 Reaction-diffusion prob. in cyl. coord.; pars: 1.00000 0.00010 1.00000 0.10000 
 Reaction-diffusion prob. in cyl. coord.; pars: 1.00000 0.00010 1.00000 0.10000 
 MoL, PDE+D&D int.face; DAE int.: DASSL;  ID:ACM-TOMS, Ex.I                     
 MoL, PDE+D&D int.face; DAE int.: DASSL;  ID:ACM-TOMS, Ex.I                     
 NPTS= 21; RTOL=.100E-02, ATOL=.100E-02                                         
 NPTS= 21; RTOL=.100E-02, ATOL=.100E-02                                         
 TAU=.000E+00, KAPPA=.200E+01, ALPHA=.100E-01                                   
 TAU=.000E+00, KAPPA=.200E+01, ALPHA=.100E-01                                   
-T=  0.00000E+00
 X(S,TN):
   0.00000000000000E+00   0.50000000000000E-01   0.10000000000000E+00   0.15000000000000E+00   0.20000000000000E+00
   0.25000000000000E+00   0.30000000000000E+00   0.35000000000000E+00   0.40000000000000E+00   0.45000000000000E+00
   0.50000000000000E+00   0.55000000000000E+00   0.60000000000000E+00   0.65000000000000E+00   0.70000000000000E+00
   0.75000000000000E+00   0.80000000000000E+00   0.85000000000000E+00   0.90000000000000E+00   0.95000000000000E+00
   0.10000000000000E+01
 U(X(S,TN),TN), COMP:           1
   0.00000000000000E+00   0.00000000000000E+00   0.00000000000000E+00   0.00000000000000E+00   0.00000000000000E+00
   0.00000000000000E+00   0.00000000000000E+00   0.00000000000000E+00   0.00000000000000E+00   0.00000000000000E+00
   0.00000000000000E+00   0.00000000000000E+00   0.00000000000000E+00   0.00000000000000E+00   0.00000000000000E+00
   0.00000000000000E+00   0.00000000000000E+00   0.00000000000000E+00   0.00000000000000E+00   0.00000000000000E+00
   0.00000000000000E+00
 Time=  0.20000E-03; H=  0.10000E-03; Order= 1
 Time=  0.40000E-03; H=  0.20000E-03; Order= 2
 Time=  0.80000E-03; H=  0.40000E-03; Order= 1
 Time=  0.16000E-02; H=  0.80000E-03; Order= 1
 Time=  0.32000E-02; H=  0.16000E-02; Order= 1
 Time=  0.48000E-02; H=  0.16000E-02; Order= 1
 Time=  0.64000E-02; H=  0.16000E-02; Order= 1
 Time=  0.96000E-02; H=  0.32000E-02; Order= 2
 Time=  0.12480E-01; H=  0.28800E-02; Order= 2
 Time=  0.15360E-01; H=  0.28800E-02; Order= 2
 Time=  0.18240E-01; H=  0.28800E-02; Order= 2
 Time=  0.21120E-01; H=  0.28800E-02; Order= 2
 Time=  0.24000E-01; H=  0.28800E-02; Order= 1
 Time=  0.26410E-01; H=  0.24103E-02; Order= 1
 Time=  0.28821E-01; H=  0.24103E-02; Order= 1
 Time=  0.31231E-01; H=  0.24103E-02; Order= 1
 Time=  0.33641E-01; H=  0.24103E-02; Order= 1
 Time=  0.35811E-01; H=  0.21693E-02; Order= 1
 Time=  0.37586E-01; H=  0.17756E-02; Order= 1
 Time=  0.39362E-01; H=  0.17756E-02; Order= 1
 Time=  0.41137E-01; H=  0.17756E-02; Order= 1
 Time=  0.44689E-01; H=  0.35512E-02; Order= 1
 Time=  0.48240E-01; H=  0.35512E-02; Order= 1
 Time=  0.51791E-01; H=  0.35512E-02; Order= 1
 Time=  0.55342E-01; H=  0.35512E-02; Order= 2
 Time=  0.58893E-01; H=  0.35512E-02; Order= 2
 Time=  0.65996E-01; H=  0.71024E-02; Order= 2
 Time=  0.73098E-01; H=  0.71024E-02; Order= 2
 Time=  0.80201E-01; H=  0.71024E-02; Order= 2
 Time=  0.87303E-01; H=  0.71024E-02; Order= 2
 Time=  0.91370E-01; H=  0.40668E-02; Order= 1
 Time=  0.95030E-01; H=  0.36601E-02; Order= 1
 Time=  0.98690E-01; H=  0.36601E-02; Order= 1
-T=  0.10000E+00
 X(S,TN):
   0.26569978186526E-15   0.14518649661513E+00   0.28623602123469E+00   0.41908467045117E+00   0.53995275170198E+00
   0.64574833594830E+00   0.73456190633192E+00   0.80600983391811E+00   0.86120440547957E+00   0.90233883670899E+00
   0.93209737312588E+00   0.95314561394441E+00   0.96780064287607E+00   0.97792465546109E+00   0.98491425436495E+00
   0.98976164885340E+00   0.99315745535877E+00   0.99558125349137E+00   0.99737374103710E+00   0.99878321153929E+00
   0.10000000000000E+01
 U(X(S,TN),TN), COMP:           1
   0.10541347733404E+00   0.10543381206844E+00   0.10542846256553E+00   0.10542697767663E+00   0.10541941198771E+00
   0.10539931718090E+00   0.10534688115405E+00   0.10522618020192E+00   0.10497845864621E+00   0.10451694855573E+00
   0.10372013650339E+00   0.10243261401262E+00   0.10051983330027E+00   0.97874971962037E-01   0.94308756591885E-01
   0.89498614786111E-01   0.82617401678904E-01   0.71961227619621E-01   0.55520929576943E-01   0.32050208429300E-01
   0.00000000000000E+00
 Statistics:
    FNS, JACS:          71          14
    STEPS, ETF, CTF:          34           1           0
 Time=  0.10601E+00; H=  0.73202E-02; Order= 1
 Time=  0.11333E+00; H=  0.73202E-02; Order= 1
 Time=  0.12065E+00; H=  0.73202E-02; Order= 1
 Time=  0.13529E+00; H=  0.14640E-01; Order= 2
 Time=  0.14993E+00; H=  0.14640E-01; Order= 2
 Time=  0.17921E+00; H=  0.29281E-01; Order= 2
-T=  0.20000E+00
 X(S,TN):
   0.69177575390698E-15   0.18674257527905E+00   0.36161578256579E+00   0.51532239793687E+00   0.64273328667716E+00
   0.74302855169946E+00   0.81863737328783E+00   0.87370807315784E+00   0.91278782504358E+00   0.94000319151095E+00
   0.95871188273477E+00   0.97147382333518E+00   0.98015647470368E+00   0.98607516978083E+00   0.99014056397530E+00
   0.99298512828895E+00   0.99504831274437E+00   0.99662399340270E+00   0.99789911108482E+00   0.99899464247059E+00
   0.10000000000000E+01
 U(X(S,TN),TN), COMP:           1
   0.22303634783574E+00   0.22309270049171E+00   0.22307400996898E+00   0.22305812918245E+00   0.22301896817589E+00
   0.22293448320763E+00   0.22275288881991E+00   0.22239740174245E+00   0.22175946862564E+00   0.22069655060372E+00
   0.21903564862950E+00   0.21658526040094E+00   0.21305500369649E+00   0.20760643673051E+00   0.19806939506563E+00
   0.18136098755737E+00   0.15639994897566E+00   0.12479186789636E+00   0.88216358481179E-01   0.47050444176010E-01
   0.00000000000000E+00
 Statistics:
    FNS, JACS:          80          15
    STEPS, ETF, CTF:          40           1           0
 Time=  0.20355E+00; H=  0.24341E-01; Order= 2
 Time=  0.22789E+00; H=  0.24341E-01; Order= 2
 Time=  0.25224E+00; H=  0.24341E-01; Order= 2
-T=  0.30000E+00
 X(S,TN):
   0.46632253314157E-15   0.20596969969435E+00   0.39457284781382E+00   0.55404265594216E+00   0.68026512610844E+00
   0.77520671508621E+00   0.84399826545881E+00   0.89254011145922E+00   0.92617297296958E+00   0.94919202323102E+00
   0.96482596208214E+00   0.97540703000418E+00   0.98257232268073E+00   0.98745435877658E+00   0.99084190133338E+00
   0.99328242600879E+00   0.99513361581115E+00   0.99661542435234E+00   0.99786363165004E+00   0.99896842430211E+00
   0.10000000000000E+01
 U(X(S,TN),TN), COMP:           1
   0.35555786766242E+00   0.35564093964508E+00   0.35561208655316E+00   0.35558140224845E+00   0.35551213775612E+00
   0.35537049921872E+00   0.35508473560745E+00   0.35455399288629E+00   0.35364029429328E+00   0.35216515120229E+00
   0.34989557950295E+00   0.34642007494534E+00   0.34044208687436E+00   0.32826234263456E+00   0.30487016924830E+00
   0.26953248152381E+00   0.22564371610885E+00   0.17619300304987E+00   0.12248063181259E+00   0.64326454133151E-01
   0.00000000000000E+00
 Statistics:
    FNS, JACS:          88          16
    STEPS, ETF, CTF:          43           1           0
 Time=  0.30092E+00; H=  0.48682E-01; Order= 2
 Time=  0.34473E+00; H=  0.43814E-01; Order= 2
 Time=  0.38855E+00; H=  0.43814E-01; Order= 2
-T=  0.40000E+00
 X(S,TN):
   0.46281721462141E-15   0.21713184866202E+00   0.41308600504198E+00   0.57485359105016E+00   0.69952441220077E+00
   0.79102415012652E+00   0.85599661304161E+00   0.90113635055003E+00   0.93205278768802E+00   0.95303836565265E+00
   0.96721452632789E+00   0.97677813493969E+00   0.98324973157463E+00   0.98768551719204E+00   0.99082215734138E+00
   0.99314925602819E+00   0.99496958091273E+00   0.99646612159685E+00   0.99775356555889E+00   0.99891043651452E+00
   0.10000000000000E+01
 U(X(S,TN),TN), COMP:           1
   0.50696328298581E+00   0.50710576070559E+00   0.50705802162512E+00   0.50699858470770E+00   0.50688696887219E+00
   0.50667908869634E+00   0.50628388765148E+00   0.50557640553806E+00   0.50439007256685E+00   0.50250324867238E+00
   0.49954365789116E+00   0.49438863254570E+00   0.48309789684354E+00   0.45826246973476E+00   0.41653833227896E+00
   0.36194667855715E+00   0.29941319886351E+00   0.23177421805058E+00   0.15995637152812E+00   0.83410618822241E-01
   0.00000000000000E+00
 Statistics:
    FNS, JACS:          92          16
    STEPS, ETF, CTF:          46           1           0
 Time=  0.43236E+00; H=  0.43814E-01; Order= 2
 Time=  0.47618E+00; H=  0.43814E-01; Order= 2
-T=  0.50000E+00
 X(S,TN):
   0.16738316760740E-15   0.22455570151472E+00   0.42509798491504E+00   0.58791544019501E+00   0.71119352814707E+00
   0.80028600448328E+00   0.86279211906218E+00   0.90583690366091E+00   0.93513094269821E+00   0.95492479919720E+00
   0.96825705777399E+00   0.97723837185539E+00   0.98332532199163E+00   0.98753788432352E+00   0.99057480727893E+00
   0.99288141985158E+00   0.99472607952187E+00   0.99627069709720E+00   0.99761837218063E+00   0.99884150789378E+00
   0.10000000000000E+01
 U(X(S,TN),TN), COMP:           1
   0.68251413958469E+00   0.68284543042226E+00   0.68274734726094E+00   0.68260888466380E+00   0.68240095425194E+00
   0.68207391840258E+00   0.68151647567272E+00   0.68057586242523E+00   0.67905410964294E+00   0.67666730570254E+00
   0.67273476392916E+00   0.66454379452960E+00   0.64400563224841E+00   0.60204315247263E+00   0.53992162753972E+00
   0.46476405736358E+00   0.38198374268912E+00   0.29423894836627E+00   0.20218813760165E+00   0.10496378495479E+00
   0.00000000000000E+00
 Statistics:
    FNS, JACS:          97          17
    STEPS, ETF, CTF:          48           1           0
 Time=  0.51999E+00; H=  0.43814E-01; Order= 3
 Time=  0.56380E+00; H=  0.43814E-01; Order= 3
-T=  0.60000E+00
 X(S,TN):
   0.51054694888290E-16   0.22981454292183E+00   0.43346075800211E+00   0.59680586069181E+00   0.71893789430575E+00
   0.80625649613325E+00   0.86701247209919E+00   0.90860600350356E+00   0.93680759870014E+00   0.95582402275563E+00
   0.96861775239863E+00   0.97723659311416E+00   0.98309916620197E+00   0.98720116607346E+00   0.99021261519167E+00
   0.99254419843552E+00   0.99444020202438E+00   0.99604947376747E+00   0.99746838182566E+00   0.99876586217870E+00
   0.10000000000000E+01
 U(X(S,TN),TN), COMP:           1
   0.88959582278977E+00   0.88998452217469E+00   0.88986601869617E+00   0.88967735490272E+00   0.88940106788815E+00
   0.88897475313326E+00   0.88826343510938E+00   0.88708296955016E+00   0.88518786511004E+00   0.88215805756027E+00
   0.87661163241828E+00   0.86287019919710E+00   0.82814799465324E+00   0.76513363154887E+00   0.68017890625188E+00
   0.58210214563557E+00   0.47649066624589E+00   0.36586552038841E+00   0.25066451617379E+00   0.12971624965044E+00
   0.00000000000000E+00
 Statistics:
    FNS, JACS:          99          17
    STEPS, ETF, CTF:          50           1           0
 Time=  0.60762E+00; H=  0.43814E-01; Order= 3
 Time=  0.65143E+00; H=  0.43814E-01; Order= 3
 Time=  0.69525E+00; H=  0.43814E-01; Order= 3
-T=  0.70000E+00
 X(S,TN):
  -0.15170209509068E-15   0.23377880977544E+00   0.43967142112977E+00   0.60327968250044E+00   0.72445379071417E+00
   0.81039996098507E+00   0.86983889685862E+00   0.91035540234073E+00   0.93774888764952E+00   0.95618713745572E+00
   0.96858157857135E+00   0.97693741068890E+00   0.98265499040270E+00   0.98671683530306E+00   0.98975012373930E+00
   0.99213710382757E+00   0.99410551950802E+00   0.99579525223065E+00   0.99729800955361E+00   0.99868051607598E+00
   0.10000000000000E+01
 U(X(S,TN),TN), COMP:           1
   0.11405330236700E+01   0.11409782484918E+01   0.11408393113747E+01   0.11405851448248E+01   0.11402174102418E+01
   0.11396580160185E+01   0.11387413767952E+01   0.11372402254422E+01   0.11348347103529E+01   0.11308395965398E+01
   0.11225164592960E+01   0.10998067250080E+01   0.10462554208243E+01   0.95834770225209E+00   0.84668772475606E+00
   0.72154621120318E+00   0.58880266063697E+00   0.45093466644654E+00   0.30819488639737E+00   0.15907665558429E+00
   0.00000000000000E+00
 Statistics:
    FNS, JACS:         102          17
    STEPS, ETF, CTF:          53           1           0
 Time=  0.73906E+00; H=  0.43814E-01; Order= 3
 Time=  0.78287E+00; H=  0.43814E-01; Order= 4
-T=  0.80000E+00
 X(S,TN):
  -0.20061059488423E-15   0.23687709003487E+00   0.44446676077697E+00   0.60819772849366E+00   0.72856766769789E+00
   0.81342564211954E+00   0.87184641719464E+00   0.91154140678770E+00   0.93832130458154E+00   0.95632422718999E+00
   0.96842073714187E+00   0.97659257915483E+00   0.98222147560633E+00   0.98625675222886E+00   0.98931268583964E+00
   0.99175061359905E+00   0.99378577895236E+00   0.99555071894653E+00   0.99713313760200E+00   0.99859758305815E+00
   0.10000000000000E+01
 U(X(S,TN),TN), COMP:           1
   0.14552317815482E+01   0.14557631889529E+01   0.14555945338308E+01   0.14552382313619E+01   0.14547275497454E+01
   0.14539655055099E+01   0.14527444506428E+01   0.14507731150745E+01   0.14475974918356E+01   0.14419961347184E+01
   0.14287188165028E+01   0.13914173767427E+01   0.13110761833563E+01   0.11906694024359E+01   0.10452957271217E+01
   0.88673746143770E+00   0.72111207935928E+00   0.55071352487053E+00   0.37543245439637E+00   0.19327551072816E+00
   0.00000000000000E+00
 Statistics:
    FNS, JACS:         107          17
    STEPS, ETF, CTF:          55           1           0
 Time=  0.82669E+00; H=  0.43814E-01; Order= 4
 Time=  0.87050E+00; H=  0.43814E-01; Order= 3
-T=  0.90000E+00
 X(S,TN):
  -0.42328380773899E-15   0.23938017389375E+00   0.44826136731950E+00   0.61195631702248E+00   0.73154368561500E+00
   0.81542089781447E+00   0.87295231785864E+00   0.91194185284113E+00   0.93820016220099E+00   0.95583803136512E+00
   0.96769566148801E+00   0.97572666762461E+00   0.98132158107932E+00   0.98543302164698E+00   0.98860202831148E+00
   0.99116226468383E+00   0.99332052295626E+00   0.99520622511694E+00   0.99690608214816E+00   0.99848496535207E+00
   0.10000000000000E+01
 U(X(S,TN),TN), COMP:           1
   0.18699023312492E+01   0.18704459301630E+01   0.18702757833890E+01   0.18698005199087E+01   0.18690917262431E+01
   0.18680255344780E+01   0.18663304845069E+01   0.18636107379216E+01   0.18591645870091E+01   0.18507241053953E+01
   0.18289459022784E+01   0.17702551513388E+01   0.16556987213454E+01   0.14935062372977E+01   0.13037548947340E+01
   0.11009403403308E+01   0.89188367561518E+00   0.67888103294914E+00   0.46147120387392E+00   0.23696669309242E+00
   0.00000000000000E+00
 Statistics:
    FNS, JACS:         115          18
    STEPS, ETF, CTF:          57           1           0
 Time=  0.91432E+00; H=  0.43814E-01; Order= 3
 Time=  0.95813E+00; H=  0.43814E-01; Order= 3
 Time=  0.99640E+00; H=  0.38272E-01; Order= 3
-T=  0.10000E+01
 X(S,TN):
  -0.40790310203331E-15   0.24147576073603E+00   0.45139545422941E+00   0.61499344473841E+00   0.73386556968636E+00
   0.81687797396817E+00   0.87363429203453E+00   0.91201566095260E+00   0.93783347946556E+00   0.95517191452820E+00
   0.96684291555476E+00   0.97478946924273E+00   0.98037756338888E+00   0.98451927243865E+00   0.98776307119154E+00
   0.99043255980441E+00   0.99272111277112E+00   0.99474950849328E+00   0.99659902494732E+00   0.99833090189578E+00
   0.10000000000000E+01
 U(X(S,TN),TN), COMP:           1
   0.24594756892435E+01   0.24600625599653E+01   0.24598598247801E+01   0.24591672911902E+01   0.24580974873204E+01
   0.24564795340066E+01   0.24539245236915E+01   0.24498343030307E+01   0.24429887200468E+01   0.24290664382356E+01
   0.23920304692509E+01   0.22989563427456E+01   0.21327498780109E+01   0.19119143805950E+01   0.16620833904190E+01
   0.13994791414353E+01   0.11314025110354E+01   0.85985697263285E+00   0.58371206000641E+00   0.29934545825893E+00
   0.00000000000000E+00
 Statistics:
    FNS, JACS:         123          18
    STEPS, ETF, CTF:          60           1           0
