Provided are gap-fill methods. The methods comprise: (a) providing a semiconductor substrate having a relief image on a surface of the substrate, the relief image comprising a plurality of gaps to be filled; (b) applying a gap-fill composition over the relief image, wherein the gap-fill composition comprises a self-crosslinkable polymer and a solvent, wherein the self-crosslinkable polymer comprises a first unit comprising a polymerized backbone and a crosslinkable group pendant to the backbone; and (c) heating the gap-fill composition at a temperature to cause the polymer to self-crosslink. The methods find particular applicability in the manufacture of semiconductor devices for the filling of high aspect ratio gaps.