A method for production of diaryl carbonate, comprising: introducing reactants comprising dialkyl carbonate, an aromatic alcohol, and a transesterification catalyst to a first reactive distillation column to produce alkyl aryl carbonate and alkyl alcohol; recovering from the first reactive distillation column a first top stream (stream 5) comprising dialkyl carbonate and alkyl alcohol, a first bottom stream (stream 6) comprising alkyl aryl carbonate, aromatic alcohol, dialkyl carbonate, aryl alkyl ether, and transesterification catalyst, and a first side stream (stream 13) comprising dialkyl carbonate, aryl alkyl ether, and alkyl alcohol; introducing the first bottom stream (stream 6) into a second reactive distillation column without passing through another reactive distillation column to produce diaryl carbonate by disproportionation of the alkyl aryl carbonate; recovering from the second reactive distillation column a second bottom stream (stream 15) comprising diaryl carbonate and alkyl aryl carbonate, and a second top stream (stream 16) comprising aromatic alcohol, alkyl aryl ether, and dialkyl carbonate, and optionally recycling the second top stream (stream 16) to the first reactive distillation column; introducing the first side stream (stream 13) to a first rectification column; recovering from the first rectification column a third bottom stream (stream 12) comprising alkyl aryl ether and a third top stream (stream 14) comprising dialkyl carbonate and alkyl alcohol, and optionally recycling the third top stream (stream 14) to the first reactive distillation column; introducing the first top stream (stream 5) into a second rectification column; and recovering from the second rectification column a fourth top stream (stream 7) comprising dialkyl carbonate /alkyl alcohol azeotrope and a fourth bottom stream (stream 8) comprising dialkyl carbonate, and optionally recycling the fourth bottom stream (stream 8) to the first reactive distillation column; introducing the second bottom stream (stream 15) to a flash vessel; recovering from the flash vessel a fifth bottom stream (stream 10) comprising catalyst and diaryl carbonate, and a fifth top stream (stream 9) comprising diaryl carbonate, alkyl aryl carbonate and aromatic alcohol; introducing the fifth bottom stream (stream 10) to an evaporator; and recovering from the evaporator a sixth top stream (stream 11) comprising diaryl carbonate and a sixth bottom stream (stream 20) comprising the catalyst and diaryl carbonate, and recycling the catalyst to first reactive distillation column; wherein the method does not comprise an additional reactive distillation column other than the first reactive distillation column and the second reactive distillation column. introducing reactants comprising dialkyl carbonate, an aromatic alcohol, and a transesterification catalyst to a first reactive distillation column to produce alkyl aryl carbonate and alkyl alcohol; recovering from the first reactive distillation column a first top stream (stream 5) comprising dialkyl carbonate and alkyl alcohol, a first bottom stream (stream 6) comprising alkyl aryl carbonate, aromatic alcohol, dialkyl carbonate, aryl alkyl ether, and transesterification catalyst, and a first side stream (stream 13) comprising dialkyl carbonate, aryl alkyl ether, and alkyl alcohol; introducing the first bottom stream (stream 6) into a second reactive distillation column without passing through another reactive distillation column to produce diaryl carbonate by disproportionation of the alkyl aryl carbonate; recovering from the second reactive distillation column a second bottom stream (stream 15) comprising diaryl carbonate and alkyl aryl carbonate, and a second top stream (stream 16) comprising aromatic alcohol, alkyl aryl ether, and dialkyl carbonate, and optionally recycling the second top stream (stream 16) to the first reactive distillation column; introducing the first side stream (stream 13) to a first rectification column; recovering from the first rectification column a third bottom stream (stream 12) comprising alkyl aryl ether and a third top stream (stream 14) comprising dialkyl carbonate and alkyl alcohol, and optionally recycling the third top stream (stream 14) to the first reactive distillation column; introducing the first top stream (stream 5) into a second rectification column; and recovering from the second rectification column a fourth top stream (stream 7) comprising dialkyl carbonate /alkyl alcohol azeotrope and a fourth bottom stream (stream 8) comprising dialkyl carbonate, and optionally recycling the fourth bottom stream (stream 8) to the first reactive distillation column; introducing the second bottom stream (stream 15) to a flash vessel; recovering from the flash vessel a fifth bottom stream (stream 10) comprising catalyst and diaryl carbonate, and a fifth top stream (stream 9) comprising diaryl carbonate, alkyl aryl carbonate and aromatic alcohol; introducing the fifth bottom stream (stream 10) to an evaporator; and recovering from the evaporator a sixth top stream (stream 11) comprising diaryl carbonate and a sixth bottom stream (stream 20) comprising the catalyst and diaryl carbonate, and recycling the catalyst to first reactive distillation column; wherein the method does not comprise an additional reactive distillation column other than the first reactive distillation column and the second reactive distillation column.