International Conference on Multiscale Methods and Partial Differential Equations; August 26-27, 2005; Los Angeles, CA

多尺度方法和偏微分方程国际会议；

• 批准号: 0435593
• 负责人: Thomas Hou
• 金额: $ 1万
• 依托单位: California Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-01-01 至 2005-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0435593&HistoricalAwards=false
• 关键词: International; Conference; Multiscale; Methods; Partial

The International Conference on Multiscale Methods and Partial Differential Equations will be held at UCLA on August 26-27, 2005. The objective of this conference is to bring together researchers, students and practitioners with interest in the theoretical, computational and practical aspects of multiscale problems and related partial differential equations. The conference will provide a forum to exchange and stimulate new ideas from different disciplines, and to formulate new challenging multiscale problems that will have impact in applications. Despite considerable progress in a wide range of the sciences, and a growing awareness of the importance of multiscale approaches, currently there is fragmentation in multiscale methodology, its rigorous analysis and its applications. There is an urgent need to develop systematic multiscale analysis and computationalmethods that can be applied to a wide range of practical problems. This effort poses new challenge to the theory of partial differential equations. By bringing together analysts, experts in multiscale modeling,and computational scientists, we can identify the key issues in multiscale mathematics and common themes of various multiscale problems arising from different disciplines. This provides a unique opportunity to make significant advances in this area.Advances of computational sciences in the past few decades have resulted in an increase of several orders of magnitude in computing power. Modeling and simulations of physical problems in a narrow range of scales have been quite successful. However, to solve complex physical problems which involves a wide range of spatial or temporal scales remains to be a major challenge in many scientific disciplines. These problems are of vital importance to our nationalinterests, affecting our policy and technology advances in areas such as environmental science, energy, biology, materials science, and information science. Multiscale analysis, modeling, and simulation is an emerging new research area which has already made significant impact in many scientific disciplines. There have been many exciting recent, but problem specific, advances in multiscale analysis, modeling and simulation. Up to now, most work on multiscale modeling and computation has been developed within an individual discipline. Breakthroughs in specific domains could be applicable in a broader context, but remain isolated. As a result, multiscale descriptions are nowhere near their potential level of impact, including in education and industry. One of the main purposes of our multiscale conference is to integrate these isolated efforts and diverse developments. The conference will also provide a special opportunity to connect applied mathematicians with domain experts in multiscale modeling and computation. This will help bridge the gap in research and knowledge transfer between mathematics and other application disciplines.

多尺度方法和偏微分方程国际会议将于2005年8月26-27日在加州大学洛杉矶分校举行。这次会议的目的是聚集对多尺度问题和相关偏微分方程的理论、计算和实践方面感兴趣的研究人员、学生和实践者。会议将提供一个论坛，交流和激发不同学科的新想法，并制定新的具有挑战性的、将在应用中产生影响的多尺度问题。尽管在广泛的科学领域取得了长足的进步，人们越来越认识到多尺度方法的重要性，但目前在多尺度方法、其严格分析及其应用方面仍存在支离破碎的情况。迫切需要发展可应用于广泛的实际问题的系统的多尺度分析和计算方法。这对偏微分方程组理论提出了新的挑战。通过将分析师、多尺度建模专家和计算科学家聚集在一起，我们可以确定多尺度数学中的关键问题，以及来自不同学科的各种多尺度问题的共同主题。这为在这一领域取得重大进展提供了一个独特的机会。在过去的几十年里，计算科学的进步导致了计算能力的几个数量级的增加。在很小的尺度范围内对物理问题进行建模和模拟已经相当成功。然而，解决涉及大范围空间或时间尺度的复杂物理问题仍然是许多科学学科面临的主要挑战。这些问题关系到我们的国家利益，影响到我们在环境科学、能源、生物、材料科学和信息科学等领域的政策和技术进步。多尺度分析、建模和仿真是一个新兴的研究领域，已经在许多科学学科中产生了重大影响。最近在多尺度分析、建模和模拟方面取得了许多令人兴奋的进展，但问题具体。到目前为止，关于多尺度建模和计算的大部分工作都是在单个学科内进行的。在特定领域的突破可能适用于更广泛的背景，但仍然是孤立的。因此，多尺度描述远远达不到其潜在影响水平，包括在教育和工业方面。我们多规模会议的主要目的之一是整合这些孤立的努力和不同的发展。会议还将提供一个特殊的机会，将应用数学家与多尺度建模和计算领域的专家联系起来。这将有助于弥合数学和其他应用学科之间在研究和知识转移方面的差距。