This text investigates the mathematical formulation and numerical solution of free and moving boundary problems across a broad spectrum of physical and engineering disciplines. John Crank, a recognized authority in the field of numerical methods for partial differential equations, synthesizes complex theoretical frameworks with practical applications. The book provides a rigorous examination of how moving boundaries—where the interface between two phases changes over time—are modeled and solved using both analytical and modern computational techniques.

Experts and researchers in applied mathematics frequently cite this work as a foundational reference for understanding the transition from theoretical modeling to practical computational application. Readers often note the high level of technical density, making it a standard resource for graduate-level study and professional engineering research.