Mathematical Sciences: Seventh Copper Mountain Conference on Multigrid Methods

首席研究员麦考密克9521625和他的同事们组织了关于多重网格方法的第七届铜山会议。求解微分方程的数值方法通常首先在方程所在的区域上施加网格。从微分方程出发，发展出了代数方程；它们的解代表了微分方程的解。近似解的精度通常用网格的细度来衡量。多重网格法是一种求解偏微分方程组的数值方法，它系统地利用不同网格上近似解之间的关系，得到一个精度与最细网格一致但工作量相当小的解。这些方法往往比其他方法效率高得多。在过去的十几年中，研究已经将这些方法扩展到在工程、制造、材料、物理和流体动力学中具有相当重要的实际意义的广泛问题。

McCormick 9521625 The principal investigator and his colleagues organize the seventh Copper Mountain conference on multigrid methods. Numerical methods for solving a differential equation usually begin by imposing a grid on the region where the equation holds. From the differential equation, algebraic equations are then developed; their solution represents the qolution of the differential equation. The accuracy of the approximate solution commonly is measured by the fineness of the grid. Multigrid methods are numerical methods for solving partial differential equations that systematically exploit the relationship between approximate solutions on different grids to arrive at a solution whose accuracy is consistent with the finest grid but for considerably less work. The methods are often dramatically more efficient than others. Research in the past dozen years has extended the methods to a broad range of problems of considerable practical import in engineerine, manufacturing, materials, physics, and fluid dynamics.