A control device for controlling a heating system having at least one first heat exchanger disposed in a first part of a building, and at least one second heat exchanger (2; 2a) disposed in a second part of a building, the control device comprising at least the following: - at least one first temperature sensor for being associated with the first heat exchanger and for measuring a temperature in the first part of the building, - at least one second temperature sensor for being associated with the second heat exchanger (2; 2a) and for measuring a temperature in the second part of the building, - a control station configured to initiate a temperature compensation by simply recirculating a fluid medium to be used for heat exchange depending on the temperatures (T1, T2) measured by the first and the second temperature sensor, wherein an at least partial exchange of the fluid medium takes place between the first heat exchanger and the second heat exchanger (2; 2a); and - switching elements (13, 14) configured for switching on and off a circulating pump and a mixing valve, the mixing valve provided at a heating source, at the control station, or at a distributor, wherein the control station is specifically configured to use the switching elements (13, 14) to set the mixing valve to a closed circuit between the first and the second heat exchanger (1, 2) and to switch on the circulating pump in order to initiate the temperature compensation simply by circulation, characterized in that the control station is configured to always automatically initiate and/or maintain a circulating circuit between the first heat exchanger and the second heat exchanger (2; 2a) whenever the temperature in the first part of the building is greater than a first target temperature prescribed for the first part of the building and at the same time the temperature in the second part of the building is less than a second target temperature prescribed for the second part of the building, wherein the second target temperature is less than or equal to the first target temperature. - at least one first temperature sensor for being associated with the first heat exchanger and for measuring a temperature in the first part of the building, - at least one second temperature sensor for being associated with the second heat exchanger (2; 2a) and for measuring a temperature in the second part of the building, - a control station configured to initiate a temperature compensation by simply recirculating a fluid medium to be used for heat exchange depending on the temperatures (T1, T2) measured by the first and the second temperature sensor, wherein an at least partial exchange of the fluid medium takes place between the first heat exchanger and the second heat exchanger (2; 2a); and - switching elements (13, 14) configured for switching on and off a circulating pump and a mixing valve, the mixing valve provided at a heating source, at the control station, or at a distributor, wherein the control station is specifically configured to use the switching elements (13, 14) to set the mixing valve to a closed circuit between the first and the second heat exchanger (1, 2) and to switch on the circulating pump in order to initiate the temperature compensation simply by circulation, characterized in that