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.

北卡罗来纳州A＆T州立大学的数学系将于2002年5月20日至24日举办NSF/CBMS区域研究会议，讲述“非线性波传播中的数学方法”。为期五天的会议会议记录将由J. Kenneth Shaw教授在以下主题上发表的十个讲座的基础：光纤概述；数学模型；纤维中的脉冲传播；数学建模和仿真；光学孤子；相位调制和孤子；优化问题；平面波导和椭圆形核纤维；纤维中的脉冲设计；回顾，审查和研究方向。除这些讲座外，还应在非线性数学和光纤中其他领先的研究数学家和工程师领导的半结构化讨论。选择的主题是由研究脉冲通过非线性光纤传播的动机，这是肥沃而活跃的跨学科区域的基础，使其在应用数学研究中尤其及时。通过为原本多样化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，同时奠定了跨学科合作的基础。这次会议尤其是为了将新研究人员介绍到这个令人兴奋的领域，重点是HBCU/MI教师，其活动通常仅限于教学。 虽然北卡罗来纳州和东南 - 大西洋地区的参与主要预计，但其他参与者的参与也可以从更广泛的数学科学社区获得。会议的预期结果是，它将充当成熟和新研究人员之间数学和跨学科协作活动的孵化器，从而刺激少数派服务机构的应用数学研究活动。