In a method for operating a reciprocating-piston internal combustion engine having internal exhaust gas energy recuperation, a cylinder head recuperator is heated up during an exhaust cycle by hot exhaust gas flowing through the cylinder head recuperator prior to being exhausted from the cylinder via an exhaust valve. During an intake cycle, fresh charge flows into the power chamber of the cylinder by passing around a cylinder head recuperator. During the subsequent compression stroke, the cylinder head recuperator is moved out of a recess formed in the cylinder head such that some of the compressed charge can flow into the recess. Near the end of the compression stroke, the cylinder head recuperator is moved back into the recess so that compressed charge located in the recess is forced to flow through the hot cylinder head recuperator and thereby be heated up immediately before ignition of the compressed charge.