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In this paper we deal with an abstract problem which includes the linearizedequations of coupled sound and heat flow as an example. Recently, a timediscretization of a simultaneous abstract evolution equation applying to someparabolic-hyperbolic phase-field systems has been studied. This paper focuseson a time discretization of an abstract problem applying to the linearizedequations of coupled sound and heat flow. Also, this paper gives someparabolic-hyperbolic phase-field systems as examples.

Time discretization of an abstract problem applying to the linearized equations of coupled sound and heat flow