Mathematical Sciences: 1988 Summer Seminar on "ComputationalSolution of Nonlinear Systems of Equations"

本项目是由美国数学学会和工业与应用数学学会主办，将在科罗拉多州立大学举办的应用数学夏季研讨会。该研讨会将对当前非线性方程组数值解的主要研究方向进行广泛的综述。希望参加这次会议将为在这一领域开始职业生涯的研究水平的研究生和年轻研究人员提供理想的准备。近年来，非线性系统的数值求解取得了重大进展，包括：全局牛顿或同伦方法、延拓方法、非线性共轭梯度和拟牛顿方法、分段线性方法、某些非线性方法的复杂性理论、网格细化和非线性多重网格方法。所有这些技术方面的专家都将参加这次会议。

This project is a summer seminar in applied mathematics to be held at Colorado State University and to be sponsored by the American Mathematical Society and the Society of Industrial and Applied Mathematics. The seminar will provide a wide-ranging survey of the current major thrusts in the numerical solution of nonlinear systems of equations. It is hoped that the participation in this conference will furnish ideal preparation for research-level graduate students and young researchers embarking upon careers in this area. In recent years significant progress has been made on the numerical solution of nonlinear systems, including: Global Newton or homotopy methods, continuation methods, nonlinear conjugate gradient and quasi-Newton methods, piecewise linear methods, complexity theory of certain nonlinear methods, mesh refinement and nonlinear multigrid methods. Experts in all of these techniques will participate in this meeting.