Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems. (Record no. 100945)
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000 -LEADER | |
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fixed length control field | 03853nam a22004933i 4500 |
001 - CONTROL NUMBER | |
control field | EBC4008727 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | MiAaPQ |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240729130030.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
fixed length control field | m o d | |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr cnu|||||||| |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240724s2004 xx o ||||0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783110960716 |
Qualifying information | (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 9789067644167 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (MiAaPQ)EBC4008727 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (Au-PeEL)EBL4008727 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (CaPaEBR)ebr11074511 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (CaONFJC)MIL807489 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)951971276 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | MiAaPQ |
Language of cataloging | eng |
Description conventions | rda |
-- | pn |
Transcribing agency | MiAaPQ |
Modifying agency | MiAaPQ |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA371 .K18 2005 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Kabanikhin, Sergey I. |
245 10 - TITLE STATEMENT | |
Title | Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Place of production, publication, distribution, manufacture | Berlin/Boston : |
Name of producer, publisher, distributor, manufacturer | De Gruyter, Inc., |
Date of production, publication, distribution, manufacture, or copyright notice | 2004. |
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Date of production, publication, distribution, manufacture, or copyright notice | ©2004. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (188 pages) |
336 ## - CONTENT TYPE | |
Content type term | text |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type term | computer |
Media type code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier type term | online resource |
Carrier type code | cr |
Source | rdacarrier |
490 1# - SERIES STATEMENT | |
Series statement | Inverse and Ill-Posed Problems Series ; |
Volume/sequential designation | v.48 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Intro -- Main definitions and notations -- Introduction -- Chapter 1. Finite-difference scheme inversion (FDSI) -- 1.1. Introduction -- 1.2. Volterra operator equations -- 1.3. Definitions and examples -- 1.4. Convergence of FDSI -- 1.5. Numerical examples -- Chapter 2. Linearized multidimensional inverse problem for the wave equation -- 2.1. Introduction -- 2.2. Problem formulation -- 2.3. Linearization -- 2.4. Analyzing the structure of the solution to one-dimensional direct problem -- 2.5. Existence theorem for the direct problem -- 2.6. Uniqueness of solutions to the inverse problem and regularization -- 2.7. Numerical examples -- Chapter 3. Methods of I. M. GePfand, B. M. Levitan and M. G. Krein -- 3.1. Introduction -- 3.2. Gel'fand-Levitan-Krein (GLK) equation for one-dimensional inverse problem -- 3.3. Multidimensional analog of GLK-equations -- 3.4. Gel'fand-Levitan method for wave equation -- 3.5. Discrete analog of the Gel'fand-Levitan equation -- 3.6. Multidimensional discrete analog -- 3.7. Numerical examples -- Chapter 4. Boundary control method (BC method) -- 4.1. Introduction. Statement of the problem -- 4.2. BC method in one-dimensional case -- 4.3. BC method for 2D acoustic inverse problem -- 4.4. Numerical examples -- Chapter 5. Projection method -- 5.1. Introduction -- 5.2. Projection method for solving inverse problem for the wave equation -- 5.3. Projection method for solving inverse acoustic problem -- 5.4. Numerical examples -- Appendix A -- Appendix B -- Bibliography. |
520 ## - SUMMARY, ETC. | |
Summary, etc. | The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology. |
588 ## - SOURCE OF DESCRIPTION NOTE | |
Source of description note | Description based on publisher supplied metadata and other sources. |
590 ## - LOCAL NOTE (RLIN) | |
Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Inverse problems (Differential equations)--Numerical solutions. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Finite differences. |
655 #4 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Satybaev, Abdigany D. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Shishlenin, Maxim A. |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Print version: |
Main entry heading | Kabanikhin, Sergey I. |
Title | Direct Methods of Solving Multidimensional Inverse Hyperbolic Problems |
Place, publisher, and date of publication | Berlin/Boston : De Gruyter, Inc.,c2004 |
International Standard Book Number | 9789067644167 |
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Inverse and Ill-Posed Problems Series |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4008727">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4008727</a> |
Public note | Click to View |
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