LDR | | 01980nmm uu200397 4500 |
001 | | 000000333042 |
005 | | 20240805172059 |
008 | | 181129s2018 |||||||||||||||||c||eng d |
020 | |
▼a 9780438017870 |
035 | |
▼a (MiAaPQ)AAI10791350 |
035 | |
▼a (MiAaPQ)purdue:22494 |
040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
082 | 0 |
▼a 510 |
100 | 1 |
▼a Kepley, Paul A. |
245 | 10 |
▼a Techniques for Reconstructing a Riemannian Metric via the Boundary Control Method. |
260 | |
▼a [S.l.] :
▼b Purdue University.,
▼c 2018 |
260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
300 | |
▼a 124 p. |
500 | |
▼a Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B. |
500 | |
▼a Adviser: Maarten V. de Hoop. |
502 | 1 |
▼a Thesis (Ph.D.)--Purdue University, 2018. |
520 | |
▼a In this dissertation, we consider some new techniques related to the solution of the inverse boundary value problem for the wave equation with partial boundary data. Most results are formulated in a geometric setting, where waves propagate in th |
520 | |
▼a We consider three problems. In the first problem, we provide a technique to use the N-to-D map to construct the travel times between interior points with known semi-geodesic coordinates and boundary points belonging to Gamma. Such travel times c |
520 | |
▼a In addition to providing constructive procedures, we analyze the stability of some steps from these procedures. In particular we consider the stability of the redatuming procedure and the stability of the metric reconstruction procedure from int |
590 | |
▼a School code: 0183. |
650 | 4 |
▼a Mathematics. |
690 | |
▼a 0405 |
710 | 20 |
▼a Purdue University.
▼b Mathematics. |
773 | 0 |
▼t Dissertation Abstracts International
▼g 79-10B(E). |
773 | |
▼t Dissertation Abstract International |
790 | |
▼a 0183 |
791 | |
▼a Ph.D. |
792 | |
▼a 2018 |
793 | |
▼a English |
856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14997639
▼n KERIS |
980 | |
▼a 201812
▼f 2019 |
990 | |
▼a 관리자 |