Mathematical Sciences: Seventh Copper Mountain Conference on Multigrid Methods

麦考密克9521625 首席研究员和他的同事组织了第七届铜山会议的多重网格方法。 解微分方程的数值方法通常开始是在方程成立的区域加上网格。 从微分方程，代数方程，然后开发，其解决方案代表的微分方程的quolution。 近似解的精度通常用网格的精细度来衡量。 多重网格方法是求解偏微分方程的数值方法，它系统地利用不同网格上近似解之间的关系，以获得精度与最细网格一致但工作量少得多的解。 这些方法通常比其他方法更有效。 在过去的十几年里，研究已经将这些方法扩展到了工程学、制造业、材料、物理学和流体动力学中具有相当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.