The time-dependent density functional theory (TDDFT) and the many-body perturbation method (GW@BSE) are considered as the two most popular and successful methods to describe the excited-stated properties of materials. In fact, both methods have been reviewed in this classical paper published in the Review of Morden Physics. From that almost twenty years have passed. What are the recent developments of TDDFT? What's the most popular and successful package that implements TDDFT? And what're the main challenges to realize the simulation of real materials with TDDFT?

Disclaimer: According to the one-topic-per-answer, a twin question related to the GW@BSE method is asked in another post. But any comparisons between both methods in recent developments are welcome.


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