International Conference on Interdisciplinary Applied and Computational Mathematics

跨学科应用与计算数学国际会议将于2011年6月17日至21日在浙江大学举行，为期五天，中国。这次会议将汇集世界领先的研究人员，讨论多尺度、多物理和随机建模、分析和计算正、逆和成像问题及其应用的最新进展。会议重点讨论了三个相关话题。首先是多尺度、多物理建模、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。第二是将反问题技术与成像分析方法相结合，用于在无损检测、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。三是对随机介质中的成像和反问题以及随机偏微分方程组的数值解等大规模问题的不确定性量化。每天将有大约三位全体演讲者，进行一小时的演讲。虽然全体演讲者主要来自数学背景，但许多当地演讲者将形成实验背景。此外，还将举行三次介绍性会谈，阐述每个领域的挑战性质，并在会议结束时举行展望会议。将为研究生和博士后提供张贴广告的机会，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。多尺度、多物理建模和计算方法、反问题方法和成像技术的最新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太阳能收集、医学成像和治疗等纳米技术的发展。由于物理模型及其参数、多尺度材料特性、运行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、设备和过程没有得到很好的理解和控制。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、分析或数值误差的模拟不确定性进行表征和管理。必须开发通用和有效的数学模型和新的计算算法来模拟具有适当控制不确定性的多尺度、多物理过程。对随机效应在正问题、逆问题和成像问题上的作用的理解将对这些关键科学研究领域的发展产生广泛的影响。通过将这些领域结合成一个有重点的会议，并穿插理论、应用和计算演讲，我们希望促进具有不同学科背景的科学家之间的交叉培养。通过概述理论工具可能对当今最突出的问题产生的潜在影响，研讨会将影响和激励演讲者和研讨会参与者机构的教育努力。

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.