pde44_eq.java running Given uxxxx(x,y,z,t) + 2 uyyyy(x,y,z,t) + 3 uzzzz(x,y,z,t) + 4 utttt(x,y,z,t) + 5 uxyt(x,y,z,t) + 6 uyyzz(x,y,z,t) + 7 uztt(x,y,z,t) + 8 uxxx(x,y,z,t) + 9 uyyt(x,y,z,t) + 10 uzt(x,y,z,t) + 11 ut(x,y,z,t) + 12 u(x,y,z,t) = F(x,y,z,t) F(x,y,z,t) = 706 + 120 t^2 + 140 y^2z + 768 x + 180 z^2*t + 200 y^2z*t + 44 t^3 + 110 y^2z^2t + 66 xy + 12t^4 + 24 z^4 + 36 y^4 + 48 x^4 + 60 y^2z^2t^2 + 72 xyt + 84 xz + 96 t xmin<=x<=xmax ymin<=y<=ymax zmin<=z<=zmax Boundaries Analytic solution u(x,y,z,t) = t^4 + 2 z^4 + 3 y^4 + 4 x^4 + 5 y^2 z^2 t^2 + 6 x y t + 7 x z + 8 t + 9 xmin=0.0, xmax=1.0, ymin=0.0, ymax=1.0 zmin=0.0, zmax=1.0, tmin=0.0, tmax=1.0 nx=6, ny=6, nz=6, nt=6 x grid and analytic solution at ymin,zmin,tmin i=0, Ua(0.000,0.000,0.000,0.000)=9.000 i=1, Ua(0.200,0.000,0.000,0.000)=9.006 i=2, Ua(0.400,0.000,0.000,0.000)=9.102 i=3, Ua(0.600,0.000,0.000,0.000)=9.518 i=4, Ua(0.800,0.000,0.000,0.000)=10.638 i=5, Ua(1.000,0.000,0.000,0.000)=13.000 y grid and analytic solution at xmin,zmin,tmin ii=0, Ua(0.000,0.000,0.000,0.000)=9.000 ii=1, Ua(0.000,0.200,0.000,0.000)=9.005 ii=2, Ua(0.000,0.400,0.000,0.000)=9.077 ii=3, Ua(0.000,0.600,0.000,0.000)=9.389 ii=4, Ua(0.000,0.800,0.000,0.000)=10.229 ii=5, Ua(0.000,1.000,0.000,0.000)=12.000 z grid and analytic solution at xmin,ymin,tmin iii=0, Ua(0.000,0.000,0.000,0.000)=9.000 iii=1, Ua(0.000,0.000,0.200,0.000)=9.003 iii=2, Ua(0.000,0.000,0.400,0.000)=9.051 iii=3, Ua(0.000,0.000,0.600,0.000)=9.259 iii=4, Ua(0.000,0.000,0.800,0.000)=9.819 iii=5, Ua(0.000,0.000,1.000,0.000)=11.000 t grid and analytic solution at xmin,ymin,zmin iiii=0, Ua(0.000,0.000,0.000,0.000)=9.000 iiii=1, Ua(0.000,0.000,0.000,0.200)=10.602 iiii=2, Ua(0.000,0.000,0.000,0.400)=12.226 iiii=3, Ua(0.000,0.000,0.000,0.600)=13.930 iiii=4, Ua(0.000,0.000,0.000,0.800)=15.810 iiii=5, Ua(0.000,0.000,0.000,1.000)=18.000 check rderiv(4,nx,0,hx,cxxxx cxxxx[0]=1875.0 cxxxx[1]=-8750.0 cxxxx[2]=16250.0 cxxxx[3]=-15000.0 cxxxx[4]=6875.0 cxxxx[5]=-1250.0 check rderiv(4,nx,nx-1,hx,cxxxx cxxxx[0]=-1250.0 cxxxx[1]=6875.0 cxxxx[2]=-15000.0 cxxxx[3]=16250.0 cxxxx[4]=-8750.0 cxxxx[5]=1875.0 put solution in Ua vector time for previous section = 0.006999969482421875 seconds initialize A time for previous section = 0.020999908447265625 seconds compute A matrix A computed stiffness matrix time for previous section = 0.14499998092651367 seconds solve 256 equations in 256 unknowns equations solved time for previous section = 0.09000015258789062 seconds check PDE against known solution check_soln maxerr=3.688001015689224E-10 check PDE against computed solution check_soln maxerr=8.068277566053439E-7 U computed, Ua analytic, error ug[1,1,1,1]=10.944, Ua=10.944, err=1.762E-11 ug[1,1,1,2]=12.617, Ua=12.617, err=1.860E-11 ug[1,1,1,3]=14.371, Ua=14.371, err=5.052E-11 ug[1,1,1,4]=16.301, Ua=16.301, err=6.082E-11 ug[1,1,2,1]=11.273, Ua=11.273, err=8.873E-11 ug[1,1,2,2]=12.949, Ua=12.949, err=9.297E-11 ug[1,1,2,3]=14.708, Ua=14.708, err=1.011E-10 ug[1,1,2,4]=16.644, Ua=16.644, err=1.043E-10 ug[1,1,3,1]=11.763, Ua=11.763, err=1.183E-10 ug[1,1,3,2]=13.444, Ua=13.444, err=1.244E-10 ug[1,1,3,3]=15.210, Ua=15.210, err=1.186E-10 ug[1,1,3,4]=17.158, Ua=17.158, err=1.091E-10 ug[1,1,4,1]=12.605, Ua=12.605, err=1.009E-10 ug[1,1,4,2]=14.292, Ua=14.292, err=1.003E-10 ug[1,1,4,3]=16.070, Ua=16.070, err=7.766E-11 ug[1,1,4,4]=18.034, Ua=18.034, err=5.593E-11 ug[1,2,1,1]=11.065, Ua=11.065, err=1.845E-11 ug[1,2,1,2]=12.789, Ua=12.789, err=2.843E-11 ug[1,2,1,3]=14.596, Ua=14.596, err=8.581E-11 ug[1,2,1,4]=16.580, Ua=16.580, err=1.128E-10 ug[1,2,2,1]=11.397, Ua=11.397, err=1.359E-10 ug[1,2,2,2]=13.132, Ua=13.132, err=1.406E-10 ug[1,2,2,3]=14.958, Ua=14.958, err=1.696E-10 ug[1,2,2,4]=16.970, Ua=16.970, err=1.744E-10 ug[1,2,3,1]=11.892, Ua=11.892, err=1.980E-10 ug[1,2,3,2]=13.646, Ua=13.646, err=2.004E-10 ug[1,2,3,3]=15.504, Ua=15.504, err=1.752E-10 ug[1,2,3,4]=17.560, Ua=17.560, err=1.666E-10 ug[1,2,4,1]=12.740, Ua=12.740, err=1.739E-10 ug[1,2,4,2]=14.522, Ua=14.522, err=1.592E-10 ug[1,2,4,3]=16.424, Ua=16.424, err=1.052E-10 ug[1,2,4,4]=18.544, Ua=18.544, err=6.587E-11 ug[1,3,1,1]=11.427, Ua=11.427, err=1.297E-12 ug[1,3,1,2]=13.204, Ua=13.204, err=2.004E-11 ug[1,3,1,3]=15.066, Ua=15.066, err=7.608E-11 ug[1,3,1,4]=17.110, Ua=17.110, err=1.243E-10 ug[1,3,2,1]=11.764, Ua=11.764, err=1.221E-10 ug[1,3,2,2]=13.566, Ua=13.566, err=1.288E-10 ug[1,3,2,3]=15.472, Ua=15.472, err=1.596E-10 ug[1,3,2,4]=17.576, Ua=17.576, err=1.695E-10 ug[1,3,3,1]=12.266, Ua=12.266, err=1.969E-10 ug[1,3,3,2]=14.112, Ua=14.112, err=1.912E-10 ug[1,3,3,3]=16.089, Ua=16.089, err=1.552E-10 ug[1,3,3,4]=18.295, Ua=18.295, err=1.275E-10 ug[1,3,4,1]=13.126, Ua=13.126, err=1.794E-10 ug[1,3,4,2]=15.032, Ua=15.032, err=1.523E-10 ug[1,3,4,3]=17.111, Ua=17.111, err=9.012E-11 ug[1,3,4,4]=19.457, Ua=19.457, err=6.129E-11 ug[1,4,1,1]=12.317, Ua=12.317, err=2.102E-11 ug[1,4,1,2]=14.148, Ua=14.148, err=2.540E-13 ug[1,4,1,3]=16.070, Ua=16.070, err=3.525E-11 ug[1,4,1,4]=18.178, Ua=18.178, err=6.492E-11 ug[1,4,2,1]=12.660, Ua=12.660, err=5.723E-11 ug[1,4,2,2]=14.538, Ua=14.538, err=5.860E-11 ug[1,4,2,3]=16.536, Ua=16.536, err=7.070E-11 ug[1,4,2,4]=18.752, Ua=18.752, err=9.009E-11 ug[1,4,3,1]=13.174, Ua=13.174, err=1.105E-10 ug[1,4,3,2]=15.128, Ua=15.128, err=1.006E-10 ug[1,4,3,3]=17.255, Ua=17.255, err=7.006E-11 ug[1,4,3,4]=19.649, Ua=19.649, err=5.859E-11 ug[1,4,4,1]=14.050, Ua=14.050, err=1.085E-10 ug[1,4,4,2]=16.112, Ua=16.112, err=7.827E-11 ug[1,4,4,3]=18.417, Ua=18.417, err=4.423E-11 ug[1,4,4,4]=21.063, Ua=21.063, err=2.138E-11 ug[2,1,1,1]=11.368, Ua=11.368, err=4.416E-11 ug[2,1,1,2]=13.089, Ua=13.089, err=6.601E-11 ug[2,1,1,3]=14.891, Ua=14.891, err=7.696E-11 ug[2,1,1,4]=16.869, Ua=16.869, err=6.276E-11 ug[2,1,2,1]=11.977, Ua=11.977, err=1.074E-10 ug[2,1,2,2]=13.701, Ua=13.701, err=1.137E-10 ug[2,1,2,3]=15.508, Ua=15.508, err=8.555E-11 ug[2,1,2,4]=17.492, Ua=17.492, err=3.133E-11 ug[2,1,3,1]=12.747, Ua=12.747, err=1.311E-10 ug[2,1,3,2]=14.476, Ua=14.476, err=1.196E-10 ug[2,1,3,3]=16.290, Ua=16.290, err=6.506E-11 ug[2,1,3,4]=18.286, Ua=18.286, err=1.844E-11 ug[2,1,4,1]=13.869, Ua=13.869, err=1.128E-10 ug[2,1,4,2]=15.604, Ua=15.604, err=8.827E-11 ug[2,1,4,3]=17.430, Ua=17.430, err=2.860E-11 ug[2,1,4,4]=19.442, Ua=19.442, err=4.810E-12 ug[2,2,1,1]=11.537, Ua=11.537, err=6.011E-11 ug[2,2,1,2]=13.357, Ua=13.357, err=9.457E-11 ug[2,2,1,3]=15.260, Ua=15.260, err=1.154E-10 ug[2,2,1,4]=17.340, Ua=17.340, err=9.929E-11 ug[2,2,2,1]=12.149, Ua=12.149, err=1.661E-10 ug[2,2,2,2]=13.980, Ua=13.980, err=1.670E-10 ug[2,2,2,3]=15.902, Ua=15.902, err=1.154E-10 ug[2,2,2,4]=18.010, Ua=18.010, err=8.848E-11 ug[2,2,3,1]=12.924, Ua=12.924, err=2.085E-10 ug[2,2,3,2]=14.774, Ua=14.774, err=1.752E-10 ug[2,2,3,3]=16.728, Ua=16.728, err=9.406E-11 ug[2,2,3,4]=18.880, Ua=18.880, err=4.526E-11 ug[2,2,4,1]=14.052, Ua=14.052, err=1.916E-10 ug[2,2,4,2]=15.930, Ua=15.930, err=1.379E-10 ug[2,2,4,3]=17.928, Ua=17.928, err=3.570E-11 ug[2,2,4,4]=20.144, Ua=20.144, err=1.044E-11 ug[2,3,1,1]=11.947, Ua=11.947, err=4.786E-11 ug[2,3,1,2]=13.868, Ua=13.868, err=7.391E-11 ug[2,3,1,3]=15.874, Ua=15.874, err=1.125E-10 ug[2,3,1,4]=18.062, Ua=18.062, err=1.198E-10 ug[2,3,2,1]=12.564, Ua=12.564, err=1.491E-10 ug[2,3,2,2]=14.510, Ua=14.510, err=1.382E-10 ug[2,3,2,3]=16.560, Ua=16.560, err=1.131E-10 ug[2,3,2,4]=18.808, Ua=18.808, err=9.530E-11 ug[2,3,3,1]=13.346, Ua=13.346, err=2.035E-10 ug[2,3,3,2]=15.336, Ua=15.336, err=1.542E-10 ug[2,3,3,3]=17.457, Ua=17.457, err=7.314E-11 ug[2,3,3,4]=19.807, Ua=19.807, err=4.608E-11 ug[2,3,4,1]=14.486, Ua=14.486, err=1.852E-10 ug[2,3,4,2]=16.536, Ua=16.536, err=1.282E-10 ug[2,3,4,3]=18.759, Ua=18.759, err=2.213E-11 ug[2,3,4,4]=21.249, Ua=21.249, err=2.666E-11 ug[2,4,1,1]=12.885, Ua=12.885, err=2.258E-11 ug[2,4,1,2]=14.908, Ua=14.908, err=2.564E-11 ug[2,4,1,3]=17.022, Ua=17.022, err=4.163E-11 ug[2,4,1,4]=19.322, Ua=19.322, err=5.770E-11 ug[2,4,2,1]=13.508, Ua=13.508, err=8.125E-11 ug[2,4,2,2]=15.578, Ua=15.578, err=5.300E-11 ug[2,4,2,3]=17.768, Ua=17.768, err=2.634E-11 ug[2,4,2,4]=20.176, Ua=20.176, err=3.331E-11 ug[2,4,3,1]=14.302, Ua=14.302, err=1.129E-10 ug[2,4,3,2]=16.448, Ua=16.448, err=6.669E-11 ug[2,4,3,3]=18.767, Ua=18.767, err=9.376E-12 ug[2,4,3,4]=21.353, Ua=21.353, err=3.222E-12 ug[2,4,4,1]=15.458, Ua=15.458, err=1.107E-10 ug[2,4,4,2]=17.712, Ua=17.712, err=6.315E-11 ug[2,4,4,3]=20.209, Ua=20.209, err=7.585E-12 ug[2,4,4,4]=23.047, Ua=23.047, err=3.503E-11 ug[3,1,1,1]=12.112, Ua=12.112, err=1.617E-10 ug[3,1,1,2]=13.881, Ua=13.881, err=1.365E-10 ug[3,1,1,3]=15.731, Ua=15.731, err=1.137E-11 ug[3,1,1,4]=17.757, Ua=17.757, err=8.584E-11 ug[3,1,2,1]=13.001, Ua=13.001, err=1.380E-10 ug[3,1,2,2]=14.773, Ua=14.773, err=9.849E-11 ug[3,1,2,3]=16.628, Ua=16.628, err=3.283E-11 ug[3,1,2,4]=18.660, Ua=18.660, err=1.380E-10 ug[3,1,3,1]=14.051, Ua=14.051, err=6.454E-11 ug[3,1,3,2]=15.828, Ua=15.828, err=3.877E-11 ug[3,1,3,3]=17.690, Ua=17.690, err=3.284E-11 ug[3,1,3,4]=19.734, Ua=19.734, err=9.266E-11 ug[3,1,4,1]=15.453, Ua=15.453, err=1.968E-12 ug[3,1,4,2]=17.236, Ua=17.236, err=1.140E-11 ug[3,1,4,3]=19.110, Ua=19.110, err=1.097E-11 ug[3,1,4,4]=21.170, Ua=21.170, err=7.816E-13 ug[3,2,1,1]=12.329, Ua=12.329, err=2.510E-10 ug[3,2,1,2]=14.245, Ua=14.245, err=1.990E-10 ug[3,2,1,3]=16.244, Ua=16.244, err=7.560E-12 ug[3,2,1,4]=18.420, Ua=18.420, err=1.308E-10 ug[3,2,2,1]=13.221, Ua=13.221, err=2.050E-10 ug[3,2,2,2]=15.148, Ua=15.148, err=1.287E-10 ug[3,2,2,3]=17.166, Ua=17.166, err=6.952E-11 ug[3,2,2,4]=19.370, Ua=19.370, err=1.961E-10 ug[3,2,3,1]=14.276, Ua=14.276, err=8.339E-11 ug[3,2,3,2]=16.222, Ua=16.222, err=3.588E-11 ug[3,2,3,3]=18.272, Ua=18.272, err=6.360E-11 ug[3,2,3,4]=20.520, Ua=20.520, err=1.271E-10 ug[3,2,4,1]=15.684, Ua=15.684, err=3.181E-12 ug[3,2,4,2]=17.658, Ua=17.658, err=1.056E-11 ug[3,2,4,3]=19.752, Ua=19.752, err=7.560E-12 ug[3,2,4,4]=22.064, Ua=22.064, err=1.677E-12 ug[3,3,1,1]=12.787, Ua=12.787, err=2.223E-10 ug[3,3,1,2]=14.852, Ua=14.852, err=1.737E-10 ug[3,3,1,3]=17.002, Ua=17.002, err=2.245E-12 ug[3,3,1,4]=19.334, Ua=19.334, err=1.029E-10 ug[3,3,2,1]=13.684, Ua=13.684, err=1.723E-10 ug[3,3,2,2]=15.774, Ua=15.774, err=8.919E-11 ug[3,3,2,3]=17.968, Ua=17.968, err=8.596E-11 ug[3,3,2,4]=20.360, Ua=20.360, err=1.710E-10 ug[3,3,3,1]=14.746, Ua=14.746, err=6.289E-11 ug[3,3,3,2]=16.880, Ua=16.880, err=5.624E-12 ug[3,3,3,3]=19.145, Ua=19.145, err=8.502E-11 ug[3,3,3,4]=21.639, Ua=21.639, err=1.231E-10 ug[3,3,4,1]=16.166, Ua=16.166, err=1.411E-11 ug[3,3,4,2]=18.360, Ua=18.360, err=1.751E-12 ug[3,3,4,3]=20.727, Ua=20.727, err=1.225E-11 ug[3,3,4,4]=23.361, Ua=23.361, err=2.419E-11 ug[3,4,1,1]=13.773, Ua=13.773, err=1.230E-10 ug[3,4,1,2]=15.988, Ua=15.988, err=7.736E-11 ug[3,4,1,3]=18.294, Ua=18.294, err=2.899E-11 ug[3,4,1,4]=20.786, Ua=20.786, err=7.233E-11 ug[3,4,2,1]=14.676, Ua=14.676, err=8.269E-11 ug[3,4,2,2]=16.938, Ua=16.938, err=1.116E-11 ug[3,4,2,3]=19.320, Ua=19.320, err=9.591E-11 ug[3,4,2,4]=21.920, Ua=21.920, err=1.264E-10 ug[3,4,3,1]=15.750, Ua=15.750, err=1.852E-11 ug[3,4,3,2]=18.088, Ua=18.088, err=3.506E-11 ug[3,4,3,3]=20.599, Ua=20.599, err=9.438E-11 ug[3,4,3,4]=23.377, Ua=23.377, err=9.863E-11 ug[3,4,4,1]=17.186, Ua=17.186, err=1.766E-12 ug[3,4,4,2]=19.632, Ua=19.632, err=1.952E-11 ug[3,4,4,3]=22.321, Ua=22.321, err=3.513E-11 ug[3,4,4,4]=25.351, Ua=25.351, err=3.877E-11 ug[4,1,1,1]=13.560, Ua=13.560, err=2.106E-10 ug[4,1,1,2]=15.377, Ua=15.377, err=1.421E-10 ug[4,1,1,3]=17.275, Ua=17.275, err=4.828E-11 ug[4,1,1,4]=19.349, Ua=19.349, err=1.775E-10 ug[4,1,2,1]=14.729, Ua=14.729, err=1.175E-10 ug[4,1,2,2]=16.549, Ua=16.549, err=5.305E-11 ug[4,1,2,3]=18.452, Ua=18.452, err=1.050E-10 ug[4,1,2,4]=20.532, Ua=20.532, err=2.154E-10 ug[4,1,3,1]=16.059, Ua=16.059, err=1.006E-11 ug[4,1,3,2]=17.884, Ua=17.884, err=2.786E-11 ug[4,1,3,3]=19.794, Ua=19.794, err=8.361E-11 ug[4,1,3,4]=21.886, Ua=21.886, err=1.338E-10 ug[4,1,4,1]=17.741, Ua=17.741, err=7.468E-11 ug[4,1,4,2]=19.572, Ua=19.572, err=4.007E-11 ug[4,1,4,3]=21.494, Ua=21.494, err=4.345E-12 ug[4,1,4,4]=23.602, Ua=23.602, err=1.319E-11 ug[4,2,1,1]=13.825, Ua=13.825, err=3.290E-10 ug[4,2,1,2]=15.837, Ua=15.837, err=2.108E-10 ug[4,2,1,3]=17.932, Ua=17.932, err=9.491E-11 ug[4,2,1,4]=20.204, Ua=20.204, err=2.811E-10 ug[4,2,2,1]=14.997, Ua=14.997, err=1.723E-10 ug[4,2,2,2]=17.020, Ua=17.020, err=5.621E-11 ug[4,2,2,3]=19.134, Ua=19.134, err=1.897E-10 ug[4,2,2,4]=21.434, Ua=21.434, err=3.336E-10 ug[4,2,3,1]=16.332, Ua=16.332, err=3.300E-11 ug[4,2,3,2]=18.374, Ua=18.374, err=7.494E-11 ug[4,2,3,3]=20.520, Ua=20.520, err=1.479E-10 ug[4,2,3,4]=22.864, Ua=22.864, err=1.964E-10 ug[4,2,4,1]=18.020, Ua=18.020, err=1.290E-10 ug[4,2,4,2]=20.090, Ua=20.090, err=7.974E-11 ug[4,2,4,3]=22.280, Ua=22.280, err=4.107E-12 ug[4,2,4,4]=24.688, Ua=24.688, err=3.152E-11 ug[4,3,1,1]=14.331, Ua=14.331, err=2.985E-10 ug[4,3,1,2]=16.540, Ua=16.540, err=1.841E-10 ug[4,3,1,3]=18.834, Ua=18.834, err=1.056E-10 ug[4,3,1,4]=21.310, Ua=21.310, err=2.651E-10 ug[4,3,2,1]=15.508, Ua=15.508, err=1.374E-10 ug[4,3,2,2]=17.742, Ua=17.742, err=1.645E-11 ug[4,3,2,3]=20.080, Ua=20.080, err=2.108E-10 ug[4,3,2,4]=22.616, Ua=22.616, err=3.207E-10 ug[4,3,3,1]=16.850, Ua=16.850, err=5.793E-11 ug[4,3,3,2]=19.128, Ua=19.128, err=1.119E-10 ug[4,3,3,3]=21.537, Ua=21.537, err=1.691E-10 ug[4,3,3,4]=24.175, Ua=24.175, err=1.910E-10 ug[4,3,4,1]=18.550, Ua=18.550, err=1.323E-10 ug[4,3,4,2]=20.888, Ua=20.888, err=9.804E-11 ug[4,3,4,3]=23.399, Ua=23.399, err=1.326E-11 ug[4,3,4,4]=26.177, Ua=26.177, err=1.920E-11 ug[4,4,1,1]=15.365, Ua=15.365, err=1.632E-10 ug[4,4,1,2]=17.772, Ua=17.772, err=8.594E-11 ug[4,4,1,3]=20.270, Ua=20.270, err=8.830E-11 ug[4,4,1,4]=22.954, Ua=22.954, err=1.715E-10 ug[4,4,2,1]=16.548, Ua=16.548, err=5.334E-11 ug[4,4,2,2]=19.002, Ua=19.002, err=3.256E-11 ug[4,4,2,3]=21.576, Ua=21.576, err=1.662E-10 ug[4,4,2,4]=24.368, Ua=24.368, err=2.117E-10 ug[4,4,3,1]=17.902, Ua=17.902, err=6.620E-11 ug[4,4,3,2]=20.432, Ua=20.432, err=1.100E-10 ug[4,4,3,3]=23.135, Ua=23.135, err=1.384E-10 ug[4,4,3,4]=26.105, Ua=26.105, err=1.315E-10 ug[4,4,4,1]=19.618, Ua=19.618, err=9.347E-11 ug[4,4,4,2]=22.256, Ua=22.256, err=8.300E-11 ug[4,4,4,3]=25.137, Ua=25.137, err=3.106E-11 ug[4,4,4,4]=28.359, Ua=28.359, err=5.311E-12 total CPU time = 0.4909999370574951 seconds maxerr=3.336E-10, avgerr=1.888E-11 end pde44_eq.java