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Zusatztext This is a review on the grand scale! invaluable to those working in the area! as well as an excellent introduction to this expanding field for any scientist. Klappentext Here is a wide-ranging! comprehensive account of the mathematical formulation of problems involving free boundaries as they occur in such diverse areas as hydrology! metallurgy! chemical engineering! soil science! molecular biology! materials science! and steel and glass production. Many new methods of solution are discussed! including modern computer techniques which address multidimensional! multiphase practical problems. Zusammenfassung Free and moving boundary problems occur in such varied subjects as hydrology, heat flow, metallurgy, molecular diffusion, flame propagation, steel and glass production, and oil drilling and mathematical finance. This book presents a comprehensive account of the mathematical formulation of such problems and many new methods of solution. Computer methods, which allow multi-dimensional, multi-phase practical problems to be solved, are discussed. This book was written because of the upsurge of interest and research in this field. It bridges the gap between the various interested parties (including mathematicians, numerical and financial analysts, hydrologists, mechanical and chemical engineers, soil scientists, molecular biologists, physicists, metallurgists, and material scientists). The examples given are drawn from a variety of these fields. "... a broad but detailed account on mathematical and numerical methods for free and moving boundary problems that will be accessible to researchers both in the applied sciences and in applied mathematics.", C M Elliot, SIAM, Dec. 1988 Inhaltsverzeichnis 1.: Moving boundary problems: formulation 2.: Free boundary problems: formulation 3.: Analytical solutions 4.: Front-tracking methods 5.: Front-fixing methods 6.: Fixed-domain methods 7.: Analytical solution of seepage problems 8.: Numerical solution of free boundary problems References Author index Subject index ...
