Inverse and Ill-Posed Problems:
Inverse and Ill-Posed Problems is a collection of papers presented at a seminar of the same title held in Austria in June 1986. The papers discuss inverse problems in various disciplines; mathematical solutions of integral equations of the first kind; general considerations for ill-posed problems; a...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Saint Louis
Elsevier Science
2014
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| Schlagworte: | |
| Online-Zugang: | FAW01 |
| Zusammenfassung: | Inverse and Ill-Posed Problems is a collection of papers presented at a seminar of the same title held in Austria in June 1986. The papers discuss inverse problems in various disciplines; mathematical solutions of integral equations of the first kind; general considerations for ill-posed problems; and the various regularization methods for integral and operator equations of the first kind. Other papers deal with applications in tomography, inverse scattering, detection of radiation sources, optics, partial differential equations, and parameter estimation problems. One paper discusses three topics on ill-posed problems, namely, the imposition of specified types of discontinuities on solutions of ill-posed problems, the use of generalized cross validation as a data based termination rule for iterative methods, and also a parameter estimation problem in reservoir modeling. Another paper investigates a statistical method to determine the truncation level in Eigen function expansions and for Fredholm equations of the first kind where the data contains some errors. Another paper examines the use of singular function expansions in the inversion of severely ill-posed problems arising in confocal scanning microscopy, particle sizing, and velocimetry. The collection can benefit many mathematicians, students, and professor of calculus, statistics, and advanced mathematics |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | 1 online resource (585 pages) |
| ISBN: | 9781483272658 9780122390401 |
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| 520 | |a Inverse and Ill-Posed Problems is a collection of papers presented at a seminar of the same title held in Austria in June 1986. The papers discuss inverse problems in various disciplines; mathematical solutions of integral equations of the first kind; general considerations for ill-posed problems; and the various regularization methods for integral and operator equations of the first kind. Other papers deal with applications in tomography, inverse scattering, detection of radiation sources, optics, partial differential equations, and parameter estimation problems. One paper discusses three topics on ill-posed problems, namely, the imposition of specified types of discontinuities on solutions of ill-posed problems, the use of generalized cross validation as a data based termination rule for iterative methods, and also a parameter estimation problem in reservoir modeling. Another paper investigates a statistical method to determine the truncation level in Eigen function expansions and for Fredholm equations of the first kind where the data contains some errors. Another paper examines the use of singular function expansions in the inversion of severely ill-posed problems arising in confocal scanning microscopy, particle sizing, and velocimetry. The collection can benefit many mathematicians, students, and professor of calculus, statistics, and advanced mathematics | ||
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| spelling | Engl, Heinz W. Verfasser aut Inverse and Ill-Posed Problems Saint Louis Elsevier Science 2014 © 1987 1 online resource (585 pages) txt rdacontent c rdamedia cr rdacarrier Description based on publisher supplied metadata and other sources Inverse and Ill-Posed Problems is a collection of papers presented at a seminar of the same title held in Austria in June 1986. The papers discuss inverse problems in various disciplines; mathematical solutions of integral equations of the first kind; general considerations for ill-posed problems; and the various regularization methods for integral and operator equations of the first kind. Other papers deal with applications in tomography, inverse scattering, detection of radiation sources, optics, partial differential equations, and parameter estimation problems. One paper discusses three topics on ill-posed problems, namely, the imposition of specified types of discontinuities on solutions of ill-posed problems, the use of generalized cross validation as a data based termination rule for iterative methods, and also a parameter estimation problem in reservoir modeling. Another paper investigates a statistical method to determine the truncation level in Eigen function expansions and for Fredholm equations of the first kind where the data contains some errors. Another paper examines the use of singular function expansions in the inversion of severely ill-posed problems arising in confocal scanning microscopy, particle sizing, and velocimetry. The collection can benefit many mathematicians, students, and professor of calculus, statistics, and advanced mathematics Boundary value problems -- Improperly posed problems -- Congresses Inverse problems (Differential equations) -- Congresses Inverses Problem (DE-588)4125161-1 gnd rswk-swf Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Inverses Problem (DE-588)4125161-1 s 1\p DE-604 Inkorrekt gestelltes Problem (DE-588)4186951-5 s 2\p DE-604 Groetsch, C. W. Sonstige oth Erscheint auch als Druck-Ausgabe Engl, Heinz W . Inverse and Ill-Posed Problems 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Engl, Heinz W. Inverse and Ill-Posed Problems Boundary value problems -- Improperly posed problems -- Congresses Inverse problems (Differential equations) -- Congresses Inverses Problem (DE-588)4125161-1 gnd Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd |
| subject_GND | (DE-588)4125161-1 (DE-588)4186951-5 (DE-588)1071861417 |
| title | Inverse and Ill-Posed Problems |
| title_auth | Inverse and Ill-Posed Problems |
| title_exact_search | Inverse and Ill-Posed Problems |
| title_full | Inverse and Ill-Posed Problems |
| title_fullStr | Inverse and Ill-Posed Problems |
| title_full_unstemmed | Inverse and Ill-Posed Problems |
| title_short | Inverse and Ill-Posed Problems |
| title_sort | inverse and ill posed problems |
| topic | Boundary value problems -- Improperly posed problems -- Congresses Inverse problems (Differential equations) -- Congresses Inverses Problem (DE-588)4125161-1 gnd Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd |
| topic_facet | Boundary value problems -- Improperly posed problems -- Congresses Inverse problems (Differential equations) -- Congresses Inverses Problem Inkorrekt gestelltes Problem Konferenzschrift |
| work_keys_str_mv | AT englheinzw inverseandillposedproblems AT groetschcw inverseandillposedproblems |