pde44h_eq.java running 
Given uxxxx(x,y,z,t) + uyyyy(x,y,z,t) + uzzzz(x,y,z,t) + 
    utttt(x,y,z,t) + 2 uxx(x,y,z,t) + 2 uyy(x,y,z,t) + 
    2 uzz(x,y,z,t) + 2 u(x,y,z,t) = 0
xmin<=x<=xmax ymin<=y<=ymax zmin<=z<=zmax Boundaries 
Analytic solution u(x,y,z,t) =  sin(x+y+z+t
 
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)=0.000
i=1, Ua(0.200,0.000,0.000,0.000)=0.199
i=2, Ua(0.400,0.000,0.000,0.000)=0.389
i=3, Ua(0.600,0.000,0.000,0.000)=0.565
i=4, Ua(0.800,0.000,0.000,0.000)=0.717
i=5, Ua(1.000,0.000,0.000,0.000)=0.841
 
y grid and analytic solution at xmin,zmin,tmin 
ii=0, Ua(0.000,0.000,0.000,0.000)=0.000
ii=1, Ua(0.000,0.200,0.000,0.000)=0.199
ii=2, Ua(0.000,0.400,0.000,0.000)=0.389
ii=3, Ua(0.000,0.600,0.000,0.000)=0.565
ii=4, Ua(0.000,0.800,0.000,0.000)=0.717
ii=5, Ua(0.000,1.000,0.000,0.000)=0.841
 
z grid and analytic solution at xmin,ymin,tmin 
iii=0, Ua(0.000,0.000,0.000,0.000)=0.000
iii=1, Ua(0.000,0.000,0.200,0.000)=0.199
iii=2, Ua(0.000,0.000,0.400,0.000)=0.389
iii=3, Ua(0.000,0.000,0.600,0.000)=0.565
iii=4, Ua(0.000,0.000,0.800,0.000)=0.717
iii=5, Ua(0.000,0.000,1.000,0.000)=0.841
 
t grid and analytic solution at xmin,ymin,zmin 
iiii=0, Ua(0.000,0.000,0.000,0.000)=0.000
iiii=1, Ua(0.000,0.000,0.000,0.200)=0.199
iiii=2, Ua(0.000,0.000,0.000,0.400)=0.389
iiii=3, Ua(0.000,0.000,0.000,0.600)=0.565
iiii=4, Ua(0.000,0.000,0.000,0.800)=0.717
iiii=5, Ua(0.000,0.000,0.000,1.000)=0.841
 
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 = 0.00800013542175293 seconds 
 
initialize A 
time for previous section = 0.020999908447265625 seconds 
 
compute A matrix 
A computed stiffness matrix 
time for previous section = 0.11400008201599121 seconds 
 
solve 256 equations in 256 unknowns 
equations solved 
time for previous section = 0.11400008201599121 seconds 
 
check PDE against known solution
check_soln maxerr=0.12879631325314955
check PDE against computed solution
check_soln maxerr=3.0896699468797824
 
writing pde44h_eq.dat
finished writing pde44h_eq_java.dat
          U computed, Ua analytic, error 
ug[1,1,1,1]=0.719, Ua=0.717, err=1.270E-03
ug[1,1,1,2]=0.843, Ua=0.841, err=1.410E-03
ug[1,1,1,3]=0.933, Ua=0.932, err=1.428E-03
ug[1,1,1,4]=0.987, Ua=0.985, err=1.327E-03
ug[1,1,2,1]=0.843, Ua=0.841, err=1.426E-03
ug[1,1,2,2]=0.934, Ua=0.932, err=1.590E-03
ug[1,1,2,3]=0.987, Ua=0.985, err=1.589E-03
ug[1,1,2,4]=1.001, Ua=1.000, err=1.430E-03
ug[1,1,3,1]=0.933, Ua=0.932, err=1.443E-03
ug[1,1,3,2]=0.987, Ua=0.985, err=1.588E-03
ug[1,1,3,3]=1.001, Ua=1.000, err=1.569E-03
ug[1,1,3,4]=0.975, Ua=0.974, err=1.396E-03
ug[1,1,4,1]=0.987, Ua=0.985, err=1.325E-03
ug[1,1,4,2]=1.001, Ua=1.000, err=1.412E-03
ug[1,1,4,3]=0.975, Ua=0.974, err=1.379E-03
ug[1,1,4,4]=0.911, Ua=0.909, err=1.233E-03
ug[1,2,1,1]=0.843, Ua=0.841, err=1.426E-03
ug[1,2,1,2]=0.934, Ua=0.932, err=1.590E-03
ug[1,2,1,3]=0.987, Ua=0.985, err=1.589E-03
ug[1,2,1,4]=1.001, Ua=1.000, err=1.430E-03
ug[1,2,2,1]=0.934, Ua=0.932, err=1.608E-03
ug[1,2,2,2]=0.987, Ua=0.985, err=1.810E-03
ug[1,2,2,3]=1.001, Ua=1.000, err=1.788E-03
ug[1,2,2,4]=0.975, Ua=0.974, err=1.553E-03
ug[1,2,3,1]=0.987, Ua=0.985, err=1.605E-03
ug[1,2,3,2]=1.001, Ua=1.000, err=1.786E-03
ug[1,2,3,3]=0.976, Ua=0.974, err=1.745E-03
ug[1,2,3,4]=0.911, Ua=0.909, err=1.497E-03
ug[1,2,4,1]=1.001, Ua=1.000, err=1.427E-03
ug[1,2,4,2]=0.975, Ua=0.974, err=1.532E-03
ug[1,2,4,3]=0.911, Ua=0.909, err=1.479E-03
ug[1,2,4,4]=0.810, Ua=0.808, err=1.279E-03
ug[1,3,1,1]=0.933, Ua=0.932, err=1.443E-03
ug[1,3,1,2]=0.987, Ua=0.985, err=1.588E-03
ug[1,3,1,3]=1.001, Ua=1.000, err=1.569E-03
ug[1,3,1,4]=0.975, Ua=0.974, err=1.396E-03
ug[1,3,2,1]=0.987, Ua=0.985, err=1.605E-03
ug[1,3,2,2]=1.001, Ua=1.000, err=1.786E-03
ug[1,3,2,3]=0.976, Ua=0.974, err=1.745E-03
ug[1,3,2,4]=0.911, Ua=0.909, err=1.497E-03
ug[1,3,3,1]=1.001, Ua=1.000, err=1.585E-03
ug[1,3,3,2]=0.976, Ua=0.974, err=1.744E-03
ug[1,3,3,3]=0.911, Ua=0.909, err=1.684E-03
ug[1,3,3,4]=0.810, Ua=0.808, err=1.425E-03
ug[1,3,4,1]=0.975, Ua=0.974, err=1.392E-03
ug[1,3,4,2]=0.911, Ua=0.909, err=1.477E-03
ug[1,3,4,3]=0.810, Ua=0.808, err=1.406E-03
ug[1,3,4,4]=0.677, Ua=0.675, err=1.197E-03
ug[1,4,1,1]=0.987, Ua=0.985, err=1.325E-03
ug[1,4,1,2]=1.001, Ua=1.000, err=1.412E-03
ug[1,4,1,3]=0.975, Ua=0.974, err=1.379E-03
ug[1,4,1,4]=0.911, Ua=0.909, err=1.233E-03
ug[1,4,2,1]=1.001, Ua=1.000, err=1.427E-03
ug[1,4,2,2]=0.975, Ua=0.974, err=1.532E-03
ug[1,4,2,3]=0.911, Ua=0.909, err=1.479E-03
ug[1,4,2,4]=0.810, Ua=0.808, err=1.279E-03
ug[1,4,3,1]=0.975, Ua=0.974, err=1.392E-03
ug[1,4,3,2]=0.911, Ua=0.909, err=1.477E-03
ug[1,4,3,3]=0.810, Ua=0.808, err=1.406E-03
ug[1,4,3,4]=0.677, Ua=0.675, err=1.197E-03
ug[1,4,4,1]=0.911, Ua=0.909, err=1.229E-03
ug[1,4,4,2]=0.810, Ua=0.808, err=1.261E-03
ug[1,4,4,3]=0.677, Ua=0.675, err=1.181E-03
ug[1,4,4,4]=0.517, Ua=0.516, err=1.002E-03
ug[2,1,1,1]=0.843, Ua=0.841, err=1.426E-03
ug[2,1,1,2]=0.934, Ua=0.932, err=1.590E-03
ug[2,1,1,3]=0.987, Ua=0.985, err=1.589E-03
ug[2,1,1,4]=1.001, Ua=1.000, err=1.430E-03
ug[2,1,2,1]=0.934, Ua=0.932, err=1.608E-03
ug[2,1,2,2]=0.987, Ua=0.985, err=1.810E-03
ug[2,1,2,3]=1.001, Ua=1.000, err=1.788E-03
ug[2,1,2,4]=0.975, Ua=0.974, err=1.553E-03
ug[2,1,3,1]=0.987, Ua=0.985, err=1.605E-03
ug[2,1,3,2]=1.001, Ua=1.000, err=1.786E-03
ug[2,1,3,3]=0.976, Ua=0.974, err=1.745E-03
ug[2,1,3,4]=0.911, Ua=0.909, err=1.497E-03
ug[2,1,4,1]=1.001, Ua=1.000, err=1.427E-03
ug[2,1,4,2]=0.975, Ua=0.974, err=1.532E-03
ug[2,1,4,3]=0.911, Ua=0.909, err=1.479E-03
ug[2,1,4,4]=0.810, Ua=0.808, err=1.279E-03
ug[2,2,1,1]=0.934, Ua=0.932, err=1.608E-03
ug[2,2,1,2]=0.987, Ua=0.985, err=1.810E-03
ug[2,2,1,3]=1.001, Ua=1.000, err=1.788E-03
ug[2,2,1,4]=0.975, Ua=0.974, err=1.553E-03
ug[2,2,2,1]=0.987, Ua=0.985, err=1.830E-03
ug[2,2,2,2]=1.002, Ua=1.000, err=2.095E-03
ug[2,2,2,3]=0.976, Ua=0.974, err=2.048E-03
ug[2,2,2,4]=0.911, Ua=0.909, err=1.709E-03
ug[2,2,3,1]=1.001, Ua=1.000, err=1.806E-03
ug[2,2,3,2]=0.976, Ua=0.974, err=2.046E-03
ug[2,2,3,3]=0.911, Ua=0.909, err=1.979E-03
ug[2,2,3,4]=0.810, Ua=0.808, err=1.630E-03
ug[2,2,4,1]=0.975, Ua=0.974, err=1.549E-03
ug[2,2,4,2]=0.911, Ua=0.909, err=1.686E-03
ug[2,2,4,3]=0.810, Ua=0.808, err=1.609E-03
ug[2,2,4,4]=0.677, Ua=0.675, err=1.341E-03
ug[2,3,1,1]=0.987, Ua=0.985, err=1.605E-03
ug[2,3,1,2]=1.001, Ua=1.000, err=1.786E-03
ug[2,3,1,3]=0.976, Ua=0.974, err=1.745E-03
ug[2,3,1,4]=0.911, Ua=0.909, err=1.497E-03
ug[2,3,2,1]=1.001, Ua=1.000, err=1.806E-03
ug[2,3,2,2]=0.976, Ua=0.974, err=2.046E-03
ug[2,3,2,3]=0.911, Ua=0.909, err=1.979E-03
ug[2,3,2,4]=0.810, Ua=0.808, err=1.630E-03
ug[2,3,3,1]=0.976, Ua=0.974, err=1.763E-03
ug[2,3,3,2]=0.911, Ua=0.909, err=1.977E-03
ug[2,3,3,3]=0.810, Ua=0.808, err=1.891E-03
ug[2,3,3,4]=0.677, Ua=0.675, err=1.535E-03
ug[2,3,4,1]=0.911, Ua=0.909, err=1.493E-03
ug[2,3,4,2]=0.810, Ua=0.808, err=1.607E-03
ug[2,3,4,3]=0.677, Ua=0.675, err=1.515E-03
ug[2,3,4,4]=0.517, Ua=0.516, err=1.239E-03
ug[2,4,1,1]=1.001, Ua=1.000, err=1.427E-03
ug[2,4,1,2]=0.975, Ua=0.974, err=1.532E-03
ug[2,4,1,3]=0.911, Ua=0.909, err=1.479E-03
ug[2,4,1,4]=0.810, Ua=0.808, err=1.279E-03
ug[2,4,2,1]=0.975, Ua=0.974, err=1.549E-03
ug[2,4,2,2]=0.911, Ua=0.909, err=1.686E-03
ug[2,4,2,3]=0.810, Ua=0.808, err=1.609E-03
ug[2,4,2,4]=0.677, Ua=0.675, err=1.341E-03
ug[2,4,3,1]=0.911, Ua=0.909, err=1.493E-03
ug[2,4,3,2]=0.810, Ua=0.808, err=1.607E-03
ug[2,4,3,3]=0.677, Ua=0.675, err=1.515E-03
ug[2,4,3,4]=0.517, Ua=0.516, err=1.239E-03
ug[2,4,4,1]=0.810, Ua=0.808, err=1.275E-03
ug[2,4,4,2]=0.677, Ua=0.675, err=1.320E-03
ug[2,4,4,3]=0.517, Ua=0.516, err=1.222E-03
ug[2,4,4,4]=0.336, Ua=0.335, err=9.974E-04
ug[3,1,1,1]=0.933, Ua=0.932, err=1.443E-03
ug[3,1,1,2]=0.987, Ua=0.985, err=1.588E-03
ug[3,1,1,3]=1.001, Ua=1.000, err=1.569E-03
ug[3,1,1,4]=0.975, Ua=0.974, err=1.396E-03
ug[3,1,2,1]=0.987, Ua=0.985, err=1.605E-03
ug[3,1,2,2]=1.001, Ua=1.000, err=1.786E-03
ug[3,1,2,3]=0.976, Ua=0.974, err=1.745E-03
ug[3,1,2,4]=0.911, Ua=0.909, err=1.497E-03
ug[3,1,3,1]=1.001, Ua=1.000, err=1.585E-03
ug[3,1,3,2]=0.976, Ua=0.974, err=1.744E-03
ug[3,1,3,3]=0.911, Ua=0.909, err=1.684E-03
ug[3,1,3,4]=0.810, Ua=0.808, err=1.425E-03
ug[3,1,4,1]=0.975, Ua=0.974, err=1.392E-03
ug[3,1,4,2]=0.911, Ua=0.909, err=1.477E-03
ug[3,1,4,3]=0.810, Ua=0.808, err=1.406E-03
ug[3,1,4,4]=0.677, Ua=0.675, err=1.197E-03
ug[3,2,1,1]=0.987, Ua=0.985, err=1.605E-03
ug[3,2,1,2]=1.001, Ua=1.000, err=1.786E-03
ug[3,2,1,3]=0.976, Ua=0.974, err=1.745E-03
ug[3,2,1,4]=0.911, Ua=0.909, err=1.497E-03
ug[3,2,2,1]=1.001, Ua=1.000, err=1.806E-03
ug[3,2,2,2]=0.976, Ua=0.974, err=2.046E-03
ug[3,2,2,3]=0.911, Ua=0.909, err=1.979E-03
ug[3,2,2,4]=0.810, Ua=0.808, err=1.630E-03
ug[3,2,3,1]=0.976, Ua=0.974, err=1.763E-03
ug[3,2,3,2]=0.911, Ua=0.909, err=1.977E-03
ug[3,2,3,3]=0.810, Ua=0.808, err=1.891E-03
ug[3,2,3,4]=0.677, Ua=0.675, err=1.535E-03
ug[3,2,4,1]=0.911, Ua=0.909, err=1.493E-03
ug[3,2,4,2]=0.810, Ua=0.808, err=1.607E-03
ug[3,2,4,3]=0.677, Ua=0.675, err=1.515E-03
ug[3,2,4,4]=0.517, Ua=0.516, err=1.239E-03
ug[3,3,1,1]=1.001, Ua=1.000, err=1.585E-03
ug[3,3,1,2]=0.976, Ua=0.974, err=1.744E-03
ug[3,3,1,3]=0.911, Ua=0.909, err=1.684E-03
ug[3,3,1,4]=0.810, Ua=0.808, err=1.425E-03
ug[3,3,2,1]=0.976, Ua=0.974, err=1.763E-03
ug[3,3,2,2]=0.911, Ua=0.909, err=1.977E-03
ug[3,3,2,3]=0.810, Ua=0.808, err=1.891E-03
ug[3,3,2,4]=0.677, Ua=0.675, err=1.535E-03
ug[3,3,3,1]=0.911, Ua=0.909, err=1.701E-03
ug[3,3,3,2]=0.810, Ua=0.808, err=1.889E-03
ug[3,3,3,3]=0.677, Ua=0.675, err=1.786E-03
ug[3,3,3,4]=0.517, Ua=0.516, err=1.425E-03
ug[3,3,4,1]=0.810, Ua=0.808, err=1.420E-03
ug[3,3,4,2]=0.677, Ua=0.675, err=1.512E-03
ug[3,3,4,3]=0.517, Ua=0.516, err=1.405E-03
ug[3,3,4,4]=0.336, Ua=0.335, err=1.125E-03
ug[3,4,1,1]=0.975, Ua=0.974, err=1.392E-03
ug[3,4,1,2]=0.911, Ua=0.909, err=1.477E-03
ug[3,4,1,3]=0.810, Ua=0.808, err=1.406E-03
ug[3,4,1,4]=0.677, Ua=0.675, err=1.197E-03
ug[3,4,2,1]=0.911, Ua=0.909, err=1.493E-03
ug[3,4,2,2]=0.810, Ua=0.808, err=1.607E-03
ug[3,4,2,3]=0.677, Ua=0.675, err=1.515E-03
ug[3,4,2,4]=0.517, Ua=0.516, err=1.239E-03
ug[3,4,3,1]=0.810, Ua=0.808, err=1.420E-03
ug[3,4,3,2]=0.677, Ua=0.675, err=1.512E-03
ug[3,4,3,3]=0.517, Ua=0.516, err=1.405E-03
ug[3,4,3,4]=0.336, Ua=0.335, err=1.125E-03
ug[3,4,4,1]=0.677, Ua=0.675, err=1.192E-03
ug[3,4,4,2]=0.517, Ua=0.516, err=1.219E-03
ug[3,4,4,3]=0.336, Ua=0.335, err=1.108E-03
ug[3,4,4,4]=0.142, Ua=0.141, err=8.807E-04
ug[4,1,1,1]=0.987, Ua=0.985, err=1.325E-03
ug[4,1,1,2]=1.001, Ua=1.000, err=1.412E-03
ug[4,1,1,3]=0.975, Ua=0.974, err=1.379E-03
ug[4,1,1,4]=0.911, Ua=0.909, err=1.233E-03
ug[4,1,2,1]=1.001, Ua=1.000, err=1.427E-03
ug[4,1,2,2]=0.975, Ua=0.974, err=1.532E-03
ug[4,1,2,3]=0.911, Ua=0.909, err=1.479E-03
ug[4,1,2,4]=0.810, Ua=0.808, err=1.279E-03
ug[4,1,3,1]=0.975, Ua=0.974, err=1.392E-03
ug[4,1,3,2]=0.911, Ua=0.909, err=1.477E-03
ug[4,1,3,3]=0.810, Ua=0.808, err=1.406E-03
ug[4,1,3,4]=0.677, Ua=0.675, err=1.197E-03
ug[4,1,4,1]=0.911, Ua=0.909, err=1.229E-03
ug[4,1,4,2]=0.810, Ua=0.808, err=1.261E-03
ug[4,1,4,3]=0.677, Ua=0.675, err=1.181E-03
ug[4,1,4,4]=0.517, Ua=0.516, err=1.002E-03
ug[4,2,1,1]=1.001, Ua=1.000, err=1.427E-03
ug[4,2,1,2]=0.975, Ua=0.974, err=1.532E-03
ug[4,2,1,3]=0.911, Ua=0.909, err=1.479E-03
ug[4,2,1,4]=0.810, Ua=0.808, err=1.279E-03
ug[4,2,2,1]=0.975, Ua=0.974, err=1.549E-03
ug[4,2,2,2]=0.911, Ua=0.909, err=1.686E-03
ug[4,2,2,3]=0.810, Ua=0.808, err=1.609E-03
ug[4,2,2,4]=0.677, Ua=0.675, err=1.341E-03
ug[4,2,3,1]=0.911, Ua=0.909, err=1.493E-03
ug[4,2,3,2]=0.810, Ua=0.808, err=1.607E-03
ug[4,2,3,3]=0.677, Ua=0.675, err=1.515E-03
ug[4,2,3,4]=0.517, Ua=0.516, err=1.239E-03
ug[4,2,4,1]=0.810, Ua=0.808, err=1.275E-03
ug[4,2,4,2]=0.677, Ua=0.675, err=1.320E-03
ug[4,2,4,3]=0.517, Ua=0.516, err=1.222E-03
ug[4,2,4,4]=0.336, Ua=0.335, err=9.974E-04
ug[4,3,1,1]=0.975, Ua=0.974, err=1.392E-03
ug[4,3,1,2]=0.911, Ua=0.909, err=1.477E-03
ug[4,3,1,3]=0.810, Ua=0.808, err=1.406E-03
ug[4,3,1,4]=0.677, Ua=0.675, err=1.197E-03
ug[4,3,2,1]=0.911, Ua=0.909, err=1.493E-03
ug[4,3,2,2]=0.810, Ua=0.808, err=1.607E-03
ug[4,3,2,3]=0.677, Ua=0.675, err=1.515E-03
ug[4,3,2,4]=0.517, Ua=0.516, err=1.239E-03
ug[4,3,3,1]=0.810, Ua=0.808, err=1.420E-03
ug[4,3,3,2]=0.677, Ua=0.675, err=1.512E-03
ug[4,3,3,3]=0.517, Ua=0.516, err=1.405E-03
ug[4,3,3,4]=0.336, Ua=0.335, err=1.125E-03
ug[4,3,4,1]=0.677, Ua=0.675, err=1.192E-03
ug[4,3,4,2]=0.517, Ua=0.516, err=1.219E-03
ug[4,3,4,3]=0.336, Ua=0.335, err=1.108E-03
ug[4,3,4,4]=0.142, Ua=0.141, err=8.807E-04
ug[4,4,1,1]=0.911, Ua=0.909, err=1.229E-03
ug[4,4,1,2]=0.810, Ua=0.808, err=1.261E-03
ug[4,4,1,3]=0.677, Ua=0.675, err=1.181E-03
ug[4,4,1,4]=0.517, Ua=0.516, err=1.002E-03
ug[4,4,2,1]=0.810, Ua=0.808, err=1.275E-03
ug[4,4,2,2]=0.677, Ua=0.675, err=1.320E-03
ug[4,4,2,3]=0.517, Ua=0.516, err=1.222E-03
ug[4,4,2,4]=0.336, Ua=0.335, err=9.974E-04
ug[4,4,3,1]=0.677, Ua=0.675, err=1.192E-03
ug[4,4,3,2]=0.517, Ua=0.516, err=1.219E-03
ug[4,4,3,3]=0.336, Ua=0.335, err=1.108E-03
ug[4,4,3,4]=0.142, Ua=0.141, err=8.807E-04
ug[4,4,4,1]=0.516, Ua=0.516, err=9.972E-04
ug[4,4,4,2]=0.336, Ua=0.335, err=9.800E-04
ug[4,4,4,3]=0.142, Ua=0.141, err=8.664E-04
ug[4,4,4,4]=-0.058, Ua=-0.058, err=6.734E-04
total CPU time  = 0.48600006103515625 seconds
 
                            maxerr=2.095E-03, avgerr=2.914E-04
 
end pde44h_eq.java