Methods and systems are provided for expediting engine system heating by stagnating coolant in one of a plurality of loops in an engine cooling system. Degradation of the various valves and thermostats of the cooling system can be diagnosed by adjusting the valve and monitoring changes in one or more of coolant temperature, transmission temperature and cabin temperature. Based on engine operating conditions, the various valves may be adjusted to vary coolant temperature in different regions of the cooling system, thereby providing fuel economy benefits.