求解偏微分方程的SOR、ADI和多重网格方法的比较
A Comparison of SOR, ADI and Multigrid Methods for Solving Partial Differential Equations
摘要：
本文介绍了拉普拉斯方程的几种数值解法。开发了求解二维拉普拉斯方程的数值FORTRAN求解器。在求解器中实现的数值方法包括Jacobi，Gauss-Siedel，逐次过松弛，交替直接隐式和多重网格方法。对不同的数值方法进行了详细的比较和讨论
英文摘要：
This article presents several numerical techniques for solving Laplace equation. A numerical FORTRAN solver is developed to solve the 2D laplace equation. The numerical approaches implemented in the solver include Jacobi, Gauss-Siedel, Successive Over Relaxation, Alternating Direct Implicit and Multigrid methods. Detailed comparison between different numerical methods is presented and discussed
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
