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Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations.
・ISBN 978-0-415-30528-0 hard GB£ 210.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-429-18203-7
| 著者・編者 | Lakshmikantham, V. / Koksal, S., |
|---|---|
| シリーズ | Mathematical Analysis and Applications |
| 出版社 | (CRC Press, UK) |
| 出版年月 | 2003 |
| ページ数 | 328 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-13090＞ |
解説
A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type. This volume describes that technique, which has played a valuable role in unifying a variety of nonlinear problems, particularly when combined with the quasilinearization method. The first part of this monograph describes the general methodology using the classic approach, while the second part develops the same basic ideas via the variational technique. The text provides a useful and timely reference for applied scientists, engineers and numerical analysts.