Sixth IMACS International Symposium on Iterative Methods in Scientific Computing; March 27-30, 2003, Denver, CO

研究者和他的同事们组织了一次关于科学计算中的迭代方法的会议。求解线性和非线性方程组的迭代方法在物理现象的数值模拟中发挥着越来越重要的作用。预处理是显著提高性能的关键，因为它允许人们在直接方法的昂贵分解的Scylla和缓慢收敛的Charybdis之间找到一条路径。最近计算生物学活动的激增为迭代方法创造了新的机会。例如，蛋白质折叠问题涉及到预测蛋白质的天然状态。这是通过最小化一个复杂的能量函数来实现的。解决该问题的全局优化方法采用迭代方法，但计算限制了此类方法在小蛋白质（少于100个氨基酸残基）中的应用。高性能计算是研究人员正在采取的一个途径。蛋白质折叠问题只是可以使用迭代方法解决的众多应用中的一个。本次会议的一些具体主题是：应用（新的重点是计算生物学）、领域分解、预处理、并行方法、非对称解算器、非线性系统和特征值解算器、多层方法、Krylov方法、跨学科研究、学生论文和开放问题。国际模拟数学和计算机协会（IMACS）科学计算迭代方法国际专题讨论会自1988年以来定期举行。研究者和他的同事组织了第六次这样的会议。会议致力于概述使用迭代方法的最新技术，并着眼于过去、现在和未来的贡献。重点放在确定未来的研究方向在现代科学计算的主流。特别令人感兴趣的是关于跨学科研究、开放问题和应用的演讲，特别是在计算生物学方面。IMACS应用数值数学杂志的特刊专门报道了这次会议。

Knyazev0209311 The investigator and his colleagues organize a conference on iterative methods in scientific computing. Iterative methods for the solution of linear and nonlinear systems of equations play an increasingly important role in the numerical simulation of physical phenomena. Preconditioning is the key for significant improvement of the performance as it allows one to find a path between Scylla of expensive factorizations of direct methods and Charybdis of slow convergence. The recent surge of activity in computational biology creates new opportunities for iterative methods. As an example, the protein folding problem involves predicting the native state of a protein. This is accomplished by minimizing a complex energy function. Global optimization methods for solving this problem employ iterative methods, but computational limitations have restricted the application of such methods to small proteins (fewer than 100 amino acid residues). High performance computing is one avenue researchers are taking. The protein folding problem is only one of a great many applications that can use iterative methods to solve them. Some of the specific topics targeted at this meeting are: applications (with new emphasis on computational biology), domain decomposition, preconditioning, parallel methods, nonsymmetric solvers, nonlinear systems and eigenvalue solvers, multilevel methods, Krylov methods, interdisciplinary research, student papers, and open problems. The International Association for Mathematics and Computers in simulations (IMACS) International Symposiums on Iterative Methods in Scientific Computing are meetings that have been held regularly since 1988. The investigator and colleagues organize the sixth such meeting. The conference is dedicated to providing an overview of the state of the art in the use of iterative methods with an eye to contributions of the past, present and future. The emphasis is placed upon identifying future research directions in the mainstream of modern scientific computing. Of particular interest are talks on interdisciplinary research, open problems, and applications, particularly in computational biology. A special issue of the IMACS Journal Applied Numerical Mathematics is devoted to the meeting.