Free and moving boundary problems
著者
書誌事項
Free and moving boundary problems
（Oxford science publications）
Clarendon, 1987
- : pbk
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注記
"First issued in paperback 1987"--T.p. verso
Bibliography : p. [394]-408
Includes indexes
内容説明・目次
内容説明
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
目次
- 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
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