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We review time-dependent multiconfiguration self-consistent-field (TD-MCSCF)method and time-dependent optimized coupled-cluster (TD-OCC) method forfirst-principles simulations of high-field phenomena such as tunnelingionization and high-order harmonic generation in atoms and molecules irradiatedby a strong laser field. These methods provide a flexible and systematicallyimprovable description of the multielectron dynamics by expressing theall-electron wavefunction by configuration interaction expansion orcoupled-cluster expansion, using time-dependent one-electron orbital functions.The time-dependent variational principle plays a key role to derive thesemethods satisfying gauge invariance and Ehrenfest theorem. Thereal-time/real-space implementation with an absorbing boundary conditionenables the simulation of high-field processes involving multiple excitationand ionization. We present a detailed, comprehensive discussion of suchfeatures of TD-MCSCF and TD-OCC methods.

Time-dependent multiconfiguration self-consistent-field and  time-dependent optimized coupled-cluster methods for intense laser-driven  multielectron dynamics