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* FILENAME: KOPC20P.TXT *
* *
* RKN 11(12)-20 OPT: *
* 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) *
* *
* KOPC20P.TXT: *
* EINE ABFRAGE VERHINDERTE BEI DER *
* OPTIMIERUNG NEGATIVE GEWICHTSKO- *
* EFFIZIENTEN. *
* *
* 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)= .8015624999999999999999999974D-01
ALPHA(12)= .2943749999999999999999999981D+00
ALPHA(13)= .1295312499999999999999999991D+00
ALPHA(14)= .4735937499999999999999999989D+00
ALPHA(15)= .5828124999999999999999999964D+00
ALPHA(16)= .7271874999999999999999999954D+00
ALPHA(17)= .7698437499999999999999999929D+00
ALPHA(18)= .9148977819391580085721647998D+00
ALPHA(19)= .1000000000000000000000000000D+01
ALPHA(20)= .1000000000000000000000000000D+01
C'( 0)= .2242929404397600530131470701D-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)= .1900303404131709886214564320D+00
C'(11)= .1308259238734620016022237099D+00
C'(12)= .1903103706904367636603518091D-01
C'(13)= .4536441087947228435282166600D-03
C'(14)= .2082960450051360233092459511D+00
C'(15)= .5819210373332354680001930773D-01
C'(16)= .1664102268922875908112086647D+00
C'(17)= .4287072842584152852324451740D-01
C'(18)= .1374085143361514078379615741D+00
C'(19)= .2405214209881250798376173855D-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)= .1315981034561655557920249494D-02
GAMMA(11, 1)= 0.
GAMMA(11, 2)= 0.
GAMMA(11, 3)= 0.
GAMMA(11, 4)= 0.
GAMMA(11, 5)= -.8782527297984828178544800505D-06
GAMMA(11, 6)= -.1379773004506861094363558123D-02
GAMMA(11, 7)= .2445615867912388681251959553D-02
GAMMA(11, 8)= .1156657207478131509996721934D-02
GAMMA(11, 9)= .1754639209365541673290930900D-05
GAMMA(11,10)= -.3268452848936317136608093302D-03
GAMMA(12, 0)= .4757648391153826839907752946D-02
GAMMA(12, 1)= 0.
GAMMA(12, 2)= 0.
GAMMA(12, 3)= 0.
GAMMA(12, 4)= 0.
GAMMA(12, 5)= 0.
GAMMA(12, 6)= .1549791354107748594550575393D-01
GAMMA(12, 7)= .2578358836615907329049723352D-01
GAMMA(12, 8)= .7723584402647932338238513404D-03
GAMMA(12, 9)= -.5453046730326065812618845430D-07
GAMMA(12,10)= .3225703225768342511932988988D-02
GAMMA(12,11)= -.6708837121456218561009455083D-02
GAMMA(13, 0)= .2062453723473214735559719306D-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)= .8391108840414372379428007718D-02
GAMMA(13, 8)= .1082586893526879718172321785D-02
GAMMA(13, 9)= -.9552204475152784971565217179D-07
GAMMA(13,10)= -.8100311594783424692710533987D-03
GAMMA(13,11)= -.2552456978531004853224335309D-02
GAMMA(13,12)= .2156065659208820171850554315D-03
GAMMA(14, 0)= .4612793314617264068992923362D-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)= .3671972962570833488917211322D+00
GAMMA(14, 9)= .4624739571820681985355479553D-04
GAMMA(14,10)= -.3442546230850344075615885905D+00
GAMMA(14,11)= .1304094665996243603039865640D+00
GAMMA(14,12)= .1564155198841677601881860482D+00
GAMMA(14,13)= -.2022811803466452827111516326D+00
GAMMA(15, 0)= .4764722488136250883238518887D-01
GAMMA(15, 1)= 0.
GAMMA(15, 2)= 0.
GAMMA(15, 3)= 0.
GAMMA(15, 4)= 0.
GAMMA(15, 5)= .2469440106146505625377840436D-04
GAMMA(15, 6)= -.1042862143549249441082095027D+00
GAMMA(15, 7)= -.2981571590755317696349688954D+00
GAMMA(15, 8)= -.4329399367490009012615423678D+00
GAMMA(15, 9)= -.1878322210652231000279915795D-03
GAMMA(15,10)= .5314840674401284108321048956D+00
GAMMA(15,11)= .3397410273320287108334763297D+00
GAMMA(15,12)= -.1598998723085592532962583681D+00
GAMMA(15,13)= .2238129751121937855575210677D+00
GAMMA(15,14)= .2259623062043221028926586297D-01
GAMMA(16, 0)= .1902451058984853527346206363D-01
GAMMA(16, 1)= 0.
GAMMA(16, 2)= 0.
GAMMA(16, 3)= 0.
GAMMA(16, 4)= 0.
GAMMA(16, 5)= -.4882846979701356315661132055D-07
GAMMA(16, 6)= .9958369503541465773976755947D-02
GAMMA(16, 7)= .2277751445458477254054119562D-01
GAMMA(16, 8)= 0.
GAMMA(16, 9)= .2996011280298835998018263725D-02
GAMMA(16,10)= -.3658645910207106377190192858D-01
GAMMA(16,11)= .1322941269080730874394828249D-01
GAMMA(16,12)= .1130307620345566171348268026D+00
GAMMA(16,13)= .7159961376794738694817346241D-01
GAMMA(16,14)= .3153763895783865533949080181D-01
GAMMA(16,15)= .1683350472924228303302745352D-01
GAMMA(17, 0)= .1029170267943476427286491449D-01
GAMMA(17, 1)= 0.
GAMMA(17, 2)= 0.
GAMMA(17, 3)= 0.
GAMMA(17, 4)= 0.
GAMMA(17, 5)= -.3578990654680073931152431606D-04
GAMMA(17, 6)= .1201493680572643049749038619D+00
GAMMA(17, 7)= .3737402617729644461656779293D+00
GAMMA(17, 8)= -.1395209500373147796992155667D+01
GAMMA(17, 9)= -.4824305334489776287397577572D-02
GAMMA(17,10)= .1378982579792852870857948043D+01
GAMMA(17,11)= -.7213193572545734105413799248D+00
GAMMA(17,12)= -.4435071523221466577698068378D+00
GAMMA(17,13)= .8886457915442507835748030669D+00
GAMMA(17,14)= .5526124056477397137931770684D-01
GAMMA(17,15)= .2686835085031771552727496965D-01
GAMMA(17,16)= .7286509636076835577261033251D-02
GAMMA(18, 0)= .1526550484230059201602058577D-01
GAMMA(18, 1)= 0.
GAMMA(18, 2)= 0.
GAMMA(18, 3)= 0.
GAMMA(18, 4)= 0.
GAMMA(18, 5)= .3324351624050014581690792469D-05
GAMMA(18, 6)= -.1633568188026327026286314180D-01
GAMMA(18, 7)= -.4739891788157655468203173752D-01
GAMMA(18, 8)= .5726143210435682891937291916D-01
GAMMA(18, 9)= -.2118780632671606033608191069D-02
GAMMA(18,10)= .1527606615230892001844132357D+00
GAMMA(18,11)= .2473451593183186070325554611D+00
GAMMA(18,12)= .2433033586985477852062515545D-02
GAMMA(18,13)= -.1308274895314965385646731789D+00
GAMMA(18,14)= .4539155318997185313360896864D-01
GAMMA(18,15)= .7975518417920696991874667819D-01
GAMMA(18,16)= -.3631391480459251475363844572D-01
GAMMA(18,17)= .5129790733334246421751407628D-01
GAMMA(19, 0)= .3754662379446297418280769111D-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)= .4929894742182617608855792266D+00
GAMMA(19,11)= .4526697482923057917557427810D-01
GAMMA(19,12)= -.4593369440456942747900428666D+00
GAMMA(19,13)= .4759722032869840752638237447D-01
GAMMA(19,14)= .4654889251258994259593464956D+00
GAMMA(19,15)= -.3321755294689402941095099898D+00
GAMMA(19,16)= .3952785978121922231177107745D+00
GAMMA(19,17)= -.2123660239786777322823065681D+00
GAMMA(19,18)= .1971068138456693033445858405D-01
GAMMA(20, 0)= .2285890998625555379695120949D-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)= .1203126822802527505218717499D+00
GAMMA(20,11)= .1155833456919026151325826139D+00
GAMMA(20,12)= .3502768234280783458331654724D-01
GAMMA(20,13)= .9350324233933777658031475452D-02
GAMMA(20,14)= .1001712618244591513505119362D+00
GAMMA(20,15)= .3318719494747818080400948715D-01
GAMMA(20,16)= .3540771699207406021731391914D-01
GAMMA(20,17)= .1686603296267794771166345990D-01
GAMMA(20,18)= .1114152181526187933663041330D-01
GAMMA(20,19)= .9332692289624888711718839168D-04
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