In this chapter, we review the recent new developments in time-dependent density functional (TDDFT) methods for treatment of dynamics of many-electron molecules in intense
laser fields. We discuss some recent development of TDDFT with optimized effective potential (OEP) and self-interaction-correction (SIC) for many-electron systems which allows the use of orbital-independent single-particle local potential with correct asymptotic behavior. We also describe several numerical techniques recently developed for efficient and high-precision treatment of the time-dependent Kohn-Sham equations. The usefulness of these procedures is illustrated by a few case studies of multiphoton processes in diatomic
and triatomic (CO2) molecules, including multiphoton ionization and high-order harmonic
generation.