Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado, March 29-April 4, 1998

铜山多重网格方法会议，科罗拉多州铜山，1998 年 3 月 29 日至 4 月 4 日

• 批准号: 9727525
• 负责人: Thomas Manteuffel
• 金额: $ 1万
• 依托单位: Front Range Scientific Computations, Inc.
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-09-15 至 1998-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9727525&HistoricalAwards=false
• 关键词: Copper; Mountain; Conference; Multigrid; Methods

Manteuffel 9727525 The researcher and his colleagues organize a conference devoted to iterative methods for the solution of linear and nonlinear systems of equations. Particular themes are nonsymmetric linear systems, globally convergent algorithms for nonlinear systems, algorithms of optimal order of work, saddle point problems, and applications on multiprocessor computer architectures. The mathematical description of real-world problems leads inevitably to equations to solve. Many times the equations are nonlinear ones, arising because the underlying problem is nonlinear. Often, however, the original problem is linear and the mathematical equations are too. Such problems arise in all areas of science and technology, and are of special interest in biology, materials, environmental studies, and manufacturing. Progress in these areas requires solution of more comprehensive modeling equations --- such models are usually more nonlinear than simpler models ---, or more accurate solution of existing models --- increasing the size of the numerical problem to be solved. In certain problems, notably in fluid flow and in elasticity, computational methods for the equations describing the phenomena yield numerical systems having a saddle point; the solution is on a surface that looks locally like a saddle. Computational methods for such problems offer special difficulties. The conference addresses advances in algorithms to deal with larger numerical systems, nonlinearities, the amount of time and work needed to get a solution, saddle points, and the use of multiprocessor computers.

曼陀菲尔 9727525 研究人员和他的同事组织了一次会议 致力于迭代方法的解决线性和 非线性方程组 具体的主题是 非对称线性方程组的全局收敛算法 非线性系统，最优工作阶算法，鞍点 点问题及其在多处理机上的应用 建筑 现实世界问题的数学描述 不可避免地要解方程。 很多时候， 非线性的，因为潜在的问题是 非线性 然而，通常，原始问题是线性的， 数学方程也是。 这些问题在所有 科学和技术领域，并特别感兴趣， 生物、材料、环境研究和制造。 这些领域的进展需要更全面的解决方案， 模型方程-这种模型通常是非线性的 更简单的模型，或更精确的解决方案， 模型-增加数值问题的规模， 解决了 在某些问题中，特别是在流体流动和 弹性力学，描述弹性力学方程的计算方法 这些现象产生具有鞍点的数值系统; 解在局部看起来像马鞍的表面上。 这些问题的计算方法提供了特殊的 困难 会议讨论了算法的进展 处理更大的数值系统，非线性， 需要大量的时间和工作来得到解决方案，鞍点， 以及多处理器计算机的使用。