  Linearized augmented planewaves combined with local-orbitals (LAPW+lo) are
arguably the most precise basis set to represent Kohn-Sham states. When
employed within real-time time-dependent density functional theory (RT-TDDFT),
they promise ultimate precision achievable for exploring the evolution of
electronic excitations. In this work, we present an implementation of RT-TDDFT
in the full-potential LAPW+lo code exciting. We benchmark our results against
those obtained by linear-response TDDFT with exciting and by RT-TDDFT
calculations with the Octopus code, finding a satisfactory level of agreement.
To illustrate possible applications of our implementation, we have chosen three
examples: the dynamic behavior of excitations in MoS$_2$ induced by a laser
pulse, the third harmonic generation in silicon, and a pump-probe experiment in
diamond.
