International Conference on Interdisciplinary Applied and Computational Mathematics

国际跨学科应用与计算数学会议将于2011年6月17日至21日在中国杭州的浙江大学举行，为期5天。本次会议将汇集世界领先的研究人员，讨论多尺度，多物理场，随机建模，分析和计算的最新进展，直接，逆，成像问题和应用。会议的重点是三个相关主题。首先是多尺度、多物理场建模、分析和计算技术的发展，这些技术对纳米材料和制造的模拟和设计至关重要。二是将反问题技术与成像分析方法相结合，用于无损检测、光学成像、近场显微镜和纳米/生物成像中出现的重要物理过程。三是大规模问题的不确定性量化，重点是随机介质中的成像和逆问题以及随机偏微分方程的数值解。每天将有3位全体演讲人，进行1小时的演讲。虽然全体会议发言人主要来自数学背景，但许多当地发言人将具有实验背景。此外，还将有三场介绍性演讲，阐述每个领域的挑战性质，并在会议结束时进行前瞻性讨论。研究生和博士后将参加海报会议，宣传他们的研究成果。NSF基金将用于支持美国科学家（主要是初级研究人员）参加会议并在各个应用领域交流新想法。近年来，多尺度、多物理场建模和计算方法、反问题方法和成像技术的创新发展适用于描述许多其他物理过程，并将对计算生物学、材料科学、纳米技术和成像科学中的模型建模和计算产生影响。这些领域的进展将极大地促进用于太阳能收集、医学成像和治疗的纳米技术的发展。由于物理模型及其参数、多尺度材料特性、操作环境或测量的不确定性，许多对科学和工程具有重要意义的物理系统、设备和过程并不是很好地理解和控制。虽然数值模拟为关键决策提供了可行的替代方案，但必须对物理、分析或数值误差产生的模拟不确定性进行表征和管理。必须开发通用和高效的数学模型和新颖的计算算法来对多尺度、多物理过程进行建模，并适当控制不确定性。了解随机效应在正、逆和成像问题中的作用将对这些关键科学研究领域的进展产生广泛的影响。通过将这些领域结合成一个重点会议，并穿插理论、应用和计算方面的讨论，我们希望促进不同学科背景的科学家之间的交流。通过概述理论工具对当今最突出问题可能产生的潜在影响，讲习班将影响和激励发言者和讲习班参与者所在机构的教育工作。

The proposed International Conference on Interdisciplinary Applied and Computational Mathematics is a five-day conference to be held June 17-21, 2011 at Zhejiang University, Hangzhou, China. This conference will bring together leading researchers in the world to discuss recent advances on Multiscale, Multiphysics, and Stochastic Modeling, Analysis and Computation of Direct, Inverse, and Imaging Problems and Applications. The conference focuses on three related topics. The first is the development of multi-scale, multiphysics modeling, analysis, and computation techniques that are critically important for the simulation and design of nano materials and fabrications. The second is the integration of inverse problem techniques with imaging analysis methods for important physical processes that arise in nondestructive testing, optical imaging, near-field microscopy, and nano/bio imaging. The third is the uncertainty quantification of the large scale problems focusing on imaging and inverse problems in random media as well as numerical solutions of stochastic partial differential equations. There will be about three plenary speakers each day, giving 1-hour talks. While the plenary speakers are predominantly from a mathematical background, many of the local speakers will be form an experimental background. Also there will be three introductory talks which lay out the nature of the challenges in each area, and a forward looking session at the end of the conference. A poster session will be available to graduate students and postdocs for advertising their research results. The NSF fund will be used to support US-based scientists (mostly junior researchers) for attending the conference and exchanging new ideas in various application areas. Recent innovative developments of the multi-scale, multi-physics modeling and computational methods, inverse problem methods, and imaging techniques are applicable to describe many other physical processes and will have impact on the modeling and computation of the models in computational biology, multi-scale modeling of materials science, nano technology, and imaging science. Advances in these fields will greatly contribute to the development nano technologies for solar energy harvesting, medical imaging and therapeutics. Many physical systems, devices and processes of importance to science and engineering are not very well understood and controlled due to uncertainty in physical models and their parameters, multi-scale material properties, the operating environment, or measurement. While numerical simulations offer a viable alternative for critical decision making, simulation uncertainties from physical, analytical, or numerical errors must be characterized and managed. General and efficient mathematical models and novel computational algorithms must be developed for modeling multi-scale, multi-physics processes with appropriate control of uncertainty. The understanding of the role of stochastic effects on the direct, inverse, and imaging problems will have broad impact on the advancement of these key areas of scientific study. By combining these areas into a focused conference, and interspersing theoretical, applied, and computational talks, we hope to promote a cross-fertilization between scientists with various disciplinary backgrounds. By outlining the potential impact that theoretical tools can have on the most salient issues of our day, the workshop will influence and invigorate the educational efforts at the institutions of the speakers and workshop participants.