Overview

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

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9780198533702

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Reviews

This book addresses an area that lies at one of the crucial interfaces between mathematics and engineering....Crank's book is especially strong on references, ranging from mathematical classics of the nineteenth century through the important work of recent years. We recommend it. --Applied Mechanics Reviews The book succeeds in its aim of presenting a broad but detailed account of 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. --SIAM Review Clearly and logically presented with good diagrams and an excellent printing format. --The New York Public Library So would I buy the book? I would rather starve, not pay my mortgage, and go bankrupt that do without this book. Anyone involved in moving or free boundary value problems should have this book and, I suspect, a large number of others. --Geophysics

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. The Times Higher Education Supplement

This book addresses an area that lies at one of the crucial interfaces between mathematics and engineering....Crank's book is especially strong on references, ranging from mathematical classics of the nineteenth century through the important work of recent years. We recommend it. --Applied Mechanics Reviews<br> The book succeeds in its aim of presenting a broad but detailed account of 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. --SIAM Review<br> Clearly and logically presented with good diagrams and an excellent printing format. --The New York Public Library<br> So would I buy the book? I would rather starve, not pay my mortgage, and go bankrupt that do without this book. Anyone involved in moving or free boundary value problems should have this book and, I suspect, a large number of others. --Geophysics<br>

This book addresses an area that lies at one of the crucial interfaces between mathematics and engineering....Crank's book is especially strong on references, ranging from mathematical classics of the nineteenth century through the important work of recent years. We recommend it. --AppliedMechanics Reviews The book succeeds in its aim of presenting a broad but detailed account of 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. --SIAM Review Clearly and logically presented with good diagrams and an excellent printing format. --The New York Public Library So would I buy the book? I would rather starve, not pay my mortgage, and go bankrupt that do without this book. Anyone involved in moving or free boundary value problems should have this book and, I suspect, a large number of others. --Geophysics

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