Demonstration program for DLSODA package Problem 1: Van der Pol oscillator: xdotdot - 20*(1 - x**2)*xdot + x = 0, x(0) = 2, xdot(0) = 0 neq = 2 itol = 1 rtol = 0.0D+00 atol = 0.1D-07 Solution with jt = 1 t x xdot meth nq h tsw 0.84609D+01 0.16731D+01 -0.464D-01 2 4 0.209D+00 0.311D+00 0.16922D+02 -0.11574D-03 -0.141D+02 1 7 0.206D-02 0.158D+02 0.25592D+02 -0.16828D+01 0.459D-01 2 4 0.240D+00 0.174D+02 0.34263D+02 0.21448D-03 0.141D+02 1 8 0.293D-02 0.332D+02 Final statistics for this run: rwork size = 52 iwork size = 22 number of steps = 695 number of f-s = 1305 (excluding J-s) = 1305 number of J-s = 30 max. error at root = 0.21D-03 Solution with jt = 2 t x xdot meth nq h tsw 0.84609D+01 0.16731D+01 -0.464D-01 2 4 0.209D+00 0.311D+00 0.16922D+02 -0.11574D-03 -0.141D+02 1 7 0.206D-02 0.158D+02 0.25592D+02 -0.16828D+01 0.459D-01 2 4 0.240D+00 0.174D+02 0.34263D+02 0.21448D-03 0.141D+02 1 8 0.293D-02 0.332D+02 Final statistics for this run: rwork size = 52 iwork size = 22 number of steps = 695 number of f-s = 1365 (excluding J-s) = 1305 number of J-s = 30 max. error at root = 0.21D-03 -------------------------------------------------------------------------------- Problem 2: ydot = A * y , where A is a banded lower triangular matrix derived from 2-D advection PDE neq = 25 ml = 5 mu = 0 itol = 1 rtol = 0.0D+00 atol = 0.1D-05 Solution with jt = 4 t max.err. meth nq h tsw 0.10000D-01 0.476D-06 1 2 0.714D-02 0.000D+00 0.10000D+00 0.988D-06 1 4 0.343D-01 0.000D+00 0.10000D+01 0.431D-06 1 5 0.724D-01 0.000D+00 0.10000D+02 0.558D-07 1 3 0.323D+00 0.000D+00 0.10000D+03 0.127D-11 2 1 0.239D+03 0.170D+02 Final statistics for this run: rwork size = 522 iwork size = 45 number of steps = 105 number of f-s = 207 (excluding J-s) = 207 number of J-s = 3 error overrun = 0.99D+00 Solution with jt = 5 t max.err. meth nq h tsw 0.10000D-01 0.476D-06 1 2 0.714D-02 0.000D+00 0.10000D+00 0.988D-06 1 4 0.343D-01 0.000D+00 0.10000D+01 0.431D-06 1 5 0.724D-01 0.000D+00 0.10000D+02 0.558D-07 1 3 0.323D+00 0.000D+00 0.10000D+03 0.127D-11 2 1 0.239D+03 0.170D+02 Final statistics for this run: rwork size = 522 iwork size = 45 number of steps = 105 number of f-s = 225 (excluding J-s) = 207 number of J-s = 3 error overrun = 0.99D+00 Number of errors encountered = 0