Piano Forum

I started playing the violin when I was 6 years old and the piano around 3 years later. I played the violin for 12 years in total and as it was always my main instrument, I ended up performing on it a lot more than on the piano – be it solo, or in the orchestra. I'm sure that this will have considerably contributed to the difference of my performance abilities on both instruments – however, it has always bewildered me that somehow, I find performing on the piano much much harder than on the violin. It's funny because the Violin as an instrument is actually way more difficult, but whenever I performed, I rarely made mistakes, only when I found a piece extremely difficult. However the adrenaline and nervosity usually in fact improved my performances.
On the piano however I freak out! My head is somewhere completely different, I find it hard to focus on the music, I get shaky, and often play the wrong notes. It drives me crazy!!
The only piece I managed to perform perfectly (out of the few I ever properly performed) was Clair de Lune, a couple of years ago. Currently I'm learning Liszts Liebestraum and Chopin's Nocturne Op. 48 No. 1, and would love to be able to perform those at some point. However they're quite hard, and as much as I can play them in the comfort of my home, my hands tend to go haywire in front of others.
Is this a problem that can only get better by knowing the piece inside out and infinite amount of practice, or are there any practical tips and tricks one could apply?
Would be super grateful for any help