The coefficient sequences of multivariate rational functions appear in many areas combinatorics. Their diagonal enjoy nice arithmetic and asymptotic properties, the field analytic combinatorics several variables (ACSV) makes it possible to compute expansions. We consider these methods from point view effectivity. In particular, given a function, ACSV requires one determine (generically) finite ...

For a wide class of problems in continuum mechanics like those involving phase transitions or finite elastoplasticity, the governing potentials tend to be not quasiconvex. This leads to the occurrence of microstructures of in principle arbitrarily small scale, which cannot be resolved by standard discretization schemes. Their effective macroscopic properties, however, can efficiently be recover...