A Conference on New Frontiers in Numerical Analysis and Scientific Computing

国际和平研究所提议于2013年4月在肯特州立大学组织一次为期两天的关于数值分析和科学计算前沿的会议。这次会议的主题包括(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)反问题的解，(4)大规模特征值和奇异值问题，线性代数中的结构化问题，(5)液晶数学，以及在生物中的应用。会议的主题围绕着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及其理论分析和对不同科学分支的应用方面的进步，在该领域产生了许多新的前沿。大多数数值求解方法固有的一个重要工具是迭代方法的使用。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。国际和平协会建议组织一次会议，以解决这些前沿领域的快速发展问题。这次会议的重点包括：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的解，线性代数中的结构化问题，正交多项式，求积，液晶数学，以及在生物上的应用。这次会议涵盖了对解决广泛的科学、工程、工业和经济学科中的复杂问题至关重要的计算主题，应用领域包括医学和生物图像处理、癌症诊断、液晶显示器、移动平板电脑、信息技术、飞机设计、雷达技术、石油天然气藏和自然灾害预测等。

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.