A brake pressure computing apparatus (300, 400) comprising a target cylinder pressure acquirer that is adapted to acquire a target cylinder pressure on the basis of a required braking force, the target cylinder pressure being a target value of the pressure inside the brake cylinder of an air brake, and a pressure differential information acquirer that is adapted to acquire pressure differential information indicating a cylinder pressure differential, the difference between the target cylinder pressure and the actual value of the pressure inside the brake cylinder, the brake pressure computing apparatus (300, 400) characterized by comprising: - a deceleration differential information acquirer that is adapted to acquire deceleration differential information indicating a deceleration differential, the difference between the target value of the deceleration and the actual value of the deceleration; and - a target cylinder pressure correction value acquirer that is adapted to acquire a target cylinder pressure correction value on the basis of the deceleration differential information and the pressure differential information; - wherein the target cylinder pressure correction value acquirer is adapted to set a sign of the target cylinder pressure correction value to positive or negative on the basis of the deceleration differential information, and to set an absolute value of the target cylinder pressure correction value on the basis of the pressure differential information; and - wherein the target cylinder pressure acquirer is adapted to acquire the target cylinder pressure on the basis of the required braking force and the target cylinder pressure correction value. a pressure differential information acquirer that is adapted to acquire pressure differential information indicating a cylinder pressure differential, the difference between the target cylinder pressure and the actual value of the pressure inside the brake cylinder, the brake pressure computing apparatus (300, 400) characterized by comprising: - a deceleration differential information acquirer that is adapted to acquire deceleration differential information indicating a deceleration differential, the difference between the target value of the deceleration and the actual value of the deceleration; and - a target cylinder pressure correction value acquirer that is adapted to acquire a target cylinder pressure correction value on the basis of the deceleration differential information and the pressure differential information; - wherein the target cylinder pressure correction value acquirer is adapted to set a sign of the target cylinder pressure correction value to positive or negative on the basis of the deceleration differential information, and to set an absolute value of the target cylinder pressure correction value on the basis of the pressure differential information; and - wherein the target cylinder pressure acquirer is adapted to acquire the target cylinder pressure on the basis of the required braking force and the target cylinder pressure correction value. - a deceleration differential information acquirer that is adapted to acquire deceleration differential information indicating a deceleration differential, the difference between the target value of the deceleration and the actual value of the deceleration; and - a target cylinder pressure correction value acquirer that is adapted to acquire a target cylinder pressure correction value on the basis of the deceleration differential information and the pressure differential information; - wherein the target cylinder pressure correction value acquirer is adapted to set a sign of the target cylinder pressure correction value to positive or negative on the basis of the deceleration differential information, and to set an absolute value of the target cylinder pressure correction value on the basis of the pressure differential information; and - wherein the target cylinder pressure acquirer is adapted to acquire the target cylinder pressure on the basis of the required braking force and the target cylinder pressure correction value.