Mathematical Sciences: Copper Mountain Conference on Iterative Methods - April 9-13, 1996

数学科学：铜山迭代方法会议 - 1996 年 4 月 9-13 日

• 批准号: 9528039
• 负责人: Thomas Manteuffel
• 金额: $ 0.73万
• 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: 1996
• 资助国家: 美国
• 起止时间: 1996-02-01 至 1997-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9528039&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Copper; Mountain; Conference

Manteuffel 9528039 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, 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, or more accurate solution of existing models. In either case, these needs increase the size of the equations or their nonlinearity. The conference addresses advances in algorithms to deal with the bigger size of the equations, nonlinearities, the amount of time and work needed to get a solution, and the possible use of multiprocessor computers.

曼特伊 研究人员和他的同事组织了一次会议，专门讨论线性和非线性方程组的迭代解法。 特别的主题是非对称线性系统，非线性系统的全局收敛算法，最佳工作顺序的算法，以及在多处理器计算机体系结构上的应用。 对现实世界问题的数学描述不可避免地会导致方程的求解。 很多时候，方程是非线性的，因为根本问题是非线性的。 然而，通常，原始问题是线性的，数学方程也是线性的。 这些问题出现在科学和技术的所有领域，在生物学，材料，环境研究和制造业中特别感兴趣。 在这些领域的进展需要更全面的建模方程的解决方案，或更准确的解决方案，现有的模型。 在任何一种情况下，这些需要增加方程的大小或它们的非线性。 会议讨论了算法的进展，以处理更大规模的方程，非线性，获得解决方案所需的时间和工作量，以及多处理器计算机的可能使用。