Factorization of boundary value problems using the invariant embedding method / (Record no. 247463)
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| 001 - CONTROL NUMBER | |
| control field | ocn962753358 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20190328114817.0 |
| 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---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 161116s2016 enka ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | N$T |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | N$T |
| Modifying agency | IDEBK |
| -- | EBLCP |
| -- | YDX |
| -- | OPELS |
| -- | OCLCF |
| -- | IDB |
| -- | OCLCQ |
| -- | WTU |
| -- | OTZ |
| -- | CNCGM |
| -- | OCLCQ |
| -- | U3W |
| -- | MERUC |
| -- | D6H |
| -- | OCLCQ |
| -- | EZ9 |
| -- | OCLCQ |
| -- | WYU |
| -- | MERER |
| -- | OCLCQ |
| 019 ## - | |
| -- | 962840668 |
| -- | 964529140 |
| -- | 967028571 |
| -- | 967571204 |
| -- | 969416542 |
| -- | 975020862 |
| -- | 975078454 |
| -- | 978769254 |
| -- | 1066466898 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780081010907 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0081010907 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 1785481436 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781785481437 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)962753358 |
| Canceled/invalid control number | (OCoLC)962840668 |
| -- | (OCoLC)964529140 |
| -- | (OCoLC)967028571 |
| -- | (OCoLC)967571204 |
| -- | (OCoLC)969416542 |
| -- | (OCoLC)975020862 |
| -- | (OCoLC)975078454 |
| -- | (OCoLC)978769254 |
| -- | (OCoLC)1066466898 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA379 |
| Item number | .H46 2016eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 005000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 034000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.35 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Henry, J. |
| Fuller form of name | (Jacques), |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Factorization of boundary value problems using the invariant embedding method / |
| Medium | [electronic resource] |
| Statement of responsibility, etc. | Jacques Henry, Angel M. Ramos. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | London : |
| Name of producer, publisher, distributor, manufacturer | ISTE Press Ltd ; |
| Place of production, publication, distribution, manufacture | Kidlington, Oxford : |
| Name of producer, publisher, distributor, manufacturer | Elsevier Ltd, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2016 |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | �2016 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xvii, 238 pages) : |
| Other physical details | illustrations. |
| 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 | Mathematics and statistics |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (pages 223-236) and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Front Cover ; Dedication ; Factorization of Boundary Value Problems Using the Invariant Embedding Method; Copyright ; Contents; Preface; Chapter 1. Presentation of the Formal Computation of Factorization; 1.1. Definition of the model problem and its functional framework; 1.2. Direct invariant embedding; 1.3. Backward invariant embedding; 1.4. Internal invariant embedding; Chapter 2. Justification of the Factorization Computation; 2.1. Functional framework; 2.2. Semi-discretization; 2.3. Passing to the limit; Chapter 3. Complements to the Model Problem. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3.1. An alternative method for obtaining the factorization3.2. Other boundary conditions; 3.3. Explicitly taking into account the boundary conditions and the right-hand side; 3.4. Periodic boundary conditions in x; 3.5. An alternative but unstable formulation; 3.6. Link with the Steklov-Poincar�e operator; 3.7. Application of the Schwarz kernel theorem: link with Green's functions and Hadamard's formula; Chapter 4. Interpretation of the Factorization through a Control Problem; 4.1. Formulation of problem (P0) in terms of optimal control. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4.2. Summary of results on the decoupling of optimal control problems4.3. Summary of results of A. Bensoussan on Kalman optimal filtering; 4.4. Parabolic regularization for the factorization of elliptic boundary value problems; Chapter 5. Factorization of the Discretized Problem; 5.1. Introduction and problem statement; 5.2. Application of the factorization method to problem (Ph); 5.3. A second method of discretization; 5.4. A third possibility: centered scheme; 5.5. Row permutation; 5.6. Case of a discretization of the section by finite elements; Chapter 6. Other Problems. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6.1. General second-order linear elliptic problems6.2. Systems of coupled boundary value problems; 6.3. Linear elasticity system; 6.4. Problems of order higher than 2; 6.5. Stokes problems; 6.6. Parabolic problems; Chapter 7. Other Shapes of Domain; 7.1. Domain generalization: transformation preserving orthogonal coordinates; 7.2. Quasi-cylindrical domains with normal velocity fields; 7.3. Sweeping the domain by surfaces of arbitrary shape; Chapter 8. Factorization by the QR Method; 8.1. Normal equation for problem (P0) in section 1.1. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 8.2. Factorization of the normal equation by invariant embedding8.3. The QR method; Chapter 9. Representation Formulas for Solutions of Riccati Equations; 9.1. Representation formulas; 9.2. Diagonalization of the two-point boundary value problem; 9.3. Homographic representation of P(x); 9.4. Factorization of problem (P0) with a Dirichlet condition at x =0; Appendix. Gaussian LU Factorization as a Method of Invariant Embedding; A.1. Invariant embedding for a linear system; A.2. Block tridiagonal systems; Bibliography; Index; Back Cover. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Boundary value problems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Factorization (Mathematics) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Invariant imbedding. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Calculus. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Mathematical Analysis. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Boundary value problems. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00837122 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Factorization (Mathematics) |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00919711 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Invariant imbedding. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00977977 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 655 #0 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic book. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ramos, Angel M., |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Henry, J. (Jacques). |
| Title | Factorization of boundary value problems using the invariant embedding method. |
| Place, publisher, and date of publication | London : ISTE Press Ltd ; Kidlington, Oxford : Elsevier Ltd, [2016] |
| International Standard Book Number | 1785481436 |
| Record control number | (OCoLC)945105395 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Mathematics and statistics series (ISTE) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | http://www.sciencedirect.com/science/book/9781785481437 |
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