Surveys on Solution Methods for Inverse Problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Vienna
Springer Vienna
2000
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems |
| Beschreibung: | 1 Online-Ressource (V, 275 p) |
| ISBN: | 9783709162965 9783211834701 |
| DOI: | 10.1007/978-3-7091-6296-5 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042423576 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s2000 |||| o||u| ||||||eng d | ||
| 020 | |a 9783709162965 |c Online |9 978-3-7091-6296-5 | ||
| 020 | |a 9783211834701 |c Print |9 978-3-211-83470-1 | ||
| 024 | 7 | |a 10.1007/978-3-7091-6296-5 |2 doi | |
| 035 | |a (OCoLC)863785633 | ||
| 035 | |a (DE-599)BVBBV042423576 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 518 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Colton, David |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Surveys on Solution Methods for Inverse Problems |c edited by David Colton, Heinz W. Engl, Alfred K. Louis, Joyce R. McLaughlin, William Rundell |
| 264 | 1 | |a Vienna |b Springer Vienna |c 2000 | |
| 300 | |a 1 Online-Ressource (V, 275 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Potential theory (Mathematics) | |
| 650 | 4 | |a Systems theory | |
| 650 | 4 | |a Numerical analysis | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 4 | |a Numerical Analysis | |
| 650 | 4 | |a Systems Theory, Control | |
| 650 | 4 | |a Calculus of Variations and Optimal Control; Optimization | |
| 650 | 4 | |a Potential Theory | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Inverses Problem |0 (DE-588)4125161-1 |2 gnd |9 rswk-swf |
| 655 | 7 | |8 1\p |0 (DE-588)4143413-4 |a Aufsatzsammlung |2 gnd-content | |
| 655 | 7 | |8 2\p |0 (DE-588)1071861417 |a Konferenzschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Inverses Problem |0 (DE-588)4125161-1 |D s |
| 689 | 0 | |8 3\p |5 DE-604 | |
| 700 | 1 | |a Engl, Heinz W. |e Sonstige |4 oth | |
| 700 | 1 | |a Louis, Alfred K. |e Sonstige |4 oth | |
| 700 | 1 | |a McLaughlin, Joyce R. |e Sonstige |4 oth | |
| 700 | 1 | |a Rundell, William |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-7091-6296-5 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027858993 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153099471814656 |
|---|---|
| any_adam_object | |
| author | Colton, David |
| author_facet | Colton, David |
| author_role | aut |
| author_sort | Colton, David |
| author_variant | d c dc |
| building | Verbundindex |
| bvnumber | BV042423576 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863785633 (DE-599)BVBBV042423576 |
| dewey-full | 518 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
| dewey-search | 518 |
| dewey-sort | 3518 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-7091-6296-5 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03268nmm a2200613zc 4500</leader><controlfield tag="001">BV042423576</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2000 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783709162965</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-7091-6296-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783211834701</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-211-83470-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-7091-6296-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863785633</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042423576</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">518</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Colton, David</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Surveys on Solution Methods for Inverse Problems</subfield><subfield code="c">edited by David Colton, Heinz W. Engl, Alfred K. Louis, Joyce R. McLaughlin, William Rundell</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Vienna</subfield><subfield code="b">Springer Vienna</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (V, 275 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Potential theory (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systems theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numerical analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Numerical Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systems Theory, Control</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus of Variations and Optimal Control; Optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Potential Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4143413-4</subfield><subfield code="a">Aufsatzsammlung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">2\p</subfield><subfield code="0">(DE-588)1071861417</subfield><subfield code="a">Konferenzschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Engl, Heinz W.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Louis, Alfred K.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">McLaughlin, Joyce R.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rundell, William</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-7091-6296-5</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027858993</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| genre | 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content 2\p (DE-588)1071861417 Konferenzschrift gnd-content |
| genre_facet | Aufsatzsammlung Konferenzschrift |
| id | DE-604.BV042423576 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783709162965 9783211834701 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858993 |
| oclc_num | 863785633 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (V, 275 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer Vienna |
| record_format | marc |
| spelling | Colton, David Verfasser aut Surveys on Solution Methods for Inverse Problems edited by David Colton, Heinz W. Engl, Alfred K. Louis, Joyce R. McLaughlin, William Rundell Vienna Springer Vienna 2000 1 Online-Ressource (V, 275 p) txt rdacontent c rdamedia cr rdacarrier Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems Mathematics Potential theory (Mathematics) Systems theory Numerical analysis Mathematical optimization Numerical Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Potential Theory Mathematik Inverses Problem (DE-588)4125161-1 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content 2\p (DE-588)1071861417 Konferenzschrift gnd-content Inverses Problem (DE-588)4125161-1 s 3\p DE-604 Engl, Heinz W. Sonstige oth Louis, Alfred K. Sonstige oth McLaughlin, Joyce R. Sonstige oth Rundell, William Sonstige oth https://doi.org/10.1007/978-3-7091-6296-5 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 | Colton, David Surveys on Solution Methods for Inverse Problems Mathematics Potential theory (Mathematics) Systems theory Numerical analysis Mathematical optimization Numerical Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Potential Theory Mathematik Inverses Problem (DE-588)4125161-1 gnd |
| subject_GND | (DE-588)4125161-1 (DE-588)4143413-4 (DE-588)1071861417 |
| title | Surveys on Solution Methods for Inverse Problems |
| title_auth | Surveys on Solution Methods for Inverse Problems |
| title_exact_search | Surveys on Solution Methods for Inverse Problems |
| title_full | Surveys on Solution Methods for Inverse Problems edited by David Colton, Heinz W. Engl, Alfred K. Louis, Joyce R. McLaughlin, William Rundell |
| title_fullStr | Surveys on Solution Methods for Inverse Problems edited by David Colton, Heinz W. Engl, Alfred K. Louis, Joyce R. McLaughlin, William Rundell |
| title_full_unstemmed | Surveys on Solution Methods for Inverse Problems edited by David Colton, Heinz W. Engl, Alfred K. Louis, Joyce R. McLaughlin, William Rundell |
| title_short | Surveys on Solution Methods for Inverse Problems |
| title_sort | surveys on solution methods for inverse problems |
| topic | Mathematics Potential theory (Mathematics) Systems theory Numerical analysis Mathematical optimization Numerical Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Potential Theory Mathematik Inverses Problem (DE-588)4125161-1 gnd |
| topic_facet | Mathematics Potential theory (Mathematics) Systems theory Numerical analysis Mathematical optimization Numerical Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Potential Theory Mathematik Inverses Problem Aufsatzsammlung Konferenzschrift |
| url | https://doi.org/10.1007/978-3-7091-6296-5 |
| work_keys_str_mv | AT coltondavid surveysonsolutionmethodsforinverseproblems AT englheinzw surveysonsolutionmethodsforinverseproblems AT louisalfredk surveysonsolutionmethodsforinverseproblems AT mclaughlinjoycer surveysonsolutionmethodsforinverseproblems AT rundellwilliam surveysonsolutionmethodsforinverseproblems |