How and when did the name "Buddhism" appear? What is called "Buddhism" is a whole range of different schools, sects, practices etc. that has in common that they are based on the teachings of Siddharta Gautama/the Buddha.  But is the name "Buddhism" used as a name for these teachings anywhere else than in the "West"? How and when did the name "Buddhism" appear?
How and when did the name "Buddhism" appear?

I'm not an expert, but here's what I found this evening: the article  SCHOPENHAUER AND BUDDHISM by Peter Abelson says,


  When  the tenets  of Buddhism  became  known  in Europe  during  the third and fourth  decade  of the nineteenth   century


... and says that Schopenhauer referenced work by Isaak Jacob  Schmidt.

Wikipedia's article for Isaac Jacob Schmidt says that one of his publications was titled,


  Über die Verwandtschaft der gnostisch-theosophischen Lehren mit den Religions-Systemen des Orients, vorzüglich des Buddhaismus, Leipzig 1828


And this book Prisoners of Shangri-La: Tibetan Buddhism and the West quotes Isaac Schmidt as saying,



So according to Isaac Jacob Schmidt,


  The peoples of that faith call themselves followers of the teachings of the Buddha.


According to Wikipedia he was living in Russia and studying Mongolian and Tibetan history.


  His scientific work became noted after the publication of a work on the history of Mongols and Tibetans in 1824. ... Until his death in 1847, Schmidt published a multitude of works on Mongolian and Tibetan studies