RKN 11(12) - 20
 
 *  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
© 13. 01. 2002  by Josef Gräf,   RKN 11(12) -20