Inverse Problems: Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, May 18–24, 1986
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Weitere Verfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Basel
Birkhäuser Basel
1986
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Schriftenreihe: | International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d'Analyse numérique
77 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | The present volume contains manuscripts of lectures or topics related to the lectures which were given at the conference on "Inverse Problems" at the mathematical Research Institute at Oberwolfach. The conference took place during the week of May 18-24, 1986, and was managed by the editors. Recalling Professor Joseph Keller's paper entitled Inverse Problems, American Mathematical Monthly, 83 (1976), we give two direct quotes. "We call two problems inverses of one another if the formulation of each involves all or part of the solution of the other. Often, for historical reasons, one of the two problems has been studied extensively for some time, while the other is newer and not so well understood. In such cases, the former is called the direct problem, while the latter is called the inverse problem. " "The main sources of inverse problems are science and engineering. Often these problems concern the determination of the properties of some inaccess ible regions from observations on the boundary of that region. " Often, inverse problems are not well posed. This increases the difficulty in their analysis and numerical solution. As can be seen from the table of content of this volume, the conference covered inverse problems in scattering theory, seismology, tomography, estimation of coefficients and source terms in parabolic and elliptic differential equations, the inverse Sturm-Liouville problem, and numerical methods. The editors wish to thank Professor M. Barner and his co-workers of the Mathematical Research Institute for their help in creating the conference |
Beschreibung: | 1 Online-Ressource (192 p.) 4 illus |
ISBN: | 9783034870146 9783034870160 |
DOI: | 10.1007/978-3-0348-7014-6 |
Internformat
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490 | 0 | |a International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d'Analyse numérique |v 77 | |
500 | |a The present volume contains manuscripts of lectures or topics related to the lectures which were given at the conference on "Inverse Problems" at the mathematical Research Institute at Oberwolfach. The conference took place during the week of May 18-24, 1986, and was managed by the editors. Recalling Professor Joseph Keller's paper entitled Inverse Problems, American Mathematical Monthly, 83 (1976), we give two direct quotes. "We call two problems inverses of one another if the formulation of each involves all or part of the solution of the other. Often, for historical reasons, one of the two problems has been studied extensively for some time, while the other is newer and not so well understood. In such cases, the former is called the direct problem, while the latter is called the inverse problem. " "The main sources of inverse problems are science and engineering. Often these problems concern the determination of the properties of some inaccess ible regions from observations on the boundary of that region. " Often, inverse problems are not well posed. This increases the difficulty in their analysis and numerical solution. As can be seen from the table of content of this volume, the conference covered inverse problems in scattering theory, seismology, tomography, estimation of coefficients and source terms in parabolic and elliptic differential equations, the inverse Sturm-Liouville problem, and numerical methods. The editors wish to thank Professor M. Barner and his co-workers of the Mathematical Research Institute for their help in creating the conference | ||
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Datensatz im Suchindex
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any_adam_object | |
author2 | Cannon, John Rozier Hornung, Ulrich 1941-1996 |
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author_GND | (DE-588)1166437159 |
author_facet | Cannon, John Rozier Hornung, Ulrich 1941-1996 |
building | Verbundindex |
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collection | ZDB-2-SMA ZDB-2-BAE |
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dewey-hundreds | 000 - Computer science, information, general works |
dewey-ones | 050 - General serial publications |
dewey-raw | 50 |
dewey-search | 50 |
dewey-sort | 250 |
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discipline | Allgemeine Naturwissenschaft Mathematik |
doi_str_mv | 10.1007/978-3-0348-7014-6 |
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spelling | Inverse Problems Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, May 18–24, 1986 edited by John Rozier Cannon, Ulrich Hornung Basel Birkhäuser Basel 1986 1 Online-Ressource (192 p.) 4 illus txt rdacontent c rdamedia cr rdacarrier International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d'Analyse numérique 77 The present volume contains manuscripts of lectures or topics related to the lectures which were given at the conference on "Inverse Problems" at the mathematical Research Institute at Oberwolfach. The conference took place during the week of May 18-24, 1986, and was managed by the editors. Recalling Professor Joseph Keller's paper entitled Inverse Problems, American Mathematical Monthly, 83 (1976), we give two direct quotes. "We call two problems inverses of one another if the formulation of each involves all or part of the solution of the other. Often, for historical reasons, one of the two problems has been studied extensively for some time, while the other is newer and not so well understood. In such cases, the former is called the direct problem, while the latter is called the inverse problem. " "The main sources of inverse problems are science and engineering. Often these problems concern the determination of the properties of some inaccess ible regions from observations on the boundary of that region. " Often, inverse problems are not well posed. This increases the difficulty in their analysis and numerical solution. As can be seen from the table of content of this volume, the conference covered inverse problems in scattering theory, seismology, tomography, estimation of coefficients and source terms in parabolic and elliptic differential equations, the inverse Sturm-Liouville problem, and numerical methods. The editors wish to thank Professor M. Barner and his co-workers of the Mathematical Research Institute for their help in creating the conference Science (General) Science, general Naturwissenschaft Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Inverses Problem (DE-588)4125161-1 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content 2\p (DE-588)1071861417 Konferenzschrift 1986 Oberwolfach gnd-content Inverses Problem (DE-588)4125161-1 s Differentialgleichung (DE-588)4012249-9 s 3\p DE-604 Cannon, John Rozier edt Hornung, Ulrich 1941-1996 (DE-588)1166437159 edt https://doi.org/10.1007/978-3-0348-7014-6 Verlag Volltext 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Inverse Problems Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, May 18–24, 1986 Science (General) Science, general Naturwissenschaft Differentialgleichung (DE-588)4012249-9 gnd Inverses Problem (DE-588)4125161-1 gnd |
subject_GND | (DE-588)4012249-9 (DE-588)4125161-1 (DE-588)1071861417 |
title | Inverse Problems Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, May 18–24, 1986 |
title_auth | Inverse Problems Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, May 18–24, 1986 |
title_exact_search | Inverse Problems Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, May 18–24, 1986 |
title_full | Inverse Problems Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, May 18–24, 1986 edited by John Rozier Cannon, Ulrich Hornung |
title_fullStr | Inverse Problems Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, May 18–24, 1986 edited by John Rozier Cannon, Ulrich Hornung |
title_full_unstemmed | Inverse Problems Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, May 18–24, 1986 edited by John Rozier Cannon, Ulrich Hornung |
title_short | Inverse Problems |
title_sort | inverse problems proceedings of the conference held at the mathematical research institute at oberwolfach black forest may 18 24 1986 |
title_sub | Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, May 18–24, 1986 |
topic | Science (General) Science, general Naturwissenschaft Differentialgleichung (DE-588)4012249-9 gnd Inverses Problem (DE-588)4125161-1 gnd |
topic_facet | Science (General) Science, general Naturwissenschaft Differentialgleichung Inverses Problem Konferenzschrift Konferenzschrift 1986 Oberwolfach |
url | https://doi.org/10.1007/978-3-0348-7014-6 |
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