A board of canvassers as provided by state law shall be appointed by the city council. The board of canvassers shall convene on the second day succeeding each primary, regular or special election at the hour of 8:00 p. m. at the office of the city clerk in the city hall, and shall canvass the returns filed with the clerk and shall determine the results thereof. The board of canvassers, after determination of the results of such election[,] shall certify this determination with the city clerk.