The Krein method and the globally convergent method for experimental data
Comparison of numerical performances of two methods for coefficient inverse problems is described. The first one is the classical Krein integral equation method, and the second one is the recently developed approximately globally convergent numerical method. This comparison is performed for both com...
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| Vydané v: | Applied numerical mathematics Ročník 74; s. 111 - 127 |
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| Hlavní autori: | , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier B.V
01.12.2013
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| ISSN: | 0168-9274, 1873-5460 |
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| Abstract | Comparison of numerical performances of two methods for coefficient inverse problems is described. The first one is the classical Krein integral equation method, and the second one is the recently developed approximately globally convergent numerical method. This comparison is performed for both computationally simulated and experimental data. |
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| AbstractList | Comparison of numerical performances of two methods for coefficient inverse problems is described. The first one is the classical Krein integral equation method, and the second one is the recently developed approximately globally convergent numerical method. This comparison is performed for both computationally simulated and experimental data. |
| Author | Nguyen, Lam Pantong, Natee Klibanov, Michael V. Karchevsky, Andrey L. Sullivan, Anders |
| Author_xml | – sequence: 1 givenname: Andrey L. surname: Karchevsky fullname: Karchevsky, Andrey L. email: karchevs@math.nsc.ru organization: Sobolev Mathematical Institute, 4 Acad. Koptyug Ave, Novosibirsk, 630090, Russia – sequence: 2 givenname: Michael V. surname: Klibanov fullname: Klibanov, Michael V. email: mklibanv@uncc.edu organization: Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA – sequence: 3 givenname: Lam surname: Nguyen fullname: Nguyen, Lam email: lam.h.nguyen2.civ@mail.mil organization: US Army Research Laboratory, 2800 Powder Mill Road, Adelphy, MD 20783-1197, USA – sequence: 4 givenname: Natee surname: Pantong fullname: Pantong, Natee email: npantong@hotmail.com organization: Department of Mathematics and Computer Science, Royal Thai Air Force Academy, Bangkok, Thailand – sequence: 5 givenname: Anders surname: Sullivan fullname: Sullivan, Anders email: anders.j.sullivan.civ@mail.mil organization: US Army Research Laboratory, 2800 Powder Mill Road, Adelphy, MD 20783-1197, USA |
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| Cites_doi | 10.1088/0266-5611/28/9/095007 10.1088/0266-5611/22/2/002 10.1080/00036811.2013.768339 10.1515/1569394042530900 10.2478/s11533-013-0202-3 10.1137/070711414 10.1088/0266-5611/26/12/125009 10.1093/imrn/rns025 10.1080/00036810903481166 10.1515/jip-2012-0072 10.1515/jip-2012-0063 10.1007/s10958-012-0680-z 10.1088/0266-5611/26/4/045003 10.1002/sapm199697119 10.1109/36.368205 10.1090/trans2/001/11 10.1117/12.719313 |
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| SubjectTerms | 1-d Coefficient Inverse Problems Calibration factor Coefficients Comparison of two methods Computation Computer simulation Integral equations Inverse problems Mathematical models Numerical analysis |
| Title | The Krein method and the globally convergent method for experimental data |
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