Free and Moving Boundary Problems

Paperback | April 30, 1999

byJohn Crank

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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 suchproblems 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 onmathematical 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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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 suchproblems and many new methods of solution. ...

John Crank is at Brunel University.

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Format:PaperbackDimensions:436 pages, 9.21 × 6.14 × 1.02 inPublished:April 30, 1999Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198533705

ISBN - 13:9780198533702

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Table of Contents

1. Moving boundary problems: formulation2. Free boundary problems: formulation3. Analytical solutions4. Front-tracking methods5. Front-fixing methods6. Fixed-domain methods7. Analytical solution of seepage problems8. Numerical solution of free boundary problemsReferencesAuthor indexSubject index

Editorial Reviews

`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