NSF/CBMS Regional Conference in the Mathematical Sciences - Mathematical Methods in Nonlinear Wave Propagation - May 13-17, 2002

NSF/CBMS 数学科学区域会议 - 非线性波传播的数学方法 - 2002 年 5 月 13-17 日

• 批准号: 0122208
• 负责人: Dominic Clemence
• 金额: $ 2.75万
• 依托单位: North Carolina Agricultural & Technical State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-04-01 至 2003-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0122208&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Mathematical

The Mathematics Department at North Carolina A&T State University will host an NSF/CBMS Regional Research Conference, May 20-24, 2002, on "Mathematical Methods in nonlinear wave propagation". The proceedings of the five-day conference will be anchored by ten lectures delivered by Professor J. Kenneth Shaw on the following topics: Overview of fiber optics; Mathematical models; Pulse propagation in fibers; Mathematical modeling and simulation; Optical solitons; Phase modulation and solitons; Optimization Problems; Planar waveguides and Elliptical core fibers; Pulse design in fibers; Retrospective, review andresearch directions. In addition to these lectures, there shall be semi-structured discussionsessions led by other leading research mathematicians and engineers in nonlinear mathematicsand fiber optics. The chosen topic, motivated by the study of the propagation of pulses through nonlinear optical fibers, underlies a fertile and briskly active interdisciplinary area, rendering it particularly timely in applied mathematics research. By providing a focal point to an otherwise diverse set of specialized mathematical areas, the topic creates opportunities for collaboration amongst mathematicians of different specialties, while at the same time laying a foundation for interdisciplinary collaboration. This conference is in particular intended as an effort to introduce new researchers to this exciting field, with a focus on HBCU/MI faculty, whose activities are normally confined to teaching. While participation is mainly expected from within North Carolina and the Southeastern-Atlantic region, other participants are expected from the wider mathematical sciences community. An intended outcome of the conference is that it will act as an incubator for mathematical and interdisciplinary collaborative activities among established and new researchers, thus serving to stimulate research activity in applied mathematics at minority serving institutions.

北卡罗莱纳州立大学数学系将于2002年5月20日至24日主办NSF/CBMS区域研究会议，主题为“非线性波传播的数学方法”。为期五天的会议将由J. Kenneth Shaw教授就以下主题进行十场讲座：光纤概述；数学模型;脉冲在光纤中的传播；数学建模与仿真；光孤子;相位调制和孤子；优化问题;平面波导与椭圆芯光纤；光纤脉冲设计；回顾、回顾及研究方向。除了这些讲座之外，还将有由非线性数学和光纤领域的其他主要研究数学家和工程师领导的半结构化讨论。所选主题的动机是研究脉冲在非线性光纤中的传播，是一个丰富而活跃的跨学科领域的基础，使其在应用数学研究中特别及时。通过为不同的专业数学领域提供一个焦点，该主题为不同专业的数学家之间的合作创造了机会，同时为跨学科合作奠定了基础。本次会议特别旨在为这一令人兴奋的领域引入新的研究人员，重点关注HBCU/MI教师，他们的活动通常仅限于教学。虽然预计参与者主要来自北卡罗莱纳州和东南大西洋地区，但预计其他参与者将来自更广泛的数学科学界。会议的预期结果是，它将作为一个孵化器，在现有的和新的研究人员之间开展数学和跨学科的合作活动，从而促进少数民族服务机构在应用数学方面的研究活动。