  Gauge-gravity duality provides a robust mathematical framework for studying
the behavior of strongly coupled non-abelian plasmas both near and far away
from thermodynamic equilibrium. In particular, their near-equilibrium transport
coefficients such as viscosity, conductivity, diffusion constants, etc. can be
determined from poles of the retarded Green's function which are the
dissipative eigenmodes i.e., the quasinormal modes (QNMs) of the dual
gravitational field equations. The AdS5/CFT4 correspondence admits the
description of a strongly coupled $\mathcal{N}$= 4 Supersymmetric Yang Mills
(SYM) plasma at non-zero temperature as a dual AdS5 black brane geometry. We
demonstrate the application of pseudospectral methods to solving the dual
Einstein field equations using the example of homogenous isotropization in
$\mathcal{N}$= 4 SYM plasma far from equilibrium. Using this framework, we also
compute the quasinormal modes of electrically (Reissner-Nordstrom) and
magnetically charged AdS5 black branes for the case of vanishing spatial
momenta. The near-extremal behavior of these QNMs is analyzed for both types of
black branes.
