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

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中文摘要
翻译
这个项目是一个为期三周的暑期班,一方面着眼于大气和海洋科学与现代应用数学之间的相互作用。它围绕着数值、随机性和渐近性这三个主题而建立。数值部分着重发展用于地球物理运输问题的现代保守平流方案和界面跟踪方案。渐近部分强调平衡流动、简化模型和同质化的动态。随机学部分涵盖各种主题,包括粒子模型、随机微积分、动力学理论以及对拉格朗日搅拌和湿对流的应用。大约有15名教职员工在学生进行应用讲义材料的小项目时提供讲课和指导。学生群体由20名或更多的研究生和大约12名博士后研究员组成。教师和学生都来自地球科学界和数学界。
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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海外基金