Method for combustion, in a combustion chamber, of a fuel with an oxygen-rich preheated oxidizer with heat and smoke generation in said combustion chamber, method wherein: - the smoke is evacuated from the combustion chamber, said evacuated smoke containing residual heat; - the oxidizer is preheated by means of said residual heat in at least one heat exchanger (40a, 40b); and - the preheated oxidizer is provided to the combustion chamber for the combustion of the fuel, - in a first heat exchanger, an oxidant, with a content O1 of oxygen from 80% vol. to 100% vol., and preferably from 90% vol. to 100% vol. is heated, by heat exchange with a first heat transfer fluid (24, 45) containing at least a first part of the residual heat from the evacuated smoke, from an initial temperature TOi at the inlet of the first exchanger up to a final temperature TOf at the outlet of the first exchanger, with TOf > TOi; - the heated oxidant from the first heat exchanger is mixed with air, with a mainly inert gas or with a mixture of air with mainly inert gas, so as to obtain an oxygen-rich oxidizer with a content O2 of oxygen from 70% vol. to 90% vol., and preferably from 75% vol. to 85% vol., with O2 < O1; - in a second heat exchanger, the oxygen-rich oxidizer with a content O2 of oxygen 70% vol. to 90% vol., and preferably 75% vol. to 85% vol., with O2 < O1, is heated, by heat exchange with a second heat transfer fluid (23, 46) containing at least a second part of the residual heat from the evacuated smoke, from an initial temperature TCi at the inlet of the second heat exchanger up to a final temperature TCf at the outlet of the second heat exchanger, with TCf > TCi; and - at least one part of the preheated oxygen-rich oxidizer from the second heat exchanger is provided to the combustion chamber for the combustion of the fuel. - the smoke is evacuated from the combustion chamber, said evacuated smoke containing residual heat; - the oxidizer is preheated by means of said residual heat in at least one heat exchanger (40a, 40b); and - the preheated oxidizer is provided to the combustion chamber for the combustion of the fuel, - in a first heat exchanger, an oxidant, with a content O1 of oxygen from 80% vol. to 100% vol., and preferably from 90% vol. to 100% vol. is heated, by heat exchange with a first heat transfer fluid (24, 45) containing at least a first part of the residual heat from the evacuated smoke, from an initial temperature TOi at the inlet of the first exchanger up to a final temperature TOf at the outlet of the first exchanger, with TOf > TOi; - the heated oxidant from the first heat exchanger is mixed with air, with a mainly inert gas or with a mixture of air with mainly inert gas, so as to obtain an oxygen-rich oxidizer with a content O2 of oxygen from 70% vol. to 90% vol., and preferably from 75% vol. to 85% vol., with O2 < O1; - in a second heat exchanger, the oxygen-rich oxidizer with a content O2 of oxygen 70% vol. to 90% vol., and preferably 75% vol. to 85% vol., with O2 < O1, is heated, by heat exchange with a second heat transfer fluid (23, 46) containing at least a second part of the residual heat from the evacuated smoke, from an initial temperature TCi at the inlet of the second heat exchanger up to a final temperature TCf at the outlet of the second heat exchanger, with TCf > TCi; and - at least one part of the preheated oxygen-rich oxidizer from the second heat exchanger is provided to the combustion chamber for the combustion of the fuel.