The calculation of Sobolev's ? function of radiative transfer via numerical inversion of Laplace transforms

The linear integral equation of convolution type of Sobolev's function ϕ is solved computationally using a new method for the numerical inversion of Laplace transforms. This research is sponsored by the United States Air Force under Project RAND —Contract No. AF 49 (638), 1700—monitored by the Directorate of Operational Requirements and Development Plans, Deputy Chief of Staff, Research and Development Hq, USAF. Views or conclusions contained in this paper should not be interpreted as representing the official opinion or policy of the United States Air Force.