This volume investigates the mathematical modeling and numerical analysis of moving boundary problems, specifically within the contexts of heat conduction and diffusion processes. The editors, J. R. Ockenden and W. R. Hodgkins, compile research presented at a 1974 Oxford conference to address the challenges of Stefan problems and phase-change phenomena. The text provides a rigorous examination of the analytical and computational techniques required to solve non-linear partial differential equations where the domain of the solution evolves over time.

Experts recognize this collection as a foundational record of the state of research in moving boundary problems during the mid-1970s. The text is highly technical and serves as a specialized reference for researchers in applied mathematics and engineering.