A Conference on New Frontiers in Numerical Analysis and Scientific Computing

PI建议于2013年4月在肯特州立大学举办一次为期两天的数值分析和科学计算前沿会议。本次会议的主题包括（1）大型线性和非线性方程组的快速迭代解，（2）不适定问题的迭代解，（3）逆问题的解，（4）大规模特征值和奇异值问题，线性代数中的结构化问题，以及（5）液晶数学及其在生物学中的应用。会议主题围绕数值分析和科学计算工具的最新发展。近年来，数值分析和科学计算领域有了新的重要发展。在新的计算算法的设计和它们的理论分析和应用到不同的科学分支的进展，在这个领域产生了许多新的前沿。一个重要的工具，固有的大多数数值求解方法，是使用迭代法。迭代方法在算法和理论上的任何突破都将对解决不同学科中的许多重要问题产生巨大的影响。另一方面，来自不同领域的应用为迭代方法的算法设计和分析理论的发展提供了一个很好的平台。PI建议组织一次会议，讨论这些前沿领域的快速发展。本次会议的重点包括：大型线性和非线性方程组的快速迭代解，不适定问题的迭代解，反问题的解，大规模特征值和奇异值问题，线性代数中的结构化问题，正交多项式，求积，液晶数学以及生物学应用。本次会议涵盖了对解决科学、工程、工业和经济等广泛学科中的复杂问题至关重要的计算主题，其应用领域包括医学和生物图像处理、癌症诊断、液晶显示、移动的平板电脑、信息技术、飞行器设计、雷达技术、石油和天然气储层以及自然灾害预测等。

The PI proposes to organize a two-day conference in frontiers of numerical analysis and scientific computing in Kent State University in April 2013. The topics of this conference include (1) fast iterative solutions of large systems of linear and nonlinear equations, (2) iterative solutions of ill-posed problems, (3) solutions of inverse problems, (4) large-scale eigenvalue and singular value problems, structured problems in linear algebra, and (5) mathematics for liquid crystal, and applications to biology. The conference topics center around the recent developments of tools in numerical analysis and scientific computing. In recent years, there have been new and important developments in the field of numerical analysis and scientific computing. Advances in the design of new computational algorithms and their theoretical analysis and applications to different branches of sciences, have generated many new frontiers in this field. An important tool, inherent in most numerical solution approaches, is the use of iterative methods. Any breakthrough in the algorithm and theory of iterative methods will have a huge impact on solving many important problems in different disciplines. On the other hand, the applications from different fields provide a great platform for the advance of algorithmic designs and analytical theories of iterative methods. The PI proposes to organize a conference to address the fast development in these frontiers. The focus of this conference includes: fast iterative solutions of large systems of linear and nonlinear equations, iterative solutions of ill-posed problems, solutions of inverse problems, large-scale eigenvalue and singular value problems, structured problems in linear algebra, orthogonal polynomials, quadratures, mathematics for liquid crystal, and applications to biology. This conference covers computational subjects which are crucial for solving complicated problems in a wide range of scientific, engineering, industrial, and economic disciplines, with applications in areas such as medical and biological image processing, cancer diagnosis, liquid crystal display, mobile tablet, information technology, aircraft design, radar technology, petroleum and natural gas reservoir, and natural disaster prediction, etc.