课题基金 / 基金详情

CMG Training - Modern Applied Mathematics for the Atmospheric and Oceanic Sciences

CMG Training - Modern Applied Mathematics for the Atmospheric and Oceanic Sciences
CMG 培训 - 大气和海洋科学的现代应用数学
批准号:
0222315
负责人:
Mark Green
金额:
$13.3万
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
项目状态:
已结题
起止时间:
2002-09-01 至 2004-08-31

项目摘要

项目成果

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中文摘要
翻译
这个项目是一个为期三周的暑期学校,一方面着眼于大气和海洋科学之间的相互作用,另一方面着眼于现代应用数学。 它是建立在三个主题的数字,随机和渐近。 数值部分强调发展现代保守平流计划和界面跟踪计划的地球物理传输问题。 渐近部分强调平衡流、简化模型和均匀化的动力学。 随机部分涵盖了各种主题,包括粒子模型,随机微积分,动力学理论和应用拉格朗日搅拌和湿对流。 大约有15名教师提供讲座和指导学生,因为他们进行短期项目,以应用讲座材料。 学生团体由20名或更多的研究生和大约12名博士后研究人员组成。 教师和学生来自地球科学和数学界。
英文摘要
This project is a three-week summer school that looks at the interactions between atmospheric and oceanic sciences on the one hand and modern applied mathematics on the other. It is built around the three themes of numerics, stochastics and asymptotics. The numerics component emphasizes the development of modern conservative advection schemes and interface tracking schemes for geophysical transport problems. The asymptotics component emphasizes the dynamics of balanced flows, reduced models and homogenization. The stochastics component covers a variety of topics including particle models, stochastic calculus, kinetic theory and applications to Lagrangian stirring and moist convection. Approximately 15 faculty provide lectures and mentor the students as they conduct short projects to apply the lecture material. The student body consists of 20 or more graduate students and approximately 12 post-doctoral researchers. Faculty and students are drawn from both the geosciences and the mathematics communities.
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