A ceramic wall-flow filter for filtering particulate matter from gases and methods for manufacturing such wall-flow filters are disclosed. The filter includes an array of porous ceramic walls defining a pattern of end-plugged inlet and outlet cells, and heat absorbing elements disposed within at least some of the outlet cells such that a bulk heat capacity of the outlet cells is greater than a bulk capacity of the inlet cells. The heat absorbing elements increase a bulk heat capacity of the filter without substantially interfering with a flow of gas through the porous ceramic walls by allowing thinner walls. According to the method, during the step of extruding or thereafter, heat absorbing elements are formed within at least some of the outlet cells such that a heat capacity of the outlet cells is greater than the inlet cells.