Dai, Lipeng. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (p. 73-75). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgement --- p.iv / Chapter 1 --- Introduction --- p.1 / Chapter 1.0.1 --- Linear sampling method --- p.2 / Chapter 1.0.2 --- choice of cut-off values --- p.5 / Chapter 1.0.3 --- Underwater image problem --- p.7 / Chapter 2 --- Mathematical justification of LSM --- p.10 / Chapter 2.1 --- Some mathematical preparations --- p.11 / Chapter 2.2 --- Well-posedness of an interior transmission problem --- p.13 / Chapter 2.3 --- Linear sampling method: full aperture --- p.20 / Chapter 2.4 --- Linear sampling method: limited aperture --- p.23 / Chapter 3 --- Strengthened linear sampling method --- p.28 / Chapter 3.1 --- Proof of theorem 1.0.3 --- p.28 / Chapter 3.2 --- Several estimates in theory for strengthened LSM --- p.33 / Chapter 4 --- Underwater imaging problem --- p.38 / Chapter 4.1 --- Boundary integral method --- p.38 / Chapter 4.2 --- Approximation of the Integral Kernel in (4.12) --- p.40 / Chapter 4.3 --- Numerical solution of (4.12) --- p.44 / Chapter 4.4 --- Underwater image problem --- p.45 / Chapter 4.5 --- Imaging scheme without a reference object --- p.48 / Chapter 4.6 --- Numerical examples without a reference object --- p.49 / Chapter 4.7 --- Imaging scheme with a reference object --- p.59 / Chapter 4.8 --- Numerical examples with a reference object --- p.61
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327088 |
| Date | January 2011 |
| Contributors | Dai, Lipeng., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, vii, 75 p. : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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