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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.

法国和英国的学术界在应用数学方面，特别是在波动力学的现象学和理论方面，都有着悠久而成功的研究历史。然而，在过去的大约40年里，两国的利益出现了一些分歧，法国科学家倾向于这一领域更纯粹的一端，而英国应用数学家则开发了各种新的应用领域。因此，两个小组之间的工作关系并不像应该的那样牢固。近年来，法国科学家意识到，他们需要与数学领域以外的工程师和科学家进行更多的互动，他们做出了艰苦的努力，通过与英国同行更紧密的联系来弥合这一差距。我们英国人从这种互动中获益良多。促进法英两国更紧密联系的一个发展是于2004年6月在巴黎高等技术学院(ENSTA)成功地组织了一次为期两天的会议，题为“法英关于衍射理论中的数学技术的会议”。这次会议后的关键建议之一是在第一次会议两年后在英国举行后续会议。我们现在提议于2006年6月在曼彻斯特举行这次会议。会议的重点将是“波动问题的数学技术”，并将寻求讨论各种活动，从泛函分析到微扰方法和变换技术，到混合和高级数值方法，特别强调应用领域。讲座将分为三个主要主题领域：多次散射和均匀，管道和波导中的问题，以及波传播的方法。会议的目的将是将法国和英国的工人聚集在一起，以交流想法并鼓励合作。从2004年第一次会议开始，开展了一些互动活动，第二次研讨会将加强这种合作并鼓励进一步的联系。特别是，将留出时间讨论为研究生和年轻研究人员建立正式联系的问题。