Krylov example problem: Kinetics-transport, NEQ = 200 t = 0.720000E+04 no. steps = 190 order = 5 stepsize = 0.160965E+03 c1 (bot.left/middle/top rt.) = 0.104683E+05 0.296373E+05 0.111853E+05 c2 (bot.left/middle/top rt.) = 0.252672E+12 0.715377E+12 0.269977E+12 t = 0.144000E+05 no. steps = 221 order = 5 stepsize = 0.382687E+03 c1 (bot.left/middle/top rt.) = 0.665902E+07 0.531602E+07 0.730081E+07 c2 (bot.left/middle/top rt.) = 0.258192E+12 0.205680E+12 0.283286E+12 t = 0.216000E+05 no. steps = 246 order = 5 stepsize = 0.278111E+03 c1 (bot.left/middle/top rt.) = 0.266497E+08 0.103640E+08 0.293077E+08 c2 (bot.left/middle/top rt.) = 0.299279E+12 0.102815E+12 0.331344E+12 t = 0.288000E+05 no. steps = 291 order = 4 stepsize = 0.113513E+03 c1 (bot.left/middle/top rt.) = 0.870208E+07 0.129196E+08 0.965001E+07 c2 (bot.left/middle/top rt.) = 0.338035E+12 0.502927E+12 0.375095E+12 t = 0.360000E+05 no. steps = 331 order = 4 stepsize = 0.885814E+02 c1 (bot.left/middle/top rt.) = 0.140403E+05 0.202899E+05 0.156090E+05 c2 (bot.left/middle/top rt.) = 0.338677E+12 0.489432E+12 0.376516E+12 t = 0.432000E+05 no. steps = 402 order = 4 stepsize = 0.415260E+03 c1 (bot.left/middle/top rt.) = -0.576856E-08 0.342117E-08 -0.386627E-08 c2 (bot.left/middle/top rt.) = 0.338232E+12 0.135500E+12 0.380352E+12 t = 0.504000E+05 no. steps = 415 order = 5 stepsize = 0.457901E+03 c1 (bot.left/middle/top rt.) = -0.497941E-17 -0.719339E-14 -0.265325E-14 c2 (bot.left/middle/top rt.) = 0.335816E+12 0.493026E+12 0.386444E+12 t = 0.576000E+05 no. steps = 430 order = 4 stepsize = 0.219223E+03 c1 (bot.left/middle/top rt.) = 0.161106E-16 0.458698E-15 -0.470389E-17 c2 (bot.left/middle/top rt.) = 0.332031E+12 0.964973E+12 0.390899E+12 t = 0.648000E+05 no. steps = 444 order = 4 stepsize = 0.579451E+03 c1 (bot.left/middle/top rt.) = 0.950457E-15 0.115369E-13 -0.231605E-15 c2 (bot.left/middle/top rt.) = 0.331302E+12 0.892177E+12 0.396342E+12 t = 0.720000E+05 no. steps = 457 order = 4 stepsize = 0.579451E+03 c1 (bot.left/middle/top rt.) = 0.390973E-15 -0.484816E-13 0.254545E-14 c2 (bot.left/middle/top rt.) = 0.332972E+12 0.618613E+12 0.403884E+12 t = 0.792000E+05 no. steps = 469 order = 4 stepsize = 0.579451E+03 c1 (bot.left/middle/top rt.) = -0.290314E-14 0.215229E-12 0.355073E-15 c2 (bot.left/middle/top rt.) = 0.333440E+12 0.666885E+12 0.412026E+12 t = 0.864000E+05 no. steps = 481 order = 4 stepsize = 0.579451E+03 c1 (bot.left/middle/top rt.) = 0.235825E-22 0.231595E-17 -0.600745E-15 c2 (bot.left/middle/top rt.) = 0.335178E+12 0.910810E+12 0.416250E+12 Final statistics: number of steps = 481 number of f evals. = 620 number of prec. setups = 88 number of prec. evals. = 9 number of prec. solves = 1096 number of nonl. iters. = 616 number of lin. iters. = 561 average Krylov subspace dimension (NLI/NNI) = 0.910714E+00 number of conv. failures.. nonlinear = 0 linear = 0 number of error test failures = 28 main solver real/int workspace sizes = 2089 50 linear solver real/int workspace sizes = 2046 10 In CVBANDPRE: real/int workspace sizes = 2400 200 number of f evaluations = 45