The Second British-French Workshop on Mathematical Techniques for Wave Problems

第二届英法波浪问题数学技术研讨会

基本信息

批准号：
EP/E000266/1
负责人：
I Abrahams
金额：
$ 1.09万
依托单位：
University of Manchester
依托单位国家：
英国
项目类别：
Research Grant
财政年份：
2006
资助国家：
英国
起止时间：
2006 至无数据
项目状态：
已结题

来源：
https://gtr.ukri.org/projects?ref=EP%2FE000266%2F1
关键词：
Second British French Workshop Mathematical

项目摘要

Both the French and British academic communities have a long and successful history of research in applied mathematics and in particular, in phenomenological and theoretical aspects of wave mechanics. In the last forty or so years however the two countries' interests have diverged somewhat, with the French scientists tending to the more pure end of this field whilst the British applied mathematicians have developed a variety of new application areas. As a consequence, the working relationship between the two groups is not as strong as it should be. In recent years the French scientists, aware that they need to interact more with engineers and scientists outside the mathematics domain, have made strenuous efforts to bridge this gap via closer ties with their British counterparts. We in the UK have much to gain from this interaction.One development to stimulate closer French-British ties was the organization of a successful two day meeting held at the Ecole Nationale Superieure de Techniques Avancees (ENSTA), Paris, in June 2004, entitled 'French-British meeting on Mathematical Techniques in Diffraction Theory'. One of the key recommendations after this meeting was to hold a follow-on meeting in the UK two years after the first one. We now propose to hold this meeting in Manchester in June 2006. The focus of the meeting will be on 'mathematical techniques for wave problems', and will seek to discuss activity ranging from functional analysis, through perturbation methods and transform techniques, to hybrid and advanced numerical approaches, with special emphasis on application areas. Talks will be organized into three main subject areas: Multiple Scattering and Homogenization, Problems in Ducts and Waveguides, and Methods for Wave Propagation. The aim of the meeting will be to bring together French and British workers in order to exchange ideas and encourage collaboration. A number of interactions were initiated from the first meeting in 2004 and a second workshop will strengthen this collaboration and encourage further ties. In particular time will be set aside to discuss the establishment of formal links for postgraduate students and young researchers.

法国和英国的学术社区都有漫长而成功的应用数学研究历史，尤其是波浪力学的现象学和理论方面。在过去的四十年左右的时间里，两国的利益已经有所不同，法国科学家倾向于该领域的纯粹末端，而英国应用数学家则开发了各种新的应用领域。结果，两组之间的工作关系并不像应有的那样牢固。近年来，法国科学家意识到，他们需要与数学领域之外的工程师和科学家进行更多互动，他们竭尽全力通过与英国同行的紧密联系来弥合这一差距。我们在英国可以从这种互动中获得很多收益。一种发展是为了刺激法国 - 英国的联系，是在2004年6月在巴黎的Ecole Nationale Superieure de Techniques Avancees（ENSTA）举行的成功的为期两天的会议，该会议于2004年6月，题为“法国 - 英国在衍射理论中的数学技术”。这次会议之后的关键建议之一是在第一次会议两年后在英国举行一次后续会议。现在，我们建议于2006年6月在曼彻斯特举行这次会议。会议的重点将放在“波浪问题的数学技术”上，并将寻求讨论从功能分析到扰动方法和转换技术，到混合和高级数值方法，以及对应用领域的特殊强调。谈判将分为三个主要主题领域：多个散射和均匀化，管道和波导中的问题以及波传播的方法。会议的目的是将法国和英国工人汇集在一起，以交流思想并鼓励合作。从2004年的第一次会议开始，开始了许多互动，第二次研讨会将加强这种合作并鼓励进一步的联系。在特定的时间里，将搁置时间来讨论为研究生和年轻研究人员建立正式链接。