数学实验“等距节点插值-Hermite插值-分段插值(线性-二次-三次)”实验报告(内含matlab程序)(共6页)

1、We will continue to improve the company's internal control system, and steady improvement in ability to manage and control, optimize business processes, to ensure smooth processes, responsibilities in place; to further strengthen internal controls, play a control post independent oversight role

2、of evaluation complying with third-party responsibility; to actively make use of internal audit tools detect potential management, streamline, standardize related transactions, strengthening operations in accordance with law. Deepening the information management to ensure full communication "ze

3、ro resistance". To constantly perfect ERP, and BFS+, and PI, and MIS, and SCM, information system based construction, full integration information system, achieved information resources shared; to expand Portal system application of breadth and depth, play information system on enterprise of As

4、sistant role; to perfect daily run maintenance operation of records, promote problem reasons analysis and system handover; to strengthening BFS+, and ERP, and SCM, technology application of training, improve employees application information system of capacity and level. Humanistic care to ensure &q

5、uot;zero." To strengthening Humanities care, continues to foster company wind clear, and gas are, and heart Shun of culture atmosphere; strengthening love helped trapped, care difficult employees; carried out style activities, rich employees life; strengthening health and labour protection, org

6、anization career health medical, control career against; continues to implementation psychological warning prevention system, training employees health of character, and stable of mood and enterprising of attitude, created friendly fraternity of Humanities environment. To strengthen risk management,

7、 ensure that the business of "zero risk". To strengthened business plans management, will business business plans cover to all level, ensure the business can control in control; to close concern financial, and coal electric linkage, and energy-saving scheduling, national policy trends, str

8、engthening track, active should; to implementation State-owned assets method, further specification business financial management; to perfect risk tube control system, achieved risk recognition, and measure, and assessment, and report, and control feedback of closed ring management, improve risk pre

9、vention capacity. To further standardize trading, and strive to achieve "according to law, standardize and fair." Innovation of performance management, to ensure that potential employees "zero fly". To strengthen performance management, process control, enhance employee evaluatio

10、n and levels of effective communication to improve performance management. To further quantify and refine employee standards . Work, full play party, and branch, and members in "five type Enterprise" construction in the of core role, and fighting fortress role and pioneer model role; to co

11、ntinues to strengthening "four good" leadership construction西京学院数学软件实验任务书课程名称数学软件实验班级数0901学号姓名李亚强实验课题等距节点插值，Hermite插值，分段插值（线性，二次，三次）实验目的熟悉等距节点插值，Hermite插值，分段插值（线性，二次，三次）实验要求运用Matlab/C/C+/Java/Maple/Mathematica等其中一种语言完成实验内容等距节点插值，Hermite插值，分段插值（线性，二次，三次）成绩教师实验十六实验报告1、 实验名称：等距节点插值，Hermite插值，

12、分段插值（线性，二次，三次）。2、 实验目的：进一步熟悉等距节点插值，Hermite插值，分段插值（线性，二次，三次）。3、 实验要求：运用Matlab/C/C+/Java/Maple/Mathematica等其中一种语言完成程序设计。4、 实验原理：1 等距节点插值：差分分为前向差分、后向差分和中心差分三种，它们的记法及定义如下所示:阶前向差分公式阶后向差分公式阶中心差分公式其中： -前向差分； -后向差分； -中心差分。假设，为了方便计算，构造差分表()。这里只说明前向牛顿插值，其多项式可表示为如下形式： 其中为步长，且的取值范围为。2 埃尔米特插值：埃尔米特插值法满足在节点上等于给定函数

13、值，而且在节点上的导数值也等于给定的导数值，对于有高阶导数的情况，埃尔米特插值多项式比较复杂，在实际应用中，常常遇到的是函数值与一阶导数值给定的情况，在这种情况下，个节点的埃尔米特插值多项式的表达形式如下所示：其中 3 分段插值：给定插值节点、节点函数值及对应的导数值，则满足下面条件的分段埃尔米特插值函数的表达式如下所示：5、 实验内容：%等距节点插值function f,f0= dengjujiedian(x,y,x0)syms t;if(length(x) = length(y) n = length(x); c(1:n) = 0.0;else disp('x和y的维数不相等！&#

14、39;); return;endf = y(1);y1 = 0;xx =linspace(x(1),x(n),(x(2)-x(1);if(xx = x) disp('节点之间不是等距的！'); return;endfor(i=1:n-1) for(j=1:n-i) y1(j) = y(j+1)-y(j); end c(i) = y1(1); l = t; for(k=1:i-1) l = l*(t-k); end; f = f + c(i)*l/factorial(i); simplify(f); y = y1; endf0=subs(f,'t',(x0-x(1

15、)/(x(2)-x(1);%埃尔米特插值function f,f0= Hermite(x,y,y_1,x0)syms t;f = 0.0;if(length(x) = length(y) if(length(y) = length(y_1) n = length(x); else disp('y和y的导数的维数不相等！'); return; endelse disp('x和y的维数不相等！'); return;endfor i=1:n h = 1.0; a = 0.0; for j=1:n if( j = i) h = h*(t-x(j)2/(x(i)-x(j)

16、2); a = a + 1/(x(i)-x(j); end end f = f + h*(x(i)-t)*(2*a*y(i)-y_1(i)+y(i);endf0=subs(f,'t',x0);%分段差值function f,f0 = fenduan(x,y,y_1,x0)syms t;f = 0.0;f0 = 0.0;if(length(x) = length(y) if(length(y) = length(y_1) n = length(x); else disp('y和y的导数的维数不相等！'); return; endelse disp('x和y

17、的维数不相等！'); return;end for i=1:n if(x(i)<=x0)&& (x(i+1)>=x0) index = i; break; endend h = x(index+1) - x(index); fl = y(index)*(1+2*(t-x(index)/h)*(t-x(index+1)2/h/h + . y(index+1)*(1-2*(t-x(index+1)/h)*(t-x(index)2/h/h;fr = y_1(index)*(t-x(index)*(t-x(index+1)2/h/h + . y_1(index+1)

18、*(t-x(index+1)*(t-x(index)2/h/h; f = fl + fr; f0 = subs(f,'t',x0); 利用设在基坑边的固定泵输送砼到施工面，人工摊铺，平板振捣器振捣密实，用刮杠沿模板顶将砼刮平，并用木抹搓平压实，确保砼密实和表面平整。砼浇注时埋设支立模板及钢筋支架所需预埋铁件play levels cadres in enterprise development in the of backbone backbone role; to full strengthening members youth work, full play youth e

19、mployees in company development in the of force role; to improve independent Commission against corruption work level, strengthening on enterprise business key link of effectiveness monitored. , And maintain stability. To further strengthen publicity and education, improve the overall legal system.

20、We must strengthen safety management, establish and improve the education, supervision, and evaluation as one of the traffic safety management mechanism. To conscientiously sum up the Olympic security controls, promoting integrated management to a higher level, higher standards, a higher level of development. Employees, today is lunar calendar on December 24, the ox Bell is about to ri