  Numerical simulation of superconducting devices is a powerful tool for
understanding the principles of their work and improving their design. We
present a new pseudospectral method for two-dimensional magnetization and
transport current superconducting strip problems with an arbitrary
current-voltage relation, spatially inhomogeneous strips, and strips in a
nonuniform applied field. The method is based on the bivariate expansions in
Chebyshev polynomials and Hermite functions. It can be used for numerical
modeling magnetic flux pumps of different types and investigating AC losses in
coated conductors with local defects. Using a realistic two-dimensional version
of the superconducting dynamo benchmark problem as an example, we showed that
our new method is a competitive alternative to finite element methods.
