From the summary: We discuss numerical methods for computing the pressure inside a two- or three-dimensional inviscid bubble with negligible density suspended in Stokes flow, subject to a specified rate of expansion. In the case of flow past a solitary two- or three-dimensional bubble, the bubble pressure is found by solving an integral equation of the first kind for normal derivative of the pressure on the side of the liquid over the free surface, while requiring that the pressure field decays at a rate that is faster than the potential due to a point source. In another approach, an explicit expression for the bubble pressure is derived by applying the reciprocal theorem for the flow around the bubble and for the flow due to a point source situated inside the bubble.