  Multiresolution analysis of electronic structure affords the opportunity to
capture the full physics of atomic cores in a systematically improvable manner.
Applying new techniques, we demonstrate for the first time that multiresolution
analysis of all-electron calculations within density-functional theory can be
carried out to high precision with a computational effort comparable to that of
the corresponding plane-wave pseudopotential calculation, which neither
captures the full core physics nor is systematically improvable. With this
approach, we present calculations of paramagnetic core-level shifts where local
density-functional theory is the sole uncontrolled approximation.
