供一个环境，并将吸引更广泛、更多样化的研究人员参与RBF方法的研究，并建立一个支持RBF研究人员的社区。

NSF/CBMS Regional Conference on Radial Basis Functions: Mathematical Developments and ApplicationsJune 20 - 24, 2011 University of Massachusetts Dartmouth RBF methods for the solution of partial differential equations have generated enthusiasm among researchers and made RBF methods an emerging topic. RBF methods have become popular for their mesh-tolerance, simplicity of implementation, and dimension-independence. The impact of RBF methods is evident by the large number of publications on RBF methods, which have appeared in the past decade in mathematics, physics, and engineering journals. It is a field, which has grown through significant collaborations across disciplines, and the open and free exchange of ideas and MATLAB research codes. RBF methods have also been successfully applied to large-scale geophysical computations, which demonstrate their great potential in simulation of physical problems. Despite their growing popularity, there have been few, if any, conferences dedicated to RBF methods. We propose to host the regional conference entitled *Radial Basis Functions: Mathematical Developments and Applications *. The mission of our RBF conference is to educate and motivate researchers (at all levels) and students in RBF methods, and to stimulate and inspire research in this field. The conference will feature ten talks by two leading researchers in this field, Bengt Fornberg at the Applied Mathematics Department of the University of Colorado at Boulder and Natasha Flyer at the Institute for Mathematics Applied to Geosciences of National Center for Atmospheric Research (NCAR). In addition, supplementary forty-minute talks will be given by attendees who are emerging leaders in this field, who will focus on topics ranging from the numerical analysis of RBF methods to their applications to large-scale physical problems. Additionally, an expository monograph based on ten lectures will be prepared and made available for non-participants, and a web site devoted to the conference will make it accessible to those who could not attend. The talks will be designed to appeal to both experts and novices, and to stimulate discussion and collaboration between the speakers and attendees about recent advances and open problems in RBF. This conference will provide an environment to communicate the latest research and development of RBF methods in recent years, and will attract a wider and more diverse group of researchers to undertake research in RBF methods and build a supportive community of RBF researchers.