郭德泉数值技巧.doc

青岛农业大学 本科生课程论文 题 目： 数值分析课程设计 姓 名： 郭德泉 学 院： 理学与信息科学学院 专 业： 信息与计算科学 班 级： 12级01班 学 号： 指导教师： 常桂娟 完成时间： 2014年11月30日 二○一四年十二月○一日课 程 论 文 任 务 书 学生姓名 郭德泉 指导教师 常桂娟 论文题目 数值分析课程设计 论文内容（需明确列出研究的问题）： 运用数值分析的知识 来解决数学研究问题中的计算问题。（1）列主元Gauss消去法解方程组。（2）雅克比迭代法和高斯迭代法求线性方程组的解。（3）求解拉格朗日插值多项式和牛顿插值多项式。 资料、数据、技术水平等方面的要求：论文要符合一般学术论文的写作规范，具备学术性、科学性和一定的创造性。文字要流畅、语言要准确、论点要清楚、论据要准确、论证要完整、严密，有独立的观点和见解。内容要理论联系实际，计算数据要求准确，涉及到他人的观点、统计数据或计算公式等要标明出处，结论要写的概括简短。参考文献的书写按论文中引用的先后顺序连续编码。（根据情况修改） 发出任务书日期2014.11.20 完成论文（设计）日期 2014.11.30 学科组或教研室意见（签字） 院、系（系）主任意见（签字） 注：此表装订在课程论文之前。  目录 【摘要】·································································1 【关键词】································································1 【前言】·································································2 一、列主元Gauss消去法···················································3 （一）理论知识：·······················································3 （二）题目：··························································4 （三）程序清单：······················································4 （四）程序运行操作过程与输出结果：·····································5 （五）对计算过程与结果的分析：·········································7 （六）在课程设计中的心得体会：·········································7 二、雅克比迭代法和高斯-赛德尔迭代法·······································8 （一）理论知识：·······················································8 （二）题目：··························································8 （三）程序清单：·····