  The (viscous) anisotropic hydrodynamic approach, especially after
perturbative inclusion of all residual viscous terms, has been shown to
dramatically outperform viscous hydrodynamics in several simplified situations
for which exact solutions exist but which share with realistic expansion
scenarios the problem of large dissipative currents. We will report on the
present status of applying viscous anisotropic hydrodynamics in a highly
efficient simulation of the full three-dimensional quark-gluon plasma. Results
from accelerated $3{+}1$-dimensional viscous hydrodynamic simulations using
graphics processing units will be compared to the anisotropic frameworks.
