科学计算实践大报告

1、教育的收费问题是社会的敏感热点问题。其重点是家教、集体补课、一对一等补课现象。学校的各项收费公布于家长群，接受社会各界的监督villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeop。

2、le,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromtheSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,S。

3、unandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,CollegeoflawandpoliticsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentool。

4、atetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,科学计算实践大报告信计12徐文豪1.上机题目11.1问题重述对如下积分方程：3212045251()()()8(1)1xxxxytdtyxxt(1)用复化辛普森积分公式在区间[0,1]求其离散近似解，再用求出的离散近似解通过三次样条插值得到连续近似解，并与如下真解做比较：21()(1)yxx(2)1.2问题分析将[0,1]分为n个长度相等的自区间，令1,,0,1,,ihxihinn(3)1()()()1ftxytt(4)将等式（1）中的积分项用复化辛普森公式展开后，结果如下：32112114525(0)2()4()(1)()8(1)62nniiiiixxxxxhffxffyxx(5)等式（5）实际上是y关于x的隐函数，但如果我们分别令,。

5、0,1,,212khxkkn，则等式（5）即转化为以(),0,1,,21kyxkn为未知量的21n阶方程组，由此可由列主元高斯消去法或共轭梯度法等接触各()kyx，这样就得到了()yx在[0,1]上的离散近似解，再通过三次样条插值，即可得到()yx在[0,1]的连续近似解。值得一提的是，当各()kyx求出来之后，等式(5)本身就是一个()yx在[0,1]之间的连续近似解，且效果应该比用三次样条插值得到的更好，在结果分析中我将其命名为“辛普森表达式”。1.3结果分析邮件附件中的mathprac1.m是上机题目一的完整程序，令区间数n=4时结果如下：教育的收费问题是社会的敏感热点问题。其重点是家教、集体补课、一对一等补课现象。学校的各项收费公布于家长群，接受社会各界的监督villagetemplesCentralOfficeeveryday,carryouttheirduties.CorrespondencerelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmo。

6、nths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujiangGovernmentestablishedoneyearstoofworkreport.TurnbackandforthmonthShanRoad,apartfromth。

7、eSecretary,Mrrankfootdiseaseimmobility,bamboocarinsteadofwalkingoutside,squarefoot(exceptformyselfand4guards),thewuxing,peace,SIan,Guangde,doorwayswing,ZhangZhutothedestination--wearingBu.Atdiweitotheimportanttownsoftroopsisdifficulttoaccess,wehavetochangeangles,Shanruggedtrails,Sunandrainontheway,hardshipexceptions,ifthepatrioticandpassionsofthewar,thanthesuccessfulcompletionoftasks.Anoldfrail,rank,long-distanceLawtonregrets,admirable!InNovember1939,IwasadmittedtotheFacultyoflaw,Collegeoflawand。

8、politicsinShanghai,butresignedfromthepostoffice,bidfarewelltothisshortandmemorablelife.(J)thesiazhenboatburiedJapanesemorningofOctober18,1937,siazhensicktoshunTangQiao-cutters,1fromNanxuntownjiaxingtoJapaneseboats,caughtdraggingbehind3smallboats,loadedwithmilitarygoods.Siazhentoolatetoescape,jumpedashoreJapancatchupwiththeboat,forcinghimtorowaboat.MeanwhilecaughtthemigrantsvillageZhangShun.Siazhenwassickforalongtime,从图中我们可以看出，真实曲线、辛普森表达式曲线和三次样条插值曲线几乎完全重合，说明近似效果非常好。为分析n对近似效果的影响，我们取12n和，结果如下：从图中我。

9、们可以看出，1n时近似效果不是很好，但2n时近似效果已经不错了。最后值得一提的是，从理论上将，随着n的增大，近似效果是越来越好的。但这并不意味着我们应该把n取得很大，因为当等式（5）对应的方程阶数变大00.10.20.30.40.50.60.70.80.910.20.30.40.50.60.70.80.911.11.2n=4xy插值节点真实曲线辛普森表达式曲线三次样条插值曲线00.10.20.30.40.50.60.70.80.910.20.30.40.50.60.70.80.911.11.2n=1xy插值节点真实曲线辛普森表达式曲线三次样条插值曲线00.10.20.30.40.50.60.70.80.910.20.30.40.50.60.70.80.911.11.2n=2xy插值节点真实曲线辛普森表达式曲线三次样条插值曲线教育的收费问题是社会的敏感热点问题。其重点是家教、集体补课、一对一等补课现象。学校的各项收费公布于家长群，接受社会各界的监督villagetemplesCentralOfficeeveryday,carryouttheirduties.Correspondenc。

10、erelatingtoeducationbytheChiefofthefirstsectionmarkedmydraftstatement.Workedafterafewmonths,I'vebeenburiedintheofficialprogram,veryrigidmonotonyofclericalcareer,flavourless.1939of7Augustbetween,County,andSecretarytoIwithtoOfficemeeting,forGovernmentestablishedoneyearstoworkreported,fortimerush,priornotforfullprepared,hadtoinwaybyrankAnnMrdescribedoneyearstoaboutpeople,andfiscal,andbuilt,andtaught,andinsurancefiveaspectsimportantmatters,Iaccordinglydetailednarrativefinishingwritten,completedWujian。