i take it the 0.1 uF cap parallels the 10uF electrolytic, yes? If so, why do I need both?With an AC input, maybe. BUT in this case, common-grounding the input and output reduces the bridge to a single series diode. The 15 V input is more than enough headroom to cover that voltage drop.
In this area, I think you're fine. Reduce C13 to 10 uF, add a 0.1 uF ceramic cap, and make sure they are located as close as possible to the 8403 power pins.
ak
