quadrature_jacobi_1d.c

一个用来实现偏微分方程中网格的计算库

	    _points[ 9](0)=9.1695838655259485329313462701803e-01L;	_weights[ 9]=6.0439209604797757927329621765769e-03L;
	    _points[10](0)=9.7472637960247965024666881353837e-01L;	_weights[10]=1.0636672932445414075338809612253e-03L;

	    return;
	  }
	case TWENTYSECOND:
	case TWENTYTHIRD:
	  {
	    _points.resize (12);
	    _weights.resize(12);

	    _points[ 0](0)=8.5390549884274193686644608778398e-03L;	_weights[ 0]=2.1664860886871767324583472077976e-02L;
	    _points[ 1](0)=4.4446463155407723025466798785553e-02L;	_weights[ 1]=4.7427851980377470134309182197087e-02L;
	    _points[ 2](0)=1.0685449088347665763410677043250e-01L;	_weights[ 2]=6.6606750626673198130834485351975e-02L;
	    _points[ 3](0)=1.9215105452985404099105725622861e-01L;	_weights[ 3]=7.6896602680041006281204469112373e-02L;
	    _points[ 4](0)=2.9538088426258022162291683437601e-01L;	_weights[ 4]=7.7696316815531026628765631099760e-02L;
	    _points[ 5](0)=4.1054508120145768248903435055933e-01L;	_weights[ 5]=7.0109339997630094495921805029671e-02L;
	    _points[ 6](0)=5.3095084931281767062893024289682e-01L;	_weights[ 6]=5.6613843713667631943701105156121e-02L;
	    _points[ 7](0)=6.4960065027725499276629172334298e-01L;	_weights[ 7]=4.0451653706913616760646424250646e-02L;
	    _points[ 8](0)=7.5959888952522705374260257404342e-01L;	_weights[ 8]=2.4876780409265432012508172290016e-02L;
	    _points[ 9](0)=8.5455254376493588079021191640562e-01L;	_weights[ 9]=1.2436009166422265607483293056674e-02L;
	    _points[10](0)=9.2894210126441101784881015513432e-01L;	_weights[10]=4.4448077956684623227961458658283e-03L;
	    _points[11](0)=9.7843793683414963909190691691700e-01L;	_weights[11]=7.7518222093802835724581451187414e-04L;

	    return;
	  }

	case TWENTYFOURTH:
	case TWENTYFIFTH:
	  {
	    _points.resize (13);
	    _weights.resize(13);

	    _points[ 0](0)=7.3646510260893216506914984138223e-03L;	_weights[ 0]=1.8714731585615175193374408664994e-02L;
	    _points[ 1](0)=3.8398138739678350376832524864142e-02L;	_weights[ 1]=4.1320289419839298476611706952624e-02L;
	    _points[ 2](0)=9.2595224699002635282891375438616e-02L;	_weights[ 2]=5.8953937956647082536161503261961e-02L;
	    _points[ 3](0)=1.6725101139155773149552247875936e-01L;	_weights[ 3]=6.9713468282144398251416629950427e-02L;
	    _points[ 4](0)=2.5862354070576251658979073282269e-01L;	_weights[ 4]=7.2849696515818223079384033843973e-02L;
	    _points[ 5](0)=3.6213139728223880040868129822732e-01L;	_weights[ 5]=6.8815529487565417217837889436694e-02L;
	    _points[ 6](0)=4.7258438600411772517509464267860e-01L;	_weights[ 6]=5.9120481314092327419290155953032e-02L;
	    _points[ 7](0)=5.8444396402134045550422084781091e-01L;	_weights[ 7]=4.5995780676052393313259784530213e-02L;
	    _points[ 8](0)=6.9210100171960165689704195168767e-01L;	_weights[ 8]=3.1936787162203148842381371158461e-02L;
	    _points[ 9](0)=7.9015702827343748555286333249938e-01L;	_weights[ 9]=1.9213957164719820645895497863743e-02L;
	    _points[10](0)=8.7369482130668941936771456713174e-01L;	_weights[10]=9.4489244795927503661800865492413e-03L;
	    _points[11](0)=9.3852445910073101239763338676530e-01L;	_weights[11]=3.3383592507737718066104206420419e-03L;
	    _points[12](0)=9.8138963498901214856028062215971e-01L;	_weights[12]=5.7805670493619285159651119259460e-04L;
	    
	    return;
	  }

	case TWENTYSIXTH:
	case TWENTYSEVENTH:
	  {
	    _points.resize (14);
	    _weights.resize(14);

	    _points[ 0](0)=6.4167607928184568108204640945072e-03L;	_weights[ 0]=1.6326754322596839819449429350767e-02L;
	    _points[ 1](0)=3.3501404532013140035963928570572e-02L;	_weights[ 1]=3.6296078055443693187652118821852e-02L;
	    _points[ 2](0)=8.0985499681955184392451307739982e-02L;	_weights[ 2]=5.2445953501916745591081806162678e-02L;
	    _points[ 3](0)=1.4680486768121372992366016526080e-01L;	_weights[ 3]=6.3213025574329203442529115357932e-02L;
	    _points[ 4](0)=2.2808427064925799153464409861994e-01L;	_weights[ 4]=6.7831659604182837102347339834146e-02L;
	    _points[ 5](0)=3.2127174398893617440234039741304e-01L;	_weights[ 5]=6.6392350626085425132821358651277e-02L;
	    _points[ 6](0)=4.2229465730757025784040898751810e-01L;	_weights[ 6]=5.9785559022531584222614059168587e-02L;
	    _points[ 7](0)=5.2673786133987303205372694481288e-01L;	_weights[ 7]=4.9519454523203004580936179335753e-02L;
	    _points[ 8](0)=6.3003668837040395788448059413143e-01L;	_weights[ 8]=3.7443096458985826655938301826886e-02L;
	    _points[ 9](0)=7.2767645288926468543602672799033e-01L;	_weights[ 9]=2.5423465407148762115069898757459e-02L;
	    _points[10](0)=8.1538973944347464197307421861206e-01L;	_weights[10]=1.5032303743928643503408714751315e-02L;
	    _points[11](0)=8.8934280881951553969087166094649e-01L;	_weights[11]=7.2964841332126214434099222674776e-03L;
	    _points[12](0)=9.4630270006027538353340594342472e-01L;	_weights[12]=2.5541013176876539479794996099427e-03L;
	    _points[13](0)=9.8377523409860023828122800914100e-01L;	_weights[13]=4.3971370874715925476225610392609e-04L;

	    return;
	  }

	case TWENTYEIGHTH:
	case TWENTYNINTH:
	  {
	    _points.resize (15);
	    _weights.resize(15);
	    
	    _points[ 0](0)=5.6406889725117097575064665794442e-03L;	_weights[ 0]=1.4367069621712523019113300206269e-02L;
	    _points[ 1](0)=2.9482298647942486631640984718004e-02L;	_weights[ 1]=3.2119044874965915878547666076448e-02L;
	    _points[ 2](0)=7.1412953115158840054783901746735e-02L;	_weights[ 2]=4.6891639944059925679345570546797e-02L;
	    _points[ 3](0)=1.2983102555359105597125453809429e-01L;	_weights[ 3]=5.7398825506941289374618916116414e-02L;
	    _points[ 4](0)=2.0249275505010404756821998832023e-01L;	_weights[ 4]=6.2918106648596909592665349230551e-02L;
	    _points[ 5](0)=2.8660608625752705998402604548440e-01L;	_weights[ 5]=6.3343955161511392519350738069297e-02L;
	    _points[ 6](0)=3.7893868864697803810652900914277e-01L;	_weights[ 6]=5.9174192059712931565021168664588e-02L;
	    _points[ 7](0)=4.7594230846323486057258899201585e-01L;	_weights[ 7]=5.1412362311886468530400169371359e-02L;
	    _points[ 8](0)=5.7388916090668588067145385523753e-01L;	_weights[ 8]=4.1400735184422578228813150524935e-02L;
	    _points[ 9](0)=6.6901519502995987653869563905314e-01L;	_weights[ 9]=3.0609769586468540804291808789747e-02L;
	    _points[10](0)=7.5766473903134271199707427774029e-01L;	_weights[10]=2.0416309272619835691190995270654e-02L;
	    _points[11](0)=8.3643096060561012397555908565418e-01L;	_weights[11]=1.1904190355097578843030186960250e-02L;
	    _points[12](0)=9.0228670067937802663123850466201e-01L;	_weights[12]=5.7172223947211761716246502974268e-03L;
	    _points[13](0)=9.5270040990583331433804420752426e-01L;	_weights[13]=1.9862346931450380410338051145760e-03L;
	    _points[14](0)=9.8573054526317422526590063305913e-01L;	_weights[14]=3.4034238413789606095252476068833e-04L;

	    return;
	  }


	case THIRTIETH:
	case THIRTYFIRST:
	  {
	    _points.resize (16);
	    _weights.resize(16);

	    _points[ 0](0)=4.9972996637719210426511496015207e-03L;	_weights[ 0]=1.2739310657334184747549845879578e-02L;
	    _points[ 1](0)=2.6143513681394051978549323380543e-02L;	_weights[ 1]=2.8612452590143149357558068987418e-02L;
	    _points[ 2](0)=6.3430945583836745492528222770701e-02L;	_weights[ 2]=4.2129431157428284757515740541878e-02L;
	    _points[ 3](0)=1.1559843757981594017892362824740e-01L;	_weights[ 3]=5.2228594403959147363509678893029e-02L;
	    _points[ 4](0)=1.8087055965788366624757339125570e-01L;	_weights[ 4]=5.8254240209855835379301779422393e-02L;
	    _points[ 5](0)=2.5702480784517085992294423955927e-01L;	_weights[ 5]=6.0000854888113507055385942002166e-02L;
	    _points[ 6](0)=3.4146792754782306862589929793869e-01L;	_weights[ 6]=5.7718879609267823617681995467969e-02L;
	    _points[ 7](0)=4.3132434359562537508359226958274e-01L;	_weights[ 7]=5.2064137843806583754973352189273e-02L;
	    _points[ 8](0)=5.2353411602516832051747016507566e-01L;	_weights[ 8]=4.3997382189243923173481417304490e-02L;
	    _points[ 9](0)=6.1495715187648951748964083381908e-01L;	_weights[ 9]=3.4647816579285799103084877873731e-02L;
	    _points[10](0)=7.0248013792504104445480697553762e-01L;	_weights[10]=2.5159233106470040585653957496918e-02L;
	    _points[11](0)=7.8312255396486808385218178256205e-01L;	_weights[11]=1.6539584355635793501225242083105e-02L;
	    _points[12](0)=8.5413814777521063366511368381932e-01L;	_weights[12]=9.5341678846659366549669638207733e-03L;
	    _points[13](0)=9.1310837653714127462958554670327e-01L;	_weights[13]=4.5392323861386350682211111786128e-03L;
	    _points[14](0)=9.5802441769047545454495934455429e-01L;	_weights[14]=1.5671884735958197030724006964051e-03L;
	    _points[15](0)=9.8735302062604161803115590316790e-01L;	_weights[15]=2.6749366505553617681762616226073e-04L;

	    return;
	  }


	case THIRTYSECOND:
	case THIRTYTHIRD:
	  {
	    _points.resize (17);
	    _weights.resize(17);
	
	    _points[ 0](0)=4.4579935677873917545062291115464e-03L;	_weights[ 0]=1.1372703113196894148880104403419e-02L;
	    _points[ 1](0)=2.3340094123774273967021528207683e-02L;	_weights[ 1]=2.5642427920205179185750205247311e-02L;
	    _points[ 2](0)=5.6707968769078239532713331556521e-02L;	_weights[ 2]=3.8025728825742400201474917006665e-02L;
	    _points[ 3](0)=1.0355543293519706341349122696131e-01L;	_weights[ 3]=4.7641869374618441920575209265709e-02L;
	    _points[ 4](0)=1.6246000342813654998162954391410e-01L;	_weights[ 4]=5.3907931667527480191616020246527e-02L;
	    _points[ 5](0)=2.3163212577717218294679722573836e-01L;	_weights[ 5]=5.6573611382471512986991034182850e-02L;
	    _points[ 6](0)=3.0897011775219590331752426128626e-01L;	_weights[ 6]=5.5734917923560549577129019490753e-02L;
	    _points[ 7](0)=3.9212413472209565803361946333190e-01L;	_weights[ 7]=5.1809741929296333255214704762820e-02L;
	    _points[ 8](0)=4.7856759685307958878371046285937e-01L;	_weights[ 8]=4.5477790399142277497438924164211e-02L;
	    _points[ 9](0)=5.6567396688663433190330697600965e-01L;	_weights[ 9]=3.7592325487112238031431998524319e-02L;
	    _points[10](0)=6.5079655845338226473148740732315e-01L;	_weights[10]=2.9074524087705050563187355467924e-02L;
	    _points[11](0)=7.3134895273405138213302149556298e-01L;	_weights[11]=2.0803278010295362060012866375773e-02L;
	    _points[12](0)=8.0488357852496649199917770139703e-01L;	_weights[12]=1.3513697452300780909638958310491e-02L;
	    _points[13](0)=8.6916605956741361920444649801116e-01L;	_weights[13]=7.7164222148059386958884227660543e-03L;
	    _points[14](0)=9.2224303459229840848710732823038e-01L;	_weights[14]=3.6472304834214064450344565237838e-03L;
	    _points[15](0)=9.6250119782335004125046077538851e-01L;	_weights[15]=1.2526834393912207489106525201067e-03L;
	    _points[16](0)=9.8871404063224375141712140225296e-01L;	_weights[16]=2.1311628920693358082515074128342e-04L;
	
	    return;
	  }

	case THIRTYFOURTH:
	case THIRTYFIFTH:
	  {
	    _points.resize (18);
	    _weights.resize(18);

	    _points[ 0](0)=4.0014793838673867970427199102708e-03L;	_weights[ 0]=1.0214339435040633872267566728543e-02L;
	    _points[ 1](0)=2.0963648393766477995135600986561e-02L;	_weights[ 1]=2.3106350163377066931289331193145e-02L;
	    _points[ 2](0)=5.0994041587890553966774921299853e-02L;	_weights[ 2]=3.4471118921922024965038695158493e-02L;
	    _points[ 3](0)=9.3280395928544950777609058826066e-02L;	_weights[ 3]=4.3573907074643088262181650935306e-02L;
	    _points[ 4](0)=1.4667010367761795715160882973461e-01L;	_weights[ 4]=4.9902226917702713891102223856106e-02L;
	    _points[ 5](0)=2.0970703958884296672188171145203e-01L;	_weights[ 5]=5.3192334631835660026223777017865e-02L;
	    _points[ 6](0)=2.8067179006017169910681926203455e-01L;	_weights[ 6]=5.3445287802814027020361560753181e-02L;
	    _points[ 7](0)=3.5762864997663462939832714298390e-01L;	_weights[ 7]=5.0916928856374093181562996165432e-02L;
	    _points[ 8](0)=4.3847844922413811765185426038741e-01L;	_weights[ 8]=4.6082400990241280762086995392822e-02L;
	    _points[ 9](0)=5.2101582087077614731981479158547e-01L;	_weights[ 9]=3.9579162288607878726422969126448e-02L;
	    _points[10](0)=6.0298936055983207213748070418747e-01L;	_weights[10]=3.2134806127628549240737903166505e-02L;
	    _points[11](0)=6.8216303911365156501882207998153e-01L;	_weights[11]=2.4487590001291716597869859208141e-02L;
	    _points[12](0)=7.5637719340615062679816733590978e-01L;	_weights[12]=1.7308300480899289815470186505791e-02L;
	    _points[13](0)=8.2360742977486956587394885462062e-01L;	_weights[13]=1.1131870097409362452892993478578e-02L;
	    _points[14](0)=8.8201982536207914673124120886230e-01L;	_weights[14]=6.3060388823805337332782426625400e-03L;
	    _points[15](0)=9.3002088969969321648195850472769e-01L;	_weights[15]=2.9624430644328375036535062298419e-03L;
	    _points[16](0)=9.6630075194563254241150674649068e-01L;	_weights[16]=1.0130251793010471252471709101709e-03L;
	    _points[17](0)=9.8986684820259713441676302277596e-01L;	_weights[17]=1.7186908409819589231237151109171e-04L;
	
	    return;
	  }

	case THIRTYSIXTH:
	case THIRTYSEVENTH:
	  {
	    _points.resize (19);
	    _weights.resize(19);

	    _points[ 0](0)=3.6116428185568930344532101262520e-03L;	_weights[ 0]=9.2240377250330766917668248692203e-03L;
	    _points[ 1](0)=1.8931837031588217250264524316949e-02L;	_weights[ 1]=2.0924651751979890481445228332988e-02L;
	    _points[ 2](0)=4.6097933048431083573924770835459e-02L;	_weights[ 2]=3.1376275285732898854356814457609e-02L;
	    _points[ 3](0)=8.4447222784209820599847900451170e-02L;	_weights[ 3]=3.9962370048991741940293076442317e-02L;
	    _points[ 4](0)=1.3303618855809877542408742397522e-01L;	_weights[ 4]=4.6234928168578411765380785132191e-02L;
	    _points[ 5](0)=1.9066859490476335108747466488719e-01L;	_weights[ 5]=4.9934138240419379553284105838773e-02L;
	    _points[ 6](0)=2.5592540348210296025204739729528e-01L;	_weights[ 6]=5.1004186626719396295755229568486e-02L;
	    _points[ 7](0)=3.2719980076381171572842996527566e-01L;	_weights[ 7]=4.9591046468706580141316052533532e-02L;
	    _points[ 8](0)=4.0273678616507709512304701110488e-01L;	_weights[ 8]=4.6021985716138412908362881060678e-02L;
	    _points[ 9](0)=4.8067639357855190263322135248271e-01L;	_weights[ 9]=4.0768870871836685572301729841664e-02L;
	    _points[10](0)=5.5909949264903198784692797587908e-01L;	_weights[10]=3.4398957951907391429559705435925e-02L;
	    _points[11](0)=6.3607504487927089469109105709816e-01L;	_weights[11]=2.7518058144347978141481142479516e-02L;
	    _points[12](0)=7.0970765165390239884374678311164e-01L;	_weights[12]=2.0711672562757804879837159838775e-02L;
	    _points[13](0)=7.7818422297676161420929964704208e-01L;	_weights[13]=1.4489847112109724657001233005036e-02L;
	    _points[14](0)=8.3981861570871107783863629442929e-01L;	_weights[14]=9.2410919293165977626976877702861e-03L;
	    _points[15](0)=8.9309313498184497075098115456491e-01L;	_weights[15]=5.1997813282783796868055465441831e-03L;
	    _points[16](0)=9.3669584807436508054390550208195e-01L;	_weights[16]=2.4300917120432807075681660438661e-03L;