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* FILENAME: K20.TXT * * * * RKN 11(12)-20: * * RUNGE-KUTTA-NYSTROEM-FEHLBERG-FORMEL 11-TER * * ORDNUNG, KONTROLLFORMEL ZUR SCHRITTWEITEN- * * KONTROLLE 12-TER ORDNUNG, INSGES. 20 FKT.- * * AUSWERTUNGEN PRO INTEGRATIONSSCHRITT FUER * * DIE DGL Y'' = F(X,Y) * * K20.TXT: NICHT OPTIMIERTE KOEFFIZIENTEN * * * * DATUM: 11. APRIL 1983 * * AUTOR: JOSEF GRAEF * ALPHA( 1)= .1041666666666666666666666667D+00 ALPHA( 2)= .2083333333333333333333333333D+00 ALPHA( 3)= .5500000000000000000000000000D+00 ALPHA( 4)= .5000000000000000000000000000D+00 ALPHA( 5)= .7556188816150179549777576320D+00 ALPHA( 6)= .1500000000000000000000000000D+00 ALPHA( 7)= .5832390688876070299554460664D-01 ALPHA( 8)= .2000000000000000000000000000D+00 ALPHA( 9)= .6872598700965161331199471409D+00 ALPHA(10)= .2500000000000000000000000000D+00 ALPHA(11)= .7500000000000000000000000000D-01 ALPHA(12)= .3100000000000000000000000000D+00 ALPHA(13)= .1600000000000000000000000000D+00 ALPHA(14)= .4600000000000000000000000000D+00 ALPHA(15)= .6100000000000000000000000000D+00 ALPHA(16)= .7600000000000000000000000000D+00 ALPHA(17)= .8500000000000000000000000000D+00 ALPHA(18)= .9200000000000000000000012761D+00 ALPHA(19)= .1000000000000000000000000000D+01 ALPHA(20)= .1000000000000000000000000000D+01 C'( 0)= .2147820901127829614676264646D-01 C'( 1)= 0. C'( 2)= 0. C'( 3)= 0. C'( 4)= 0. C'( 5)= 0. C'( 6)= 0. C'( 7)= 0. C'( 8)= 0. C'( 9)= 0. C'(10)= .1639110625076501029623128826D+00 C'(11)= .1177981233399404688143633333D+00 C'(12)= .2804873935493439037262171756D-01 C'(13)= .2906195615716010883438936279D-01 C'(14)= .1902857565710350238475328245D+00 C'(15)= .1221149275129523396892898086D+00 C'(16)= .1755497879515386479192666401D+00 C'(17)= .3293567770604707380921199778D-03 C'(18)= .1287384223535162591549020064D+00 C'(19)= .2268365846293389152046665775D-01 GAMMA( 1, 0)= .5425347222222222222222222225D-02 GAMMA( 2, 0)= .7233796296296296296296296301D-02 GAMMA( 2, 1)= .1446759259259259259259259258D-01 GAMMA( 3, 0)= .1033340000000000000000000000D+00 GAMMA( 3, 1)= -.1703680000000000000000000001D+00 GAMMA( 3, 2)= .2182840000000000000000000001D+00 GAMMA( 4, 0)= .3257575757575757575757575757D-01 GAMMA( 4, 1)= 0. GAMMA( 4, 2)= .8780487804878048780487804878D-01 GAMMA( 4, 3)= .4619364375461936437546193648D-02 GAMMA( 5, 0)= .4748507367563208000018089973D-01 GAMMA( 5, 1)= 0. GAMMA( 5, 2)= .1717457745568296060188724074D+00 GAMMA( 5, 3)= .5999520621410557300028385132D-01 GAMMA( 5, 4)= .6253892679998000604987985799D-02 GAMMA( 6, 0)= .6897742477766473591191027092D-02 GAMMA( 6, 1)= 0. GAMMA( 6, 2)= .6890192907847598728171600460D-02 GAMMA( 6, 3)= .1163520086778733422170956371D-01 GAMMA( 6, 4)= -.1344647159854360748127587603D-01 GAMMA( 6, 5)= -.7266646548577990597963152304D-03 GAMMA( 7, 0)= .1349737761438706440043676626D-02 GAMMA( 7, 1)= 0. GAMMA( 7, 2)= 0. GAMMA( 7, 3)= .6075294762105980384386224708D-03 GAMMA( 7, 4)= -.6793734869158527204348147999D-03 GAMMA( 7, 5)= -.4099894989642249543680965575D-04 GAMMA( 7, 6)= .4639442565473848303431810095D-03 GAMMA( 8, 0)= .3523183546767263585786907763D-02 GAMMA( 8, 1)= 0. GAMMA( 8, 2)= 0. GAMMA( 8, 3)= 0. GAMMA( 8, 4)= -.2584392204058368115482471755D-05 GAMMA( 8, 5)= .2758330832880140022000070680D-06 GAMMA( 8, 6)= .4071837479676998987495697937D-02 GAMMA( 8, 7)= .1240728753267650778083067676D-01 GAMMA( 9, 0)= -.1340488944178098066953190204D-01 GAMMA( 9, 1)= 0. GAMMA( 9, 2)= 0. GAMMA( 9, 3)= 0. GAMMA( 9, 4)= .4748167290240606363971037112D-01 GAMMA( 9, 5)= .6978075811258520497345866824D-03 GAMMA( 9, 6)= -.2104272720250956294017709271D+00 GAMMA( 9, 7)= .1479810168188958303177052879D+00 GAMMA( 9, 8)= .2638347286869889791697278318D+00 GAMMA(10, 0)= .4338886679167641664845535142D-02 GAMMA(10, 1)= 0. GAMMA(10, 2)= 0. GAMMA(10, 3)= 0. GAMMA(10, 4)= 0. GAMMA(10, 5)= -.1244276150937331764200609062D-05 GAMMA(10, 6)= .7318827258766195401581730488D-02 GAMMA(10, 7)= .1702903672564807515932491560D-01 GAMMA(10, 8)= .2562063489400243489046551726D-02 GAMMA(10, 9)= .2430123168781616965467654675D-05 GAMMA(11, 0)= .1213181442859181818082415173D-02 GAMMA(11, 1)= 0. GAMMA(11, 2)= 0. GAMMA(11, 3)= 0. GAMMA(11, 4)= 0. GAMMA(11, 5)= -.8052083719028318452003960397D-06 GAMMA(11, 6)= -.1270548819575905357299570659D-02 GAMMA(11, 7)= .2106288690010669033987958908D-02 GAMMA(11, 8)= .1062863271197933834077206495D-02 GAMMA(11, 9)= .1608786873238876934044295570D-05 GAMMA(11,10)= -.3000881629932153739368538180D-03 GAMMA(12, 0)= .4791457562121135376714969290D-02 GAMMA(12, 1)= 0. GAMMA(12, 2)= 0. GAMMA(12, 3)= 0. GAMMA(12, 4)= 0. GAMMA(12, 5)= 0. GAMMA(12, 6)= .1997283495783110806313165151D-01 GAMMA(12, 7)= .3263466633670545485582605094D-01 GAMMA(12, 8)= -.1997857874597377833235256280D-02 GAMMA(12, 9)= .5702678234802111502863498282D-07 GAMMA(12,10)= .5809882374787801958204563035D-02 GAMMA(12,11)= -.1316104038363047044175700713D-01 GAMMA(13, 0)= .2680759937173601150132530305D-02 GAMMA(13, 1)= 0. GAMMA(13, 2)= 0. GAMMA(13, 3)= 0. GAMMA(13, 4)= 0. GAMMA(13, 5)= 0. GAMMA(13, 6)= 0. GAMMA(13, 7)= .9931732719629747807246879088D-02 GAMMA(13, 8)= .1935996027139212373939522857D-02 GAMMA(13, 9)= -.1715138004351496028992556713D-06 GAMMA(13,10)= -.1146222506237529255095036749D-02 GAMMA(13,11)= -.8065227820301908673948257037D-03 GAMMA(13,12)= .2044281181255939407738294573D-03 GAMMA(14, 0)= .7450337675216960918357469139D-02 GAMMA(14, 1)= 0. GAMMA(14, 2)= 0. GAMMA(14, 3)= 0. GAMMA(14, 4)= 0. GAMMA(14, 5)= 0. GAMMA(14, 6)= 0. GAMMA(14, 7)= 0. GAMMA(14, 8)= .2826065109541195073618795087D+00 GAMMA(14, 9)= .2441581049489756027618007528D-04 GAMMA(14,10)= -.1686732143404799746723882008D+00 GAMMA(14,11)= .6570612744839619885192244320D-01 GAMMA(14,12)= .6623464602149089266097689541D-01 GAMMA(14,13)= -.1475488235692384826810242958D+00 GAMMA(15, 0)= .3509222722230964288525276387D-01 GAMMA(15, 1)= 0. GAMMA(15, 2)= 0. GAMMA(15, 3)= 0. GAMMA(15, 4)= 0. GAMMA(15, 5)= .1838947430224798509482261328D-04 GAMMA(15, 6)= -.8175298816697407045626030708D-01 GAMMA(15, 7)= -.2421643610089377664864385391D+00 GAMMA(15, 8)= -.5664019757562306013172434991D+00 GAMMA(15, 9)= .1771874628203468525014600127D-03 GAMMA(15,10)= .5014423068259850996056210242D+00 GAMMA(15,11)= .3064012127817816729679168466D+00 GAMMA(15,12)= -.1276823788051560205864585339D+00 GAMMA(15,13)= .3247356420074775307952922239D+00 GAMMA(15,14)= .3618473796262191775472173802D-01 GAMMA(16, 0)= .1424997987538662936856380379D-02 GAMMA(16, 1)= 0. GAMMA(16, 2)= 0. GAMMA(16, 3)= 0. GAMMA(16, 4)= 0. GAMMA(16, 5)= -.1702826215079596625334655900D-04 GAMMA(16, 6)= .7380344520119479801877385713D-01 GAMMA(16, 7)= .2242802589974297123749555342D+00 GAMMA(16, 8)= 0. GAMMA(16, 9)= .6886064175777859968642845433D-02 GAMMA(16,10)= .1949958766431660483377549679D-01 GAMMA(16,11)= -.1884013399697137820365353780D+00 GAMMA(16,12)= .4419137084831260467574116494D-01 GAMMA(16,13)= .3818089550488958391368765979D-01 GAMMA(16,14)= .5548020401907779252418285064D-01 GAMMA(16,15)= .1347154383332695875617293519D-01 GAMMA(17, 0)= .3109485239098494273513625450D-01 GAMMA(17, 1)= 0. GAMMA(17, 2)= 0. GAMMA(17, 3)= 0. GAMMA(17, 4)= 0. GAMMA(17, 5)= -.4593156369223773119051692264D-04 GAMMA(17, 6)= .1216757909683287036676281540D+00 GAMMA(17, 7)= .4415347466907301164835429459D+00 GAMMA(17, 8)= -.8175066254337973834117229592D+00 GAMMA(17, 9)= -.1105937580434339623330850743D+00 GAMMA(17,10)= -.6993517935619971070857051264D+00 GAMMA(17,11)= -.7109440534947157331118419857D+00 GAMMA(17,12)= .9046040009912160496690560557D+00 GAMMA(17,13)= .1167087382162618864114174391D+01 GAMMA(17,14)= -.2208250617018881371815421672D+00 GAMMA(17,15)= .2197668861551819694073021920D+00 GAMMA(17,16)= .3475356444046391477824783619D-01 GAMMA(18, 0)= .1980871288612999895697641722D-01 GAMMA(18, 1)= 0. GAMMA(18, 2)= 0. GAMMA(18, 3)= 0. GAMMA(18, 4)= 0. GAMMA(18, 5)= .8215177736719382423031156570D-05 GAMMA(18, 6)= -.3591138465638208710224814228D-01 GAMMA(18, 7)= -.1102176949862629516954052482D+00 GAMMA(18, 8)= .1174009534262675892260977919D+00 GAMMA(18, 9)= -.9315711242536572430298479335D-02 GAMMA(18,10)= .2059214179779386484105583443D+00 GAMMA(18,11)= .2751729989969760041839703778D+00 GAMMA(18,12)= -.7252234352249861849631508218D-01 GAMMA(18,13)= -.1434854210237120617066495151D+00 GAMMA(18,14)= .9817452069416899555388063316D-01 GAMMA(18,15)= .4788142501027539102933573843D-01 GAMMA(18,16)= .2528961144767536430942173711D-01 GAMMA(18,17)= .4994699814223580378253569976D-02 GAMMA(19, 0)= .5433685416605002611128713384D-01 GAMMA(19, 1)= 0. GAMMA(19, 2)= 0. GAMMA(19, 3)= 0. GAMMA(19, 4)= 0. GAMMA(19, 5)= 0. GAMMA(19, 6)= 0. GAMMA(19, 7)= 0. GAMMA(19, 8)= 0. GAMMA(19, 9)= 0. GAMMA(19,10)= -.7028196177287693599155993281D+00 GAMMA(19,11)= -.7574471441516858729426845068D-01 GAMMA(19,12)= .5970091564181668639770945761D+00 GAMMA(19,13)= .5077998923905797158831410566D+00 GAMMA(19,14)= .7803513721630428611707284145D-02 GAMMA(19,15)= .4910953868318853268158721640D-01 GAMMA(19,16)= .6805137650188406090883857916D-01 GAMMA(19,17)= -.2240631594717180596069817908D-01 GAMMA(19,18)= .1686031620961012499691011166D-01 GAMMA(20, 0)= .2162496580462148648465375811D-01 GAMMA(20, 1)= 0. GAMMA(20, 2)= 0. GAMMA(20, 3)= 0. GAMMA(20, 4)= 0. GAMMA(20, 5)= 0. GAMMA(20, 6)= 0. GAMMA(20, 7)= 0. GAMMA(20, 8)= 0. GAMMA(20, 9)= 0. GAMMA(20,10)= .1146455196485693981118106667D+00 GAMMA(20,11)= .1079474883241069775546326492D+00 GAMMA(20,12)= .2689620095914987721580753858D-01 GAMMA(20,13)= .2788652071946772011310243241D-01 GAMMA(20,14)= .9963462823471806922021940733D-01 GAMMA(20,15)= .4982293074498374663642074395D-01 GAMMA(20,16)= .4009037653486573601359440580D-01 GAMMA(20,17)= .1796700744724135163951682987D-02 GAMMA(20,18)= .9561341361896604598689526565D-02 GAMMA(20,19)= .9332692289624888711718839168D-04 |
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